A Sample Of Gas Is Contained In A Closed Rigid Cylinder. According To Kinetic Molecular Theory, What Occurs When The Gas Inside The Cylinder Is Heated?

According to the kinetic molecular theory of ideal gas, the relation between kinetic energy of molecules and temperature of gas is;

K.E = 3/2 k_B T

1/2m v_rms² = 3/2 k_B T

If gas contains N number of molecules, then the kinetic energy of N molecules is;

K= 1/2N m v_rms²

Then the temperature is;

T= 2/3 K/N k_B
Kinetic energy of the molecules is directly proportional to the temperature of the gas. When the temperature of the ideal gas increases, the molecular kinetic energy of the gas also increases.