First slide

Law of equipartition of energy

Question

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)

Moderate

A

5 RT
B

6 RT
C

$\large \frac{{11RT}}{2}$
D

11 RT

Solution

$Use\,U\, = \,{n_1}C{v_1}T + {n_2}C{v_2}T$
$= \,2 \times \frac{5}{2}RT + 4 \times \frac{3}{2}RT\, = \,11RT$

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