Thermal Expansion L = L o T L = change in_______ = coefficient of _______expansion L o =...

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Thermal Expansion L = L o T L = change in_______ = coefficient of _______expansion L o = original ________ T = change in o C or___

Transcript of Thermal Expansion L = L o T L = change in_______ = coefficient of _______expansion L o =...

Page 1: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Thermal Expansion

L = Lo T

L = change in_______ = coefficient of _______expansion Lo = original ________ T = change in oC or___

Page 2: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Thermal Expansion

L = Lo T

L = change in_______ = coefficient of _______expansion Lo = original ________ T = change in oC or___

Page 3: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Thermal Expansion

L = Lo T

L = change in length = coefficient of linear expansion Lo = original length T = change in oC or K

Page 4: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Thermal Expansion

L = Lo T

L = change in length = coefficient of linear expansion Lo = original length T = change in oC or K

Page 5: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Thermal Expansion

L = Lo T

L = change in length = coefficient of linear expansion Lo = original length T = change in oC or K

Page 6: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Thermal Expansion

L = Lo T

L = change in length = coefficient of linear expansion Lo = original length T = change in oC or K

Page 7: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Thermal Expansion

L = Lo T

L = change in length = coefficient of linear expansion Lo = original length T = change in oC or K

Page 8: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Problem Example

A structure steel beam holds up a scoreboard in an open-air stadium. If the beam is 12 m long when it is put into place on a winter day at 00C how much longer will it be in the summer at 320C.

= 12x10-6 m-1K-1

L = Lo T= 12x10-6 m-1K-1(12m)(32K) L = .0046 m

Page 9: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Problem Example

A structure steel beam holds up a scoreboard in an open-air stadium. If the beam is 12 m long when it is put into place on a winter day at 00C how much longer will it be in the summer at 320C.

= 12x10-6 m-1K-1

L = Lo T= 12x10-6 m-1K-1(12m)(32K) L = .0046 m

Page 10: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Problem Example

A structure steel beam holds up a scoreboard in an open-air stadium. If the beam is 12 m long when it is put into place on a winter day at 00C how much longer will it be in the summer at 320C.

= 12x10-6 m-1K-1

L = Lo T= 12x10-6 m-1K-1(12m)(32K) L = .0046 m

Page 11: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Problem Example

A structure steel beam holds up a scoreboard in an open-air stadium. If the beam is 12 m long when it is put into place on a winter day at 00C how much longer will it be in the summer at 320C.

= 12x10-6 m-1K-1

L = Lo T= 12x10-6 m-1K-1(12m)(32K) L = .0046 m

Page 12: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Thermo Equations Rate of heat transfer is equal to the ratio of the product of the

coefficient of thermal conductivity, Area, temperature difference and the Length of the path

-10oC H 25oC 20oC H 25oC

H = kAT l

Higher heat transfer, A is larger, T is larger and the window is not Thick (l)

Lower heat transfer, A is smaller, TIs smaller and window thickness isGreater (l)

Page 13: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Thermo Equations Rate of heat transfer is equal to the ratio of the product of the

coefficient of thermal conductivity, Area, temperature difference and the Length of the path

-10oC H 25oC 20oC H 25oC

H = kAT l

Higher heat transfer, A is larger, T is larger and the window is not Thick (l)

Lower heat transfer, A is smaller, TIs smaller and window thickness isGreater (l)

Page 14: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Thermo Equations Rate of heat transfer is equal to the ratio of the product of the

coefficient of thermal conductivity, Area, temperature difference and the Length of the path

-10oC H 25oC 20oC H 25oC

H = kAT l

Higher heat transfer, A is larger, T is larger and the window is not Thick (l)

Lower heat transfer, A is smaller, TIs smaller and window thickness isGreater (l)

Page 15: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Thermo Equations Rate of heat transfer is equal to the ratio of the product of the

coefficient of thermal conductivity, Area, temperature difference and the Length of the path

-10oC H 25oC 20oC H 25oC

H = kAT l

Higher heat transfer, A is larger, T is larger and the window is not Thick (l)

Lower heat transfer, A is smaller, TIs smaller and window thickness isGreater (l)

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Chapter 13 Temperature

1717 Fahrenheit – Instrument maker 0 Lowest temperature he could achieve with

water,ice, and sea _____ 96 body temperature

By chance water froze at ___Fand boiled at____F

Page 17: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Chapter 13 Temperature

1717 Fahrenheit – Instrument maker 0 Lowest temperature he could achieve with

water,ice, and sea salt 96 body temperature

By chance water froze at 32 and boiled at 212.

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Chapter 13 Temperature

1742 Anders Celsius used the freezing and boiling points of water for reference points and then divided them into 100 equal parts.

