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Equipartition Theorem

One mole of a...

Question

One mole of a monoatomic ideal gas is mixed with one mole of a diatomic ideal gas. The molar specific heat of the mixture at constant volume is _______.

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Solution

$C_{V} = \frac{n_{1} C_{V_{1}} + n_{2} C_{V_{2}}}{n_{1} + n_{2}} = \frac{(1) (\frac{3}{2} R) + (1) (\frac{5}{2} R)}{1 + 1} = 2 R$ .

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