A rigid diatomic gas having molar mass m is contained in an insulated container. The container is moving with velocity V. If it is stopped suddenly, the change in temperature is (R - gas constant)

Step-by-step solution

Let n be the number of moles of the gas. The total mass of the gas is nm . The initial kinetic energy of the gas due to the motion of the container is K = 1 2 (nm)V^2 . When the container is suddenly stopped, this kinetic energy is completely converted into the internal energy of the gas because the container is insulated. The change in internal energy is given by U = nC_v T . For a rigid diatomic gas, the molar heat capacity at constant volume is C_v = 5 2 R . Equating the kinetic energy to the change in internal