An ideal gas is sealed in a rigid container so that its volume remains constant and…
PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics
Problem
An ideal gas is sealed in a rigid container so that its volume remains constant and no gas escapes or is added. The absolute temperature of the gas is increasing at a non-zero rate. Which of the following statements correctly describes the instantaneous rate of change of the gas’s pressure?
(a) The pressure is decreasing because, with constant volume, pressure varies inversely with temperature.
(b) The pressure is increasing at the same numerical rate as the temperature, since with constant volume P equals T.
(c) The pressure is increasing because, with constant volume and amount of gas, pressure is directly proportional to temperature.
(d) The pressure is not changing because the amount of gas and the volume are both constant.