A 45 mL sample of nitrogen gas is cooled from 135ºC to 15°C in a container that can contract or expand at constant pressure, what is the new volume of the nitrogen gas?
A)64 mL
B)5.0 mL
C)410 mL
D)32 mL
E)41 mL

Question

Quizplus · Accepted Answer

The volume-temperature relationship for gases is given by the following formula:

V1/T1 = V2/T2

where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature, respectively.

Substituting the given values, we have:

V1 = 45 mL
T1 = 135ºC + 273 = 408 K
T2 = 15ºC + 273 = 288 K

Solving for V2, we get:

V2 = V1 x T2/T1
V2 = 45 mL x 288 K/408 K
V2 ≈ 32 mL

Therefore, the new volume of the nitrogen gas is approximately 32 mL, which corresponds to choice D.

A 45 ML Sample of Nitrogen Gas Is Cooled from 135ºC