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

1/2m v

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

K= 1/2N m v

Then the temperature is;

T= 2/3 K/N k

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.

K.E = 3/2 k

_{B}T1/2m v

_{rms}^{2}= 3/2 k_{B }TIf gas contains N number of molecules, then the kinetic energy of N molecules is;

K= 1/2N m v

_{rms}^{2}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.