100 = freezing pt of ______ 0 = boiling pt of ______ at standard pressure Later changed to 0 C = Fpt and 100 C as Bpt First known as centigrade scale 1954 recognized as _______scale

Page 19: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Chapter 13 Temperature

1742 Anders Celsius used the freezing and boiling points of water for reference points and then divided them into 100 equal parts.

100 = freezing pt of water 0 = boiling pt of water at standard pressure Later changed to 0 C = Fpt and 100 C as Bpt First known as centigrade scale 1954 recognized as Celsius scale

Page 20: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Gas Laws

Vol

OoC 100oC

Temperature 0C

Page 21: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Gas Laws

Volume is directly related to temperature

Vol V = constant T

OoC 100oC

Temperature 0C

Page 22: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Gas Laws

Vol

-273 oC OoC 100oC

Temperature 0C

Page 23: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Gas Laws

Pressure

OoC 100oC

Temperature 0C

Page 24: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Gas Laws

Pressure is directly related to temperature

Pressure P = constant T

OoC 100oC Temperature 0C

Page 25: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Gas Laws

Pressure

-273 oC OoC 100oC

Temperature 0C

Page 26: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Absolute Zero

The temperature at which the volume of of an ideal gas is zero and the pressure is zero due to the lack of _______of the particles 1848 – William Thomson – latter to be known as Lord Kelvin formalized the concept theoretically.

-273.150C is considered absolute ______or 273.16 degrees below the _____point of water (ice, water and water vapor exists at .010C at a pressure of 610 Pa)

Page 27: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Absolute Zero

The temperature at which the volume of of an ideal gas is zero and the pressure is zero due to the lack of motion of the particles 1848 – William Thomson – latter to be known as Lord Kelvin formalized the concept theoretically.

-273.150C is considered absolute zero or 273.16 degrees below the triple point of water (ice water and water vapor exists at .010C at a pressure of 610 Pa)

Page 28: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Absolute Zero

0C to Kelvin = 0C +_____= Kelvin

Kelvin to oC = K - _____= oC

Page 29: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Absolute Zero

0C to Kelvins = 0C + 273 = Kelvins

Kelvins to oC = K - 273 = oC

Page 30: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Absolute Zero

0C to Kelvins = 0C + 273 = Kelvins

Kelvins to oC = K - 273 = oC

Page 31: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Gas laws continued

P

Volume

Page 32: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Gas laws continued

The pressure of a gas sample is inversely

proportional to its volume

P PV = constant

Volume

Page 33: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Gas law problem

A tank having a volume of 1.00 m3 is filled with air at 00C to 20 times atmospheric pressure. How much volume will that gas occupy at 1.00 atm and 200C?

Page 34: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Gas law problem

A tank having a volume of 1.00 m3 is filled with air at 00C to 20 times atmospheric pressure. How much volume will that gas occupy at 1.00 atm and 200C?

P1V1 = P2V2

T1 T2

1.00 m3(20 atm) = V2(1.00 atm)

273 K 293 K

V2 = 21.46 m3

Page 35: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Ideal Gas Equation

PV = nRT

P = 1.013 x 105 Pa V =.0224 m3

n = ________ T = 273 Kelvins R = 8.31 m3 Pa / mol K

Page 36: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Ideal Gas Equation

PV = nRT

P = 1.013 x 105 Pa V =.0224 m3

n = 1.0 moles T = 273 Kelvins R = 8.31 m3 Pa / mol K

Page 37: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Ideal Gas Equation Problem

PV = nRT

What is the volume of 1.00 mole of any gas at 1.013 x105 Pa and 273 K?

V = n R T P

Page 38: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Ideal Gas Equation Problem

PV = nRT

What is the volume of 1.00 mole of any gas at 1.013 x105 Pa and 273 K?

V = n R T = 1.00 mol (8.31 J / mol k) (273 K) P 1.013 x105 Pa

Page 39: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Ideal Gas Equation Problem

PV = nRT

What is the volume of 1.00 mole of any gas at 1.013 x105 Pa and 273 K?

V = n R T = 1.00 mol (8.31 J / mol k) (273 K) P 1.013 x105 Pa V= .0224 m3

Page 40: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Ideal Gas Equation

PV = nRT

n = N NA=6.02x1023

PV= N kB T

kB = 1.38 x 10-23 J/K

Page 41: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Kinetic Theory

How does the microscopic movement of particles determine the macroscopic properties of matter?

James Clerk Maxwell and Ludwig Boltzman

Gas molecules are extremely small, hard, and perfectly _______-

Page 42: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Kinetic Theory

How does the microscopic movement of particles determine the macroscopic properties of matter?

James Clerk Maxwell and Ludwig Boltzman

Gas molecules are extremely small, hard, and perfectly elastic-

Page 43: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Kinetic Theory Assumptions

Ideal gas molecules – have no ______of their own and have ___attraction for other gas molecules.

Theoretical calculations based on the conservation of momentum associated with the _______of gas molecules on a surface and the gas laws have created an equation that relates the temperature of a gas sample to the average kinetic energy of the molecules.

