Q18 of 31 Page 94

A gas mixture consists of 2.0 moles of oxygen and 4.0 moles of neon at temperature T. Neglecting all vibrational modes, calculate the total internal energy of the system. (Oxygen has two rotational modes.)

Given:


2 moles of oxygen and 4 moles of neon at temperature T


We know that,


Energy of n moles of gas having degree of freedom f at a temperature T is



Where R=universal gas constant


Now,


As oxygen is a diatomic gas, it has 5 degree of freedom (3 translational and 2 rotational) and 2 moles




Similarly, neon is a monoatomic gas having 3 degree of freedom(translational) and 4 moles




Total energy




Therefore, total energy of the system is 11RT


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