A sample of nitrogen gas had a volume of 500.mL,a pressure in its closed container of 740 torr,and a temperature of 25 °C.What was the new volume of the gas when the temperature was changed to 50 °C and the new pressure was 760 torr?
A)530 mL
B)450 mL
C)970 mL
D)240 mL
E)400 mL

Question

Quizplus · Accepted Answer

Using the combined gas law:
(P1V1)/T1 = (P2V2)/T2
Where P1 = 740 torr, V1 = 500 mL, T1 = 25 °C + 273 = 298 K, P2 = 760 torr, T2 = 50 °C + 273 = 323 K.
Solving for V2:
V2 = (P1V1T2)/(P2T1) = (740 torr × 500 mL × 323 K)/(760 torr × 298 K) ≈ 530 mL

A Sample of Nitrogen Gas Had a Volume of 500