An expandable plastic container contains 255 mL of nitrogen gas at 25°C and 688 torr. What is the volume of the container at 47°C and 489 torr?
A)385 mL
B)169 mL
C)195 mL
D)334 mL
E)341 mL

Question

Quizplus · Accepted Answer

We can use the combined gas law to solve this problem:

(P1V1/T1) = (P2V2/T2)

Where P1 = 688 torr, V1 = 255 mL, T1 = 25°C + 273 = 298 K and P2 = 489 torr, T2 = 47°C + 273 = 320 K. We can solve for V2:

V2 = (P1V1T2)/(P2T1) = (688 torr)(255 mL)(320 K)/(489 torr)(298 K) = 334 mL

Therefore, the volume of the container at 47°C and 489 torr is 334 mL, which corresponds to choice D.

An Expandable Plastic Container Contains 255 ML of Nitrogen Gas