K.E.avg = 3/2 KBT T is in _____Kb=____________

Page 44: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Kinetic Theory Assumptions

Ideal gas molecules – have no volume of their own and have NO attraction for other gas molecules.

Theoretical calculations based on the conservation of momentum associated with the collision of gas molecules on a surface and the gas laws have created an equation that relates the temperature of a gas sample to the average kinetic energy of the molecules.

K.E.avg = 3/2 KBT T is in Kelvin Kb1.38x10-23 J/K

Page 45: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Kinetic Theory Assumptions

Ideal gas molecules – have no volume of their own and have NO attraction for other gas molecules.

Theoretical calculations based on the conservation of momentum associated with the collision of gas molecules on a surface and the gas laws have created an equation that relates the temperature of a gas sample to the average kinetic energy of the molecules.

K.E.avg = 3/2 KBT T is in Kelvin Kb1.38x10-23 J/K

Page 46: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Kinetic Theory Assumptions

Ideal gas molecules – have no volume of their own and have NO attraction for other gas molecules.

Theoretical calculations based on the conservation of momentum associated with the collision of gas molecules on a surface and the gas laws have created an equation that relates the temperature of a gas sample to the average kinetic energy of the molecules.

K.E.avg = 3/2 KBT T is in Kelvin Kb1.38x10-23 J/K

Page 47: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Average speed of gas molecules K.E.avg =

½ mv2avg=

(v2)avg=

Root mean square velocity =

Page 48: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Average speed of gas molecules K.E.avg = 3/2 KBT

½ mv2avg=3/2 KBT

(v2)avg= 3kBT m

Root mean square velocity = 3kBT m

Page 49: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Example Problem

What is the root mean square velocity of hydrogen molecules and oxygen molecules at STP? H2 = 2.0g / mole 2.0 amu

O2 = 32.0g / mole 32.0 amu

Root mean square velocity= 3kBT m

vrms= 3 (1.38x10-23 J / k) (273 K) =1839 m/s 2.0 amu(1.67x10-27kg)

Page 50: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Example Problem

What is the root mean square velocity of hydrogen molecules and oxygen molecules at STP?

O2 = 32.0g / mole 32.0 amu

Root mean square velocity= 3RT M

vrms= 3 (1.38x10-23 J / k) (273 K) =460 m/s 32.0 g(1 kg/100g)

Page 51: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Relative Velocities – Graham law of diffusion vA = mB

VB mA

The velocity of particle A is inversely related

to the square root of the mass

Page 52: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

The internal energy of a sample is defined as the sum total of the __________ ___________energy of the molecules in a sample

U=N(1/2mv2) U=3/2 NkT N= U=3/2 nRT n=

Page 53: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

The internal energy of a sample is defined as the sum total of the _kinetic energy of the molecules in a sample

U=N(1/2mv2) U=3/2 NkT N= U=3/2 nRT n=

Page 54: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

The internal energy of a sample is defined as the sum total of the _kinetic energy of the molecules in a sample

U=N(1/2mv2) U=3/2 NkT N=# of molecules U=3/2 nRT n=# of moles of molecules

Page 55: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

The internal energy of a sample is defined as the sum total of the _kinetic energy of the molecules in a sample

U=N(1/2mv2) U=3/2 NkT N=# of molecules U=3/2 nRT n=# of moles of molecules U=3/2 PV

Page 56: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

The internal energy of a sample is defined as the sum total of the _kinetic energy of the molecules in a sample

U=N(1/2mv2) U=3/2 NkT N=# of molecules U=3/2 nRT n=# of moles of molecules U=3/2 PV 2/3 U = PV

Page 57: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

The internal energy of a system would _________ if heat were added to the system. Q=____

The internal energy of a system would _________ if work was done on the system. A Piston _______ a gas.

Page 58: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

The internal energy of a system would increase if heat were added to the system. Q=+

The internal energy of a system would increase if work was done on the system. A Piston compress a gas.

Page 59: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

The internal energy of a system would increase if heat were added to the system. Q=+

The internal energy of a system would increase if work was done on the system. A Piston compress a gas.

Page 60: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

The internal energy of a system would increase if heat were added to the system. Q=+

The internal energy of a system would increase if work was done on the system. A Piston compress a gas.

Page 61: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

The internal energy of a system would increase if heat were added to the system. Q=+

The internal energy of a system would increase if work was done on the system. A Piston compress a gas.

Page 62: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

The internal energy of a system would increase if heat were added to the system. Q=+

The internal energy of a system would increase if work was done on the system. A Piston compress a gas.

Page 63: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

The internal energy of a system would increase if heat were added to the system. Q=+

The internal energy of a system would increase if work was done on the system. A Piston compresses a gas.

Page 64: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

The internal energy of a system would increase if heat were added to the system. Q=+

The internal energy of a system would increase if work was done on the system. A Piston compresses a gas.

