1.

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.)

Answer»

O2 has 5 degrees of freedom. 

Therefore, energy per mole = (5/2)RT

∴ For 2 moles of O2, energy = 5RT

Neon has 3 degrees of freedom 

∴ Energy per mole = (3/2)RT

∴ For 4 mole of neon, energy = 4 x (3/2) RT = 6RT

∴ Total energy = 11RT.



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