Following statements are given (1) The average kinetic energy of a gas molecule decreases when the temperature is reduced. (2) The average kinetic energy of a gas molecule increases with increase in p

Question

Following statements are given
(1) The average kinetic energy of a gas molecule decreases when the temperature is reduced.
(2) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature.
(3) The average kinetic energy of a gas molecule decreases with increases in volume.
(4) Pressure of a gas increases with increase in temperature at constant volume.
(5) The volume of gas decreases with increase in temperature.

Choose the correct answer from the options given below :

TestHub · Accepted Answer

Average kinetic energy of a gas molecule is given by ${KE}_{avg} = \frac{3}{2} K T$ .
Pressure of a gas in terms of rms speed is given by $P = \frac{1}{3} ρ v_{rms}^{2}$ .
As $K E_{a v g} \propto T$ , so $(1)$ is correct, $(2)$ is incorrect, statement $(3)$ can not be said.
Note : Statement (4) is correct only if we consider it at constant volume and not constant pressure. Ideally, this question must be bonus but most appropriate answer is option (A)

Physics - Heat & Thermo Question with Solution | TestHub

Options:

Doubts & Discussion