Page 65: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

The internal energy of a system would increase if heat were added to the system. Q=+

The internal energy of a system would increase if work was done on the system. A Piston compresses a gas.

Page 66: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

First Law of Thermodynamics Change in Internal Energy = Heat

transferred plus work done ON the system Formula

U = Q + W

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1st Law of Thermodynamicschapter 15

First Law of Thermodynamics Change in Internal Energy = Heat

transferred plus work done ON the system Formula

U = Q + W

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1st Law of Thermodynamicschapter 15

First Law of Thermodynamics Change in Internal Energy = Heat

transferred plus work done ON the system Formula

U = Q + W

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1st Law of Thermodynamicschapter 15

First Law of Thermodynamics Change in Internal Energy = Heat

transferred plus work done ON the system Formula

U = Q + W

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1st Law of Thermodynamicschapter 15

If heat is REMOVED from a system then the internal energy of the system with respect to the heat transferred will ______. System is _________than environment Q=___

If work is done BY the system then the internal energy of the system with respect to the work done will ___________.System is _________W= ____

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1st Law of Thermodynamicschapter 15

If heat is REMOVED from a system then the internal energy of the system with respect to the heat transferred will decrease. System is warmer than environment Q= negative

If work is done BY the system then the internal energy of the system with respect to the work done will decrease . System is expands W=negative

Page 72: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

If heat is REMOVED from a system then the internal energy of the system with respect to the heat transferred will decrease. System is warmer than environment Q= negative

If work is done BY the system then the internal energy of the system with respect to the work done will decrease . System is expands W=negative

Page 73: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

1st Law of Thermodynamicschapter 15

If heat is REMOVED from a system then the internal energy of the system with respect to the heat transferred will decrease. System is warmer than environment Q= negative

If work is done BY the system then the internal energy of the system with respect to the work done will decrease . System is expands W=negative

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1st Law of Thermodynamicschapter 15

If heat is REMOVED from a system then the internal energy of the system with respect to the heat transferred will decrease. System is warmer than environment Q= negative

If work is done BY the system then the internal energy of the system with respect to the work done will decrease . System is expands W=negative

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1st Law of Thermodynamicschapter 15

If heat is REMOVED from a system then the internal energy of the system with respect to the heat transferred will decrease. System is warmer than environment Q= negative

If work is done BY the system then the internal energy of the system with respect to the work done will decrease . System is expands W=negative

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1st Law of Thermodynamicschapter 15

If heat is REMOVED from a system then the internal energy of the system with respect to the heat transferred will decrease. System is warmer than environment Q= negative

If work is done BY the system then the internal energy of the system with respect to the work done will decrease . System is expands W=negative

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1st Law of Thermodynamicschapter 15

If heat is ADDED to a system then the internal energy of the system with respect to the heat transferred will ______. System is ________ then the environment. Q=___

If work is done ON the system then the internal energy of the system with respect to the work done will ___________. System is ________ W=___

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1st Law of Thermodynamicschapter 15

If heat is ADDED to a system then the internal energy of the system with respect to the heat transferred will increase. System is cooler then the environment. Q= +

If work is done ON the system then the internal energy of the system with respect to the work done will increase. System is compressing W=Positive

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1st Law of Thermodynamicschapter 15

If heat is ADDED to a system then the internal energy of the system with respect to the heat transferred will increase. System is cooler then the environment. Q= +

If work is done ON the system then the internal energy of the system with respect to the work done will increase. System is compressing W=Positive

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1st Law of Thermodynamicschapter 15

If heat is ADDED to a system then the internal energy of the system with respect to the heat transferred will increase. System is cooler then the environment. Q= +

If work is done ON the system then the internal energy of the system with respect to the work done will increase. System is compressing W=Positive

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1st Law of Thermodynamicschapter 15

If heat is ADDED to a system then the internal energy of the system with respect to the heat transferred will increase. System is cooler then the environment. Q= +

If work is done ON the system then the internal energy of the system with respect to the work done will increase. System is compressing W=Positive

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1st Law of Thermodynamicschapter 15

If heat is ADDED to a system then the internal energy of the system with respect to the heat transferred will increase. System is cooler then the environment. Q= +

If work is done ON the system then the internal energy of the system with respect to the work done will increase. System is compressing W=Positive

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1st Law of Thermodynamicschapter 15

If heat is ADDED to a system then the internal energy of the system with respect to the heat transferred will increase. System is cooler then the environment. Q= +

If work is done ON the system then the internal energy of the system with respect to the work done will increase. System is compressing W=Positive

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1st Law of Thermodynamicschapter 15

Isothermal Process-A process carried out at constant ___________. The heat reservoir is very _________ which essentially keeps the _________ constant.

