The Kinetic Theory of Gases Temperature as a measure of average kinetic energy of the particles.
Temperature measures the average kinetic energy of
description
Transcript of Temperature measures the average kinetic energy of
1
Temperature measures the average kinetic energy of
the molecules. Heat measures the average kinetic energyAnd incorporates mass.
2
HEAT AND TEMPERATURE
3
Heat versus temperature
Temperature A measure of hotness
or coldness of an object Based on average
molecular kinetic energy
Heat Based on total internal
energy of molecules Doubling amount at
same temperature doubles heat
4
How do we measure temperature?
Think about using a thermometer…..
How does the thermometer know how hot the substance is?
The molecules of the substance bump into the thermometer and transfer energy. How often and how hard they bump into the thermometer are directly related to their speed. Temperature turns out to be related to the average speed of the molecules in a substance
Temperature is not a measure of the total amount of energy in an object.
5
SI
jouleUSCS
Units of Energy
calorie
4.184 J = 1 cal
6
Units of Energy (heat energy)
1000 calories = 1 kilocalorie
1000 calories = 1 Calorie
Thermal Energy
Temperature & Heat
Temperature is related to the average kinetic energy of the particles in a substance.
SI unit for temp. is the Kelvin a. K = C + 273 (10C = 283K) b. C = K – 273 (10K = -263C)
Thermal Energy – the total of all the kinetic
and potential energy of all the particles in a
substance.
Thermal energy relationships
As temperature increases, so does thermal energy (because the kinetic energy of the particles increased).
Even if the temperature doesn’t change, the thermal energy in a
more massive substance is higher (because it is a total measure of
energy).
Heat The flow of
thermal energy from one object
to another. Heat always
flows from warmer to cooler objects. Ice gets
warmer while hand gets
cooler
Cup gets cooler while hand gets
warmer
Why does water have such a high specific heat?
Water molecules form strong bonds with each other; therefore it takes more heat
energy to break them. Metals have weak bonds and do not need as much energy
to break them.
water metal
Specific Heat
a. Some things heat up or cool down faster than others.
Land heats up and cools down faster than water
b. Specific heat is the amount of heat required to raise the temperature of 1 kg
of a material by one degree (C or K).
1) C water = 4.184 J / g C
2) C sand = 0.664 J /g C
This is why land heats up quickly during the day and cools quickly at night and why water takes longer.
How to calculate changes in thermal energy
Q = m x T x CpQ = change in thermal energy – must be in joules
– can be positive (+) or negative (-)m = mass of substance – must be in grams (g)
T = change in temperature (Tf – Ti) - (Kelvin) or (Celsius)
Cp = specific heat of substance (J/g • ˚C) or (J/g• K)
15
HEAT FLOW PROBLEMSA 4.0 g sample of glass was heated from 274 to 314 K . And was found to have absorbed 32 J of energy as heat. What is the specific heat of glass?
lecturePLUS Timberlake 16
Density
Density compares the mass of an object to its volume
D = mass = g or g volume mL cm3
Note: 1 mL = 1 cm3
Gold is very dense - it feels very heavy for its size.
D = 19.3g/cm3
Each substance has its own density. A larger amount will still have the same density because it will be an equivalent fraction.
Metal Density
Gold 19.3
Silver 10.5
Platinum 21.4
Palladium 12.0
Copper 9.0
9ct 10.9 to 12.7
14ct 12.9 to 14.6
18ct Yellow 15.2 to 15.9
18ct White 14.7 to 16.9
22ct 17.7 to 17.8
Sterling Silver 10.2 to 10.3
950 Platinum 20.1
If you pack more mass into the same volume, it is more dense.
Draw a picture on your handout that represents this principle.
If you pack the SAME mass into a SMALLER volume, it is MORE dense
Draw a picture on your handout that represents this principle.
Just because something has more mass DOES NOT mean it is more DENSE.
You can make something have less dense by increasing the volume until it is more than the mass.
Principle 4
RULE
Anything with a density less than one will float in water. If there are numbers to the left of the decimal it will sink!
So why do ships float ?The density of steel is 7.8 g/cm3
The density of waters 1 g/cm3
Think of a steel ship as a can that is empty and watertight. The majority of its space is taken up by nothing more than air which has a specific gravity of about 0.00129. So if a make a ship that is like a can,
empty inside and watertight it floats. Its volume sufficient that it causes its specific gravity to remain below 1.0 even after adding the weight of
its contents. The steel ship will remain afloat as long as its density remains
below that of water. The problem is that if water is allowed to enter the ship it would sink. Ships made of steel have to be sealed so water can
not get in and increase its density. Steel can float only because of the way it is shaped, the space
it takes up, and the seal that keeps its watertight. The ability of steel to float is the ability of people to shape metal and solve problems by
examining outcomes.
lecturePLUS Timberlake 25
Learning Check D1
Osmium is a very dense metal. What is its density in g/cm3 if 50.00 g of the metal occupiesa volume of 2.22cm3?
lecturePLUS Timberlake 26
Volume Displacement
A solid displaces a matching volume of water when the solid is placed in water.
33 mL25 mL
lecturePLUS Timberlake 27
Learning Check
What is the density (g/cm3) of 48 g of a metal if the metal raises the level of water in a graduated cylinder from 25 mL to 33 mL? 1) 0.2 g/ cm3 2) 6 g/m3 3) 252 g/cm3
33 mL 25 mL
lecturePLUS Timberlake 28
Solution
2) 6 g/cm3
Volume (mL) of water displaced = 33 mL - 25 mL = 8 mL
Volume of metal (cm3) = 8 mL x 1 cm3 = 8 cm3
1 mLDensity of metal =
mass = 48 g = 6 g/cm3
volume 8 cm3
lecturePLUS Timberlake 29
Density as Conversion Factors
A substance has a density of 3.8 g/mL.
Density = 3.8 g/mL
Equality 3.8 g = 1 mL
Conversion factors.
3.8 g and 1 mL 1 mL 3.8 g
lecturePLUS Timberlake 30THINGS TO REMEMBERThe density of water is 1.00 g/ml at 0˚ C
Has an object heats up it becomes less dense.
31
GRAPHS
1. When two quantities are directly proportional to each other, if dividing by the other gives a constant value.
Example K = Y / X 2. Students will graph speed vs distance. The time is constant.
32
10 mi/hr 20 mi/hr 30 mi/hr 40 mi/hr 50mi/hr 60 mi/hr 70 mi/hr
Speed Distance
Calculate the distance if the time remains constant at ( 2 hours)
Speed = Distance / Time
33
Graph speed verses time. The distance will remain constant at 200 miles.
speed = distance / time
10 mi/hr20 mi/ hr30 mi/hr40 mi/hr50 mi/hr60/ mi/hr70 mi/hr
speed time
34
Mass and volume are related directly.
35
Volume and pressure are related indirectly.
Graph of an indirect relationship
36
Exponential RelationshipsOne variable goes up slowly and the other very quickly.
37
Which swimmer is faster (red, green or blue)?What happened to the green swimmer between 10 and 20 seconds?