Gas Review Problem #9

9)  Suppose you have a 1.00 dm3 container of oxygen gas at 202.6 kPa and a 2.00 dm3 container of nitrogen gas at 101.3 kPa.  If you transfer the oxygen to the container holding the nitrogen,

a)  what pressure would the nitrogen exert?

b)  what would be the total pressure exerted by the mixture?

Write given information:

 

Px

Vx

Vz

Px,z

O2

 202.6 kPa 1 dm3 2 dm3 101.3 kPa

N2

 101.3 kPa 2 dm3 2 dm3 101.3 kPa

O2  +  N2

     2 dm3

202.6 kPa

 

Part A:  The nitrogen gas would exert the same pressure (its partial pressure) independently of other gases present

Write equation:       

Pressure exerted by the nitrogen gas = 101.3 kPa

Part B:  Use Dalton's Law of Partial Pressures to solve for the pressure exerted by the mixture. 

Write equation:        

Substitute into equation: 

Solve for PTotal =  202.6 kPa