P

V

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1st Law of Thermodynamicschapter 15

Isothermal Process-A process carried out at constant temperature. The heat reservoir is very large which essentially keeps the temperature constant. U = O

P

V

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1st Law of Thermodynamicschapter 15

Isothermal Process-A process carried out at constant temperature. The heat reservoir is very large which essentially keeps the temperature constant. U = O

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1st Law of Thermodynamicschapter 15

Isothermal Process-A process carried out at constant temperature. The heat reservoir is very large which essentially keeps the temperature constant. U = O

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1st Law of Thermodynamicschapter 15

Adiabatic process is one in which no _____ is allowed to flow into or out of the system. Q = ___ These processes usually occur very ________.

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1st Law of Thermodynamicschapter 15

Adiabatic process is one in which no heat is allowed to flow into or out of the system. Q = zero. These processes usually occur very rapidly . U = + if compressed

U = - if expands

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1st Law of Thermodynamicschapter 15

Adiabatic process is one in which no heat is allowed to flow into or out of the system. Q = zero. These processes usually occur very rapidly . U = + if compressed

U = - if expands

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1st Law of Thermodynamicschapter 15

Adiabatic process is one in which no heat is allowed to flow into or out of the system. Q = zero. These processes usually occur very rapidly . U = + if compressed

U = - if expands

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1st Law of Thermodynamicschapter 15

Adiabatic process is one in which no heat is allowed to flow into or out of the system. Q = zero. These processes usually occur very rapidly . U = + if compressed

U = - if expands

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1st Law of Thermodynamicschapter 15

Isobaric Processes-one in which the _______ is keep ________.

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1st Law of Thermodynamicschapter 15

Isobaric Processes-one in which the pressure is keep constant. Work = -P V = + if compressed

Work =-P V = - if expanded

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1st Law of Thermodynamicschapter 15

Isobaric Processes-one in which the pressure is keep constant. Work = -P V = + if compressed

Work = -P V = - if expanded

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1st Law of Thermodynamicschapter 15

Isobaric Processes-one in which the pressure is keep constant. Work = -P V = + if compressed

Work = -P V = - if expanded

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1st Law of Thermodynamicschapter 15

Isobaric Processes-one in which the pressure is keep constant. Work = -P V = + if compressed

Work =-P V = - if expanded

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1st Law of Thermodynamicschapter 15

Isochoric-A process in which there is no change in _________

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1st Law of Thermodynamicschapter 15

Isochoric-A process in which there is no change in volume. No work is done

W=O

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1st Law of Thermodynamicschapter 15

Isochoric-A process in which there is no change in volume. No work is done

W=O

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Work and volume changes

Work = _______ * __________

Work = _________ * ___ ___________ Work= If the systems volume increases (it ________) then the work is

done ___ the system and Work has a ___ sign. The change in volume(__ V is ___)

If the systems volume decreases (it ________) then the work is done ___ the system and Work has a ___ sign. The change in volume(__V is ____)

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Work and volume changes

Work = force *distance Work = Force *Volume ___ Area Work= - Pressure x Change in Volume = - P V If the systems volume increases (it expands) then the work is

done by the system and Work has a - sign. The change in volume(__ V is + )

If the systems volume decreases (it compresses) then the work is done on the system and Work has a + sign. The change in volume(__V is _- )

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Work and volume changes

Work = force *distance Work = Force *Volume ___ Area Work= - Pressure x Change in Volume = - P V If the systems volume increases (it expands) then the work is

done by the system and Work has a - sign. The change in volume(__ V is + )

If the systems volume decreases (it compresses) then the work is done on the system and Work has a + sign. The change in volume(__V is _- )

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Work and volume changes

Work = force *distance Work = Force *Volume ___ Area Work= - Pressure x Change in Volume = - P V If the systems volume increases (it expands) then the work is

done by the system and Work has a - sign. The change in volume(__ V is + )

If the systems volume decreases (it compresses) then the work is done on the system and Work has a + sign. The change in volume(__V is _- )

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Work and volume changes

Work = force *distance Work = Force *Volume ___ Area Work= - Pressure x Change in Volume = - P V If the systems volume increases (it expands) then the work is

done by the system and Work has a - sign. The change in volume(__ V is + )

If the systems volume decreases (it compresses) then the work is done on the system and Work has a + sign. The change in volume(__V is _- )

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Work and volume changes

Work = force *distance Work = Force *Volume ___ Area Work= - Pressure x Change in Volume = - P V If the systems volume increases (it expands) then the work is

done by the system and Work has a - sign. The change in volume(__ V is + )

If the systems volume decreases (it compresses) then the work is done on the system and Work has a + sign. The change in volume(__V is _- )

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Work and volume changes

Work = force *distance Work = Force *Volume ___ Area Work= - Pressure x Change in Volume = - P V If the systems volume increases (it expands) then the work is

done by the system and Work has a - sign. The change in volume(__ V is + )

If the systems volume decreases (it compresses) then the work is done on the system and Work has a + sign. The change in volume(__V is _- )

