University College - Chemistry Chem 112A Lecture Notes - Lecture 38: Partial Pressure, Glossary Of Ancient Roman Religion

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22 April 2016
Lecture 38: Raoult’s Law
Equation of the Day: Ptotal =

+

I. Raoult’s Law
A. Basics
1. If we have two liquids A and B in a container:
a. The pure vapor pressure of pure A =
b. The mole fraction of A in the liquid =

c. PA in the container =

d. PB in the container =

2. The total pressure = PA + PB
a. Raoult’s Law: Ptotal =

+

3. Example: 50 g H2O and 50 g ETOH at 298K
a. Using molar masses, we get 1.085 mol ETOH and 2.775 mol H20
b. 
 (1.085)/(1.085 + 2.775) = 0.281
c. 
 0.719
d. 
 
 = 0.0780 atm
We get ∆G0vap from ∆Gf(gas) - ∆Gf(liquid)
e. 
= 0.0312 atm
f. Ptot = 
 
+
 
= 0.0443 atm
B. Applying Dalton’s Law
1. For a mixture of gases, A and B, exerting a total pressure of Ptotal, the partial pressure due to a
(PA) is the

and the partial pressure due to B (PB) is

a. From this, we can get the 
 =PA/Ptotal = 0.494 and 
 =PB/Ptotal = 0.506
b. Notice, that due to vapor pressure, ethanol is enriched in the vapor phase
2. Plotting Vapor Pressure vs.

a. For 
  
 for this example
b. The
  

(where 
is the slope)
c. The

  
 
 
d. The Ptotal = (
 

  
C. Non-Ideal Behavior
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