A gas mixture consists of 2 moles of oxygen and 4 moles of neon at temperature T . Neglecting all vibrational modes, the total internal energy of the system will be:

Step-by-step solution

The internal energy of a gas is given by U = n C V T . A diatomic gas has 3 translational and 2 rotational degrees of freedom. A monoatomic gas has 3 translational degrees of freedom. Hence, the internal energy of the mixture = n 1 C V 1 T + n 2 C V 2 T = 2 × 5 R 2 T + 4 × 3 R 2 T = 5 R T + 6 R T = 11 R T