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Work and volume changes

Work = force *distance Work = Force *Volume ___ Area Work= - Pressure x Change in Volume = - P V If the systems volume increases (it expands) then the work is

done by the system and Work has a - sign. The change in volume(__ V is + )

If the systems volume decreases (it compresses) then the work is done on the system and Work has a + sign. The change in volume(__V is _- )

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Work and volume changes

Work = force *distance Work = Force *Volume ___ Area Work= - Pressure x Change in Volume = - P V If the systems volume increases (it expands) then the work is

done by the system and Work has a - sign. The change in volume(__ V is + )

If the systems volume decreases (it compresses) then the work is done on the system and Work has a + sign. The change in volume(__V is _- )

Page 110: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Work and volume changes

Work = force *distance Work = Force *Volume ___ Area Work= - Pressure x Change in Volume = - P V If the systems volume increases (it expands) then the work is

done by the system and Work has a - sign. The change in volume(__ V is + )

If the systems volume decreases (it compresses) then the work is done on the system and Work has a + sign. The change in volume(__V is _- )

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Work and volume changes

Work = force *distance Work = Force *Volume ___ Area Work= - Pressure x Change in Volume = - P V If the systems volume increases (it expands) then the work is

done by the system and Work has a - sign. The change in volume(__ V is + )

If the systems volume decreases (it compresses) then the work is done on the system and Work has a + sign. The change in volume(__V is _- )

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Work and volume changes

Work = force *distance Work = Force *Volume ___ Area Work= - Pressure x Change in Volume = - P V If the systems volume increases (it expands) then the work is

done by the system and Work has a - sign. The change in volume(__ V is + )

If the systems volume decreases (it compresses) then the work is done on the system and Work has a + sign. The change in volume(__V is _- )

Page 113: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Work and volume changes

Work = force *distance Work = Force *Volume ___ Area Work= - Pressure x Change in Volume = - P V If the systems volume increases (it expands) then the work is

done by the system and Work has a - sign. The change in volume(__ V is + )

If the systems volume decreases (it compresses) then the work is done on the system and Work has a + sign. The change in volume(__V is _- )

Page 114: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Work and volume changes

Work = force *distance Work = Force *Volume ___ Area Work= - Pressure x Change in Volume = - P V If the systems volume increases (it expands) then the work is

done by the system and Work has a - sign. The change in volume(__ V is + )

If the systems volume decreases (it compresses) then the work is done on the system and Work has a + sign. The change in volume(__V is _- )

Page 115: Thermal Expansion  L =  L o  T  L = change in_______  = coefficient of _______expansion L o = original ________  T = change in o C or___.

Work and volume changes

Work = force *distance Work = Force *Volume ___ Area Work= - Pressure x Change in Volume = - P V If the systems volume increases (it expands) then the work is

done by the system and Work has a - sign. The change in volume(__ V is + )

If the systems volume decreases (it compresses) then the work is done on the system and Work has a + sign. The change in volume(__V is _- )

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2nd Law of Thermodynamics

The 1st law of thermodynamics states that ________ is conserved.

Many processes which could obey the 1st law of thermodynamics do not occur ________________.

The second law of thermodynamics is a statement of which processes_______ in nature and which ________.

The second law of thermodynamics - the total ______of a system plus that of the environment _________ as the result of any natural process.

Natural processes tend to move toward a state of ________.

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2nd Law of Thermodynamics

The 1st law of thermodynamics states that energy is conserved. Many processes which could obey the 1st law of

thermodynamics do not occur _spontaneously _. The second law of thermodynamics is a statement of which

processes occur in nature and which do not. The second law of thermodynamics - the total entropy of a

system plus that of the environment increases_ as the result of any natural process.

Natural processes tend to move toward a state of disorder / choas/entropy________.

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2nd Law of Thermodynamics

The 1st law of thermodynamics states that energy is conserved. Many processes which could obey the 1st law of

thermodynamics do not occur _spontaneously _. The second law of thermodynamics is a statement of which

processes occur in nature and which do not. The second law of thermodynamics - the total entropy of a

system plus that of the environment increases_ as the result of any natural process.

Natural processes tend to move toward a state of disorder / choas/entropy________.

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2nd Law of Thermodynamics

The 1st law of thermodynamics states that energy is conserved. Many processes which could obey the 1st law of

thermodynamics do not occur _spontaneously _. The second law of thermodynamics is a statement of which

processes occur in nature and which do not. The second law of thermodynamics - the total entropy of a

system plus that of the environment increases_ as the result of any natural process.

Natural processes tend to move toward a state of disorder / choas/entropy________.

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2nd Law of Thermodynamics

The 1st law of thermodynamics states that energy is conserved. Many processes which could obey the 1st law of

thermodynamics do not occur _spontaneously _. The second law of thermodynamics is a statement of which

processes occur in nature and which do not. The second law of thermodynamics - the total entropy of a

system plus that of the environment increases_ as the result of any natural process.

