An ideal gas at 0 °C is contained within a rigid vessel.The temperature of the gas is increased by 1 C°.What is P_f/P_ᵢ,the ratio of the final to initial pressure?

Question

Quizplus · Accepted Answer

According to Charles' law, the volume of an ideal gas at a constant pressure is directly proportional to its temperature. Since the vessel is rigid, its volume cannot change. However, the pressure of the gas will increase as the temperature increases.

The ratio of the final to initial pressure is given by:

(Pf/Pi) = (Vf/Vi) x (Ti/Tf)

Since the volume is constant, Vf/Vi = 1

Ti = 0 + 273 = 273 K
Tf = 1 + 273 = 274 K

Therefore, (Pf/Pi) = 274/273, which is choice B.

An Ideal Gas at 0 °C Is Contained Within a Rigid