Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L...

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1. Kev, I need those summaries of lab topics by 5PM today 2. Finish Chapter 12 3. Kinetics and calculus is next Announcements

Transcript of Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L...

Page 1: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

1. Kev, I need those summaries of lab topics by 5PM today

2. Finish Chapter 12

3. Kinetics and calculus is next

Announcements

Page 2: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

Disinfectant-insecticide: Synthesis of similar chemicals used in both household pesticides/ disinfectants, synthesis of organic insecticides using "safe" household ingredients such as peppers and orange oil etc. mixture of these products with common disinfectants such as isopropyl and ethyl alcohol, sodium hypochorite and hydogen peroxide with the possible addition of a fragrance.

Fortified and Low MSG Chicken/ Pork Breading Mix and Food Extender: Solubility, Extraction and Analysis of various components through instrumentation (i.e. Food flavorings, MSG, salt separation)

Gel-based Cheek Tint Using Sugar Beet Rootcrop/juice: extraction of pigment/production of the cheek tint using natural source-beets

Hair shine with washable dye: experiment on solubility, dissolution and intermoleculer forces

No-Iron On-the-Go Starch Spray: Were still waiting for your advice sir on what we could cxplore within the lab, but as of now, we could think about a few things only. Namely: how to go without the ironing process by giving the starch "heat" to press the clothing. Also, were trying to see how to use cornstarch as safe to clothing as possible.

Page 3: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

Henry’s law: Under conditions of constant temperature, the solubility of a gas (Cgas) in a liquid is directly proportional to the partial pressure of the gas over the solution.

Molarity of the dissolved gasin solution.

P is the partial vapor pressure of the gas above the solution.

a constant (mol/L•atm) that depends onlyon T, substance and the solvent.

Cgas = kH Pgas

✴ Temperature, pressure and the identity of the gas combine to determine the solubility of a gas.

✴ Pressure has no or little impact on the solubility of solids in liquids or liquids in solids.

Page 4: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H
Page 5: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

The solubility of a gas in a liquid depends on the nature of the gas, the temperature and nature of the solvent and the pressure above the solution.

Page 6: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

If we plot a gas’s solubility vs gas pressure over the solvent liquid we get a straight line. The slope is the the Henry Law constant for that gas.

Cgas = kH Pgas

y = m x

Gas pressure (atm)

Solu

bilit

y (m

g ga

s/10

0 g

H2O

)

Page 7: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

The solubility of gases in water are essential to all aquatic life and scuba diving (why?).

Gas kH

(Mol/L atm)

N2 6.4 X 10-4

O2 1.3 X 10-3

CO2 3.3 X 10-2

Henry Law Constants at 25˚C

Page 8: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

Given that the partial pressure of O2 in the atmosphere is 0.21 atm and the Henry constant @ 25˚C for O2 in water is 1.3 x 10-3 mol/L atm, determine the concentration of O2 in a fresh water stream in equilibrium with air at 25˚C and 1 atm. Express the answer in ppm (mg/L).

Page 9: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

Cgas = kH Pgas

Now convert Molarity to ppm. Recall ppm means in this case mg/L.

ppm O2 = 2.73! 10!4 mol O2

L! 31.98 g O2

1 mol O2! 103 mg

1 g= 8.7 ppm

CO2 = 1.3! 10!3 mol O2

L atm! 0.21 atm = 2.7! 10!4 M

Given that the partial pressure of O2 in the atmosphere is 0.21 atm and the Henry constant @ 25˚C for O2 in water is 1.3 x 10-3 mol/L atm, determine the concentration of O2 in a fresh water stream in equilibrium with air at 25˚C and 1 atm. Express the answer in ppm (mg/L).

Page 10: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

The partial vapor pressure of CO2 gas inside a bottle of liquid Coke is 4 atm at 25˚C. What is the solubility of CO2 at this pressure and also when the cap on the coke is removed in ppm? The Henry Law Constant k for CO2 in water is 3.3 X 10-2 mol/L atm at 25˚C, and the partial pressure of CO2 in the atmosphere is 0.00033

Page 11: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

The partial vapor pressure of CO2 gas inside a bottle of liquid Coke is 4 atm at 25˚C. What is the solubility of CO2 at this pressure and also when the cap on the coke is removed in ppm? The Henry Law Constant k for CO2 in water is 3.3 X 10-2 mol/L atm at 25˚C, and the partial pressure of CO2 in the atmosphere is 0.00033 CCO2 = kH PCO2

ppm CO2 =0.1 mol CO2

L! 44.01 CO2

1 mol CO2! 103 mg

1 g= 4401 ppm = 4000 ppm

ppm CO2 =1.1× 10!5 mol CO2

L× 44.01 CO2

1 mol CO2× 103 mg

1 g= .48 ppm

CCO2 = 3.3! 10!2 mol

L atm! 0.00033 atm = 1.1! 10!5 mol

L

CCO2 = 3.3! 10!2 mol

L atm! 4 atm = 0.1

mol

L

Page 12: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

Chemists use different definitions to quantify the concentration of solutes in solutions.