Natural processes tend to move toward a state of disorder / choas/entropy________.

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2nd Law of Thermodynamics

The 1st law of thermodynamics states that energy is conserved. Many processes which could obey the 1st law of

thermodynamics do not occur _spontaneously _. The second law of thermodynamics is a statement of which

processes occur in nature and which do not. The second law of thermodynamics - the total entropy of a

system plus that of the environment increases_ as the result of any natural process.

Natural processes tend to move toward a state of disorder / choas/entropy________.

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2nd Law of Thermodynamics

The 1st law of thermodynamics states that energy is conserved. Many processes which could obey the 1st law of

thermodynamics do not occur _spontaneously _. The second law of thermodynamics is a statement of which

processes occur in nature and which do not. The second law of thermodynamics - the total entropy of a

system plus that of the environment increases_ as the result of any natural process.

Natural processes tend to move toward a state of disorder / choas/entropy________.

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2nd Law of Thermodynamics

The 1st law of thermodynamics states that energy is conserved. Many processes which could obey the 1st law of

thermodynamics do not occur _spontaneously _. The second law of thermodynamics is a statement of which

processes occur in nature and which do not. The second law of thermodynamics - the total entropy of a

system plus that of the environment increases_ as the result of any natural process.

Natural processes tend to move toward a state of disorder / choas/entropy________.

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2nd Law of Thermodynamics

Heat Engines- Devices designed to obtain ______ energy from __________ enegy

1700’s ________ Engine TH

TL

QH

Q L

W QH =

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2nd Law of Thermodynamics

Heat Engines- Devices designed to obtain mechanical energy from thermal enegy

1700’s Steam Engine TH temperature of high temperature reservoir

TL temperature of low temperature reservoir

QH heat released by high temperature reservoir

Q Lheat absorbed by high temperature reservoir

W = work output QH = heat input

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2nd Law of Thermodynamics

Heat Engines- Devices designed to obtain mechanical energy from thermal enegy

1700’s Steam Engine TH temperature of high temperature reservoir

TL temperature of low temperature reservoir

QH heat released by high temperature reservoir

Q Lheat absorbed by high temperature reservoir

W = work output QH = heat input

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2nd Law of Thermodynamics

Heat Engines- Devices designed to obtain mechanical energy from thermal enegy

1700’s Steam Engine TH temperature of high temperature reservoir

TL temperature of low temperature reservoir

QH heat released by high temperature reservoir

Q Lheat absorbed by high temperature reservoir

W = work output QH = heat input

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2nd Law of Thermodynamics

Heat Engines- Devices designed to obtain mechanical energy from thermal enegy

1700’s Steam Engine TH temperature of high temperature reservoir

TL temperature of low temperature reservoir

QH heat released by high temperature reservoir

Q Lheat absorbed by high temperature reservoir

W = work output QH = heat input

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2nd Law of Thermodynamics

Heat Engines- Devices designed to obtain mechanical energy from thermal enegy

1700’s Steam Engine TH temperature of high temperature reservoir

TL temperature of low temperature reservoir

QH heat released by high temperature reservoir

Q Lheat absorbed by high temperature reservoir

W = work output QH = heat input

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2nd Law of Thermodynamics

Heat Engines- Devices designed to obtain mechanical energy from thermal enegy

1700’s Steam Engine TH temperature of high temperature reservoir

TL temperature of low temperature reservoir

QH heat released by high temperature reservoir

Q Lheat absorbed by high temperature reservoir

W = work output QH = heat input

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2nd Law of Thermodynamics

Heat Engines- Devices designed to obtain mechanical energy from thermal enegy

1700’s Steam Engine TH temperature of high temperature reservoir

TL temperature of low temperature reservoir

QH heat released by high temperature reservoir

Q Lheat absorbed by high temperature reservoir

W = work output QH = heat input

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2nd Law of Thermodynamics

Heat Engines- Devices designed to obtain mechanical energy from thermal enegy

1700’s Steam Engine TH temperature of high temperature reservoir

TL temperature of low temperature reservoir

QH heat released by high temperature reservoir

Q Lheat absorbed by high temperature reservoir

W = work output QH = heat input

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2nd Law of Thermodynamics

Efficiency e= e= e=

Ideal carnot efficiency

e ideal =

No device is possible whose sole effect is to transform a given amount of heat completely into _______

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2nd Law of Thermodynamics

Efficiency e= W/QH

e=QH-QL/QH

e= 1-Ql/QH

Ideal carnot efficiency

e ideal = TH - TL / TH

No device is possible whose sole effect is to transform a given amount of heat completely into work

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2nd Law of Thermodynamics

Efficiency e= W/QH

e=QH-QL/QH

e= 1-Ql/QH

Ideal carnot efficiency

e ideal = TH - TL / TH

No device is possible whose sole effect is to transform a given amount of heat completely into work

