mol L atm

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Announcements
1. Kev, I need those summaries of lab topics by 5PM
today
2. Finish Chapter 12
3. Kinetics and calculus is next
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.
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.
Cgas = kH Pgas
Molarity of the
dissolved gas
in solution.
a constant (mol/
L•atm) that
depends only
on T, substance and
the solvent.
P is the partial
vapor pressure of
the gas above
the solution.
✴ 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.
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.
Solubility (mg gas/100 g H2O)
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)
The solubility of gases in water are essential to all
aquatic life and scuba diving (why?).
Henry Law
Constants at 25˚C
Gas
kH
(Mol/L atm)
N2
6.4 X 10-4
O2
1.3 X 10-3
CO2
3.3 X 10-2
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).
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).
Cgas = kH Pgas
CO2 = 1.3 × 10
−3
mol O2
× 0.21 atm = 2.7 × 10−4 M
L atm
Now convert Molarity to ppm. Recall ppm means in this case mg/L.
ppm O2 = 2.73 × 10−4
mol O2
31.98 g O2
103 mg
×
×
= 8.7 ppm
L
1 mol O2
1g
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
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
C
= kH PCO2
CO2
CCO2 = 3.3 × 10
−2
mol
mol
× 4 atm = 0.1
L atm
L
0.1 mol CO2
44.01 CO2
103 mg
×
×
= 4401 ppm = 4000 ppm
ppm CO2 =
L
1 mol CO2
1g
CCO2 = 3.3 × 10
−2
mol
−5 mol
× 0.00033 atm = 1.1 × 10
L atm
L
1.1 × 10−5 mol CO2
44.01 CO2
103 mg
×
×
= .48 ppm
ppm CO2 =
L
1 mol CO2
1g
Chemists use different definitions to quantify the
concentration of solutes in solutions.
Molarity (M) =
Molality (m) =
% by mass =
=
moles solute
liters solution
moles solute
kg solvent
changes with temperature
does not change with temp
mass solute
x 100%
mass of solute + mass of solvent
mass of solute
x 100%
mass of solution
volume of solute
x 100%
% by volume =
volume of solute + volume of solvent
volume of solute
=
volume of solution
x 100%
More Concentration Units
Mass/Volume % =
mass of solute x 100%
volume of solution
moles of A
Mole Fraction (XA) =
sum of moles of all components
moles of A
x 100%
Mole % (XA) =
sum of moles of all components
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)?
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
M =
mass of solvent (kg)
moles of solute
liters of solution
Assume 1 L of ethanol (it can be any volume):
5.86 moles ethanol = 270 g ethanol
927 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
•
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?
•
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
Very low solute concentrations in many fields use
“parts per million--ppm” and “parts per billion-ppb” typically by weight but not always.
ppm = 1 gram solute in 106 grams of solution = 1 µg/g
ppb = 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/L
1 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
ASample
0.750 M solution
of H2SO4 in water has a density
Problem
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) ?
ASample
0.750 M solution
of H2SO4 in water has a density
Problem
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) ?
(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 kg
0.972 kg H2O = 972 g × 1 mol/18.0 g = 54.0 mol H2O
For 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
Sample
Problem
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) ?
(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
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