A gas mixture consists of 2.0 moles of oxygen and 4.0 moles of neon a temperature T. Neglecting all vibrational modes, calculate the total internal energy of the system. (Oxygen has two rotational modes.)
To find total energy of a given molecule of a gas we must find its degree of freedom. In molecule of oxygen it has 2 atom. so, it has degree of freedom 3T+2R=5, so total internal energy =5/2RT per mole as gas O2 is 2 mole. So total energy of 2 mole oxygen =22×5RT=5RT Neon gas is mono atomic so its degree of freedom is only 3 hence total internal energy =3/2RT per mole So, total internal energy of 4 mole Ne=24×3RT=6RT Total internal energy of 2 mole oxygen and 4 mole Ne=5RT=6RT=11RT