A gas mixture consists of 2 moles of oxygen and 4 moles of argon at temperature T . Neglecting all v

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12.Kinetic Theory of Gases

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A gas mixture consists of $2$ moles of oxygen and $4$ moles of argon at temperature $T$. Neglecting all vibrational modes, the total internal energy of the system is

A

$4\, RT$

B

$15\, RT$

C

$9\, RT$

D

$11\, RT$

Solution

$\mathrm{U}=\mathrm{U}_{1}+\mathrm{U}_{2}$

$=\mu_{1} C_{v_{1}} T+\mu_{2} C_{v_{2}} T=2 \times \frac{5}{2} R T+4 \times \frac{3}{2} R T$

$=5 \mathrm{RT}+6 \mathrm{RT}=11 \mathrm{RT}$

Standard 11

Physics

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