A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

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Solution

Q.
A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T. Neglecting all vibrational modes, the total internal energy of the system is [2024]

1 29RT

2 20RT

3 27RT

4 21RT

Ans.
(3)

$U = n C_{V} T$

$\Rightarrow U = n_{1} C_{V_{1}}$ $T + n_{2} C_{V_{2}} T$

$\Rightarrow 8 \times \frac{3 R}{2} \times T + 6 \times \frac{5 R}{2} \times T = 27 R T$

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