The heat capacity at constant volume of a sample of a monoatomic gas is $35 J / K$ . Find the number of moles.

12.81 m o l

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21.81 m o l

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4.81 m o l

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2.81 m o l

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Solution

The correct option is B $2.81 m o l$
For monoatomic gas, degrees of freedom is 3.

Since $C_{V} = \frac{f}{2} n R$

Hence, $35 = \frac{3}{2} n (8.314)$

$n = \frac{70}{3 \times 8.314} = 2.81 m o l$

Answer is $2.81 m o l .$

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