The volume of a sample of gas is 561.5 mL at STP. What volume will the sample occupy at 0.0°C and 950.0 torr?
A) 701.9 mL
B) 449.2 mL
C) 411.5 mL
D) 561.2 mL
E) none of these

Question

Quizplus · Accepted Answer

Using the combined gas law:

(P₁V₁)/T₁ = (P₂V₂)/T₂

Since the sample is at STP, we can set the initial conditions:

P₁ = 1 atm 
V₁ = 561.5 mL 
T₁ = 273.15 K

For the final conditions:

P₂ = 950.0 torr = 1.2477 atm 
V₂ = ? 
T₂ = 273.15 K

Now we can solve for V₂:

(1 atm * 561.5 mL) / 273.15 K = (1.2477 atm * V₂) / 273.15 K

V₂ = (1 atm * 561.5 mL * 273.15 K) / (1.2477 atm * 273.15 K)

V₂ = 449.2 mL

Therefore, the sample will occupy 449.2 mL at 0.0°C and 950.0 torr.

The Volume of a Sample of Gas Is 561