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

Define kinetic energy?

The rate of diffusion of a gas is proportional to

According to kinetic theory of gases, at absolute zero of temperature:

The mean translation kinetic energy of a perfect gas molecule at temperature T is (k = Boltzmann constant)

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio C_P//C_V for the gas is

Using the equation of state PV = nRT, show that at given temperature density of gas is directly proportional to gas pressure.

Define absolute scale of temperature .