= moles soluteliters solution

Molarity (M)

Molality (m) = moles solutekg solvent

% by mass x 100%mass solutemass of solute + mass of solvent

= x 100%mass of solutemass of solution

% by volume = x 100%volume of solutevolume of solute + volume of solvent

x 100%volume of solute

volume of solution=

=

changes with temperature

does not change with temp

Page 13: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

More Concentration Units

Mole Fraction (XA) = moles of Asum of moles of all components

Mole % (XA) = moles of Asum of moles of all components

x 100%

x 100%mass of solutevolume of solution

Mass/Volume % =

Page 14: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

What is the molality of a 5.86 M ethanol (C2H5OH) solution whose density is 0.927 g/mL (MM eth = 46.1 g/mol)?

Page 15: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

What is the molality of a 5.86 M ethanol (C2H5OH) solution whose density is 0.927 g/mL (MM eth = 46.1 g/mol)?

m =moles of solute

mass of solvent (kg)M =

moles of solute

liters of solution

Assume 1 L of ethanol (it can be any volume):5.86 moles ethanol = 270 g ethanol927 g of solution (1000 mL x 0.927 g/mL)

mass of solvent = mass of solution – mass of solute= 927 g – 270 g = 657 g = 0.657 kg

m =moles of solute

mass of solvent (kg)=

5.86 moles C2H5OH

0.657 kg solvent= 8.92 m

Page 16: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

• The density of a 25.0 % w/w solution of sulfuric acid (H2SO4) in water is 1.1783 g/mL at 25.0ºC. What is the molarity of this solution?

Page 17: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

• The density of a 25.0 % w/w solution of sulfuric acid (H2SO4) in water is 1.1783 g/mL at 25.0ºC. What is the molarity of this solution?

• Convert 25 g H2SO4 into moles: 25.0 g H2SO4/100 g sol. × 1 mol H2SO4/98.1 g H2SO4 = 0.255 mol/100 g sol.• Volume = 100 g sol. × 1 mL/1.1783 g sol. = 84.87 mL = 0.08487 L• Molarity = moles H2SO4/liters of solution

= 0.255 mol H2SO4/0.08487 L = 3.00 M

Page 18: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

ppm = 1 gram solute in 106 grams of solution = 1 µg/gppb = 1 gram solute in 109 grams of solution = 1 ng/g

If the solvent is water we can use the density of water 1 g/ml as a conversion factor.

1 ppm = 1 gram in 106 ml of water = 1 mg/L1 ppb = 1 gram in 109 ml of water = 1 µg/L

Analogies would be: 1 minute in 2 years or 1 cent in $10,000

Very low solute concentrations in many fields use “parts per million--ppm” and “parts per billion--ppb” typically by weight but not always.

Page 19: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

Sample ProblemA 0.750 M solution of H2SO4 in water has a density of 1.046 g/mL at 20ºC. What is the concentration in (a) mole fraction, (b) mass percent, (c) molality (MM = 98.086 g/mol) ?

Page 20: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

Sample Problem

(a) Since the solution is 0.750 mol/L and has a density of 1.046 g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H2SO4 and has a mass of 1.046 kg:

Mass of H2O in 1 L solution = 1.046 kg – 0.0736 kg = 0.972 kg0.972 kg H2O = 972 g × 1 mol/18.0 g = 54.0 mol H2OFor H2SO4, X = 0.750 mol H2SO4/(0.750 mol H2SO4 + 54.0

mol H20) = 0.0137

A 0.750 M solution of H2SO4 in water has a density of 1.046 g/mL at 20ºC. What is the concentration in (a) mole fraction, (b) mass percent, (c) molality (MM = 98.086 g/mol) ?

Page 21: Chpt 12 Solutions - Applied Physical Chemistry | Just ... g/mL (or 1.046 kg/L) density, 1.0 L solution contains 0.750 mol (or 73.6 g) H 2SO 4 and has a mass of 1.046 kg: Mass of H

(b) Mass % H2SO4 = 0.0736 kg H2SO4/1.046 kg total = 7.04%

(c) Since 0.972 kg water has 0.750 mol H2SO4 in it, 1 kg water would have 0.772 mol H2SO4 dissolved in it:

1.00 kg H2O × 0.750 mol H2SO4/0.972 kg H2O = 0.772 mol H2SO4

Thus, molality of sulfuric acid is 0.772 m

Sample ProblemA 0.750 M solution of H2SO4 in water has a density of 1.046 g/mL at 20ºC. What is the concentration in (a) mole fraction, (b) mass percent, (c) molality (MM = 98.086 g/mol) ?