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 at constant pressure.
Choose the correct answer from the options given below :

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(1), (2) and (5) only

(1) and (4) only

(1), (2) and (4) only

(2) and (4) only

answer is A.

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Detailed Solution

$\begin{array}{l} {KE}_{avg} = \frac{3}{2} KT \\ P = \frac{1}{3} {ρV}_{rms}^{2} \end{array}$

So the kinetic energy will only depend on the temperature

So if temperature decreases the Kinetic energy will reduce, and if the temperature is constant the Kinetic energy will be constant.

At constant volume, pressure is directly proportional to temperature.

At constant pressure, volume is directly proportional to temperature

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