The specific heat capacity of a monatomic gas | vedclass

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(C) For a monatomic gas,the molar specific heat capacity at constant volume is $C_V = \frac{3}{2} R$. For a monatomic gas,the molar specific heat capa

Vedclass · Accepted Answer

$60$

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(C) For a monatomic gas,the molar specific heat capacity at constant volume is $C_V = \frac{3}{2} R$. For a monatomic gas,the molar specific heat capacity at constant pressure is $C_P = \frac{5}{2} R$. According to the problem,$C_V = \frac{x}{100} 	imes C_P$. Substituting the values,we get $\frac{3}{2} R = \frac{x}{100} 	imes \frac{5}{2} R$. Canceling $\frac{1}{2} R$ from both sides,we get $3 = \frac{x}{100} 	imes 5$. Solving for $x$,we get $x = \frac{3 	imes 100}{5} = 60$.

The specific heat capacity of a monatomic gas at constant volume is $x \%$ of its specific heat capacity at constant pressure. Then $x=$

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