Question

A gas cylinder contains 370 g oxygen gas at 30 atm pressure and 25°C. What mass of oxygen would escape if first the cylinder were heated to 75°C and then the valve were held open until gas pressure was 1 atm, the temperature being maintained at 75°C?

Answer 1

V1 = V2 cuz since you are using a gas cylinder, which is a rigid container, the volume won't change 
n1 = 370 g x 1mole / 32.0 g = 11.56 g 
T1 = 25 C = 298 K 
P1 = 30.0 atm 
n2 = ? 
T2 = 75 C = 348 K 
P2 = 1.00 atm 
R = 0.0821 L x atm / k x mole 

First find the volume of the container using the Ideal Gas Law 

P1V1 = n1RT1 
V1 = n1RT1 / P1 
V1 = 11.56 mole x (0.0821 L x atm / k x mole) x 298k /30.0 atm 
V1 = 9.43L 

Now find the number of mole in enviroment 2: 
P2V2 = n2RT2 
n2 = P2V2 / RT2 
n2 = 1.00 atm x 9.43L / ( ( 0.0821 L x atm / k x mole) x 348k) 
n2 = 0.330 mole 

n escaped = n1 - n2 
n escaped = 11.56 mole - 0.330 mole 
n escaped = 11.23 mole 

g escaped = 11.23 mole x 32.0 g / 1 mole 
g escaped = 359g .

Answer 2

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