Mean kinetic energy of a perfect gas is proportional to

Average kinetic energy of a gas is inversely proportional to the absolute temperature.

Prove that the average kinetic energy of a molecule is proportional to the absolute temperature of the gas.

Assertion : The root mean square velocity of an ideal gas at constant pressure varies with density as 1//sqrtd . Reason : Average kinetic energy of a gas is directly proportional to the absolute temperature.

Mean kinetic energy of a perfect gas per gram at the temperature T K is

Mean kinetic energy of a perfect gas per gram at the temperature T^@K is

Prove that kinetic energy of gas is proportional to absolute temperature.