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2nd Law of Thermodynamics

Efficiency e= W/QH

e=QH-QL/QH

e= 1-Ql/QH

Ideal carnot efficiency

e ideal = TH - TL / TH

No device is possible whose sole effect is to transform a given amount of heat completely into work

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2nd Law of Thermodynamics

Efficiency e= W/QH

e=QH-QL/QH

e= 1-Ql/QH

Ideal carnot efficiency

e ideal = TH - TL / TH

No device is possible whose sole effect is to transform a given amount of heat completely into work

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2nd Law of Thermodynamics

Efficiency e= W/QH

e=QH-QL/QH

e= 1-Ql/QH

Ideal carnot efficiency

e ideal = TH - TL / TH

No device is possible whose sole effect is to transform a given amount of heat completely into work

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2nd Law of Thermodynamics

Efficiency e= W/QH

e=QH-QL/QH

e= 1-Ql/QH

Ideal carnot efficiency

e ideal = TH - TL / TH

No device is possible whose sole effect is to transform a given amount of heat completely into work

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2nd Law of Thermodynamics

Efficiency e= W/QH

e=QH-QL/QH

e= 1-Ql/QH

Ideal carnot efficiency

e ideal = TH - TL / TH

No device is possible whose sole effect is to transform a given amount of heat completely into work

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2nd Law of Thermodynamics

Efficiency e= W/QH

e=QH-QL/QH

e= 1-Ql/QH

Ideal carnot efficiency

e ideal = TH - TL / TH

No device is possible whose sole effect is to transform a given amount of heat completely into work

The greater the difference in temperature the greater the ideal efficiency

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Carnot Cycle Isothermal expansion U = O W = neg Q = pos(absorbing heat)

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Carnot Cycle Adiabiatic expansion U = - W = neg Q = 0

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Carnot Cycle Isothermal compression U = O W = + Q = neg (releases heat)

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Carnot Cycle Adiabatic compression U = + W = positive Q = 0

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Heat

Heat flows from a sample with a high temperature to one with a lower

temperature

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Heat Measurements

calorie = the amount of _______ necessary to raise the ________ of ___gram of a water ____ degree celsius

____ cal = 1 ____ = 1 kcal James Prescott Joule-Mechanical Equivalent

of heat-Experiment 1 cal = ________ joules

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Heat Measurements

calorie = the amount of energy necessary to raise the temperature of 1 gram of a water

1 degree celsius 1000cal = 1 kcal James Prescott Joule-Mechanical Equivalent

of heat-Experiment 1 cal =4.18 joules

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Heat Definition/Formula

Heat is the energy that is ____________ from one body to another because of a difference in ______________

Q =

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Heat Definition/Formula

Heat is the energy that is transferred from one body to another because of a difference in temperature

Q = mc t

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Temperature Definition/Formula

A measure of the average ______energy of matter

Formula: K.E. =______

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Temperature Definition/Formula

A measure of the average kinetic energy of matter

Formula: K.E. = 3/2 kBT

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Rate of heat transfer

Formula Q / t = k A ( T1-T2) / l

Q= t = k= A= T1 - T2= l = Can be used to determine the rate of heat transfer across a

__________

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Rate of heat transfer

Formula Q/t = K A (T) l

Q= heat transfer in joules t = time heat transferred k= coefficient of heat transfer A= Area of material T1 - T2= temperature difference between sides l = thickness of material Can be used to determine the rate of heat transfer across a window

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Internal Energy-Thermal Energy

The sum of the _________ energy of ___the molecules in a sample

Formula: U=____________ U = Internal energy______ N = __________of particles T =___________

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Internal Energy-Thermal Energy

The sum of the kinetic energy of all the molecules in a sample

Formula: U=N 3/2 KBT U = Internal energy change N = number of particles T = temperature

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1st Law of Thermodynamicschapter 15

Thermodynamics is the study of the ____________ in which energy is transferred as ______ and as _______

Heat is the energy transferred due to a difference in _____________

Work is the energy transferred that is not due to a _____________ difference.

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1st Law of Thermodynamicschapter 15

Thermodynamics is the study of the Processes in which energy is transferred as

heat and as work. Heat is the energy transferred due to a

difference in temperature Work is the energy transferred that is not due

to a temperature difference.

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1st Law of Thermodynamicschapter 15

Closed system- an object or set of objects for which no __________ enters or leaves. Energy can be __________ with the environment.

Isolated Closed system - an object or set of objects which no __________ enters or leaves and no _____________ is _______

Open system - _______ and ________ may enter or leave.

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1st Law of Thermodynamicschapter 15

Closed system- an object or set of objects for which no matter enters or leaves. Energy can be exchanged with the environment.

Isolated Closed system - an object or set of objects which no matter enters or leaves and no energy is

transferred Open system – matter and energy may

enter or leave.