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  4. A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature T. Assuming the gases to be ideal and the oxygen bond to be rigid, the total internal energy (in units of RT ) of the mixture is:

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Q. A gas mixture consists of 3 moles of oxygen and 5 moles of argon at temperature $T$. Assuming the gases to be ideal and the oxygen bond to be rigid, the total internal energy (in units of $RT$ ) of the mixture is:

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Solution:

$u =\frac{ f _{1} n _{1} RT }{2}+\frac{ f _{2} n _{2} RT }{2}$
$u =\frac{5}{2} \times 3 RT +\frac{3 \times 5 RT }{2}=15 RT$