The molar heat capacity of an ideal gas at co | vedclass

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(A) Given that the molar heat capacity at constant volume is $C_V = \alpha R$.According to Mayer's relation,the molar heat capacity at constant pressu

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$\frac{\alpha + 1}{\alpha}$

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(A) Given that the molar heat capacity at constant volume is $C_V = \alpha R$.According to Mayer's relation,the molar heat capacity at constant pressure is $C_P = C_V + R$.Substituting the value of $C_V$,we get $C_P = \alpha R + R = R(\alpha + 1)$.Now,the ratio of molar heat capacities is given by $\frac{C_P}{C_V} = \frac{R(\alpha + 1)}{\alpha R}$.Simplifying this,we get $\frac{C_P}{C_V} = \frac{\alpha + 1}{\alpha}$.

The molar heat capacity of an ideal gas at constant volume is $\alpha R$. If $R$ is the universal gas constant,then the ratio $C_P/C_V$ is equal to ...........

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