Which one of the following is NOT a correct e | vedclass

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(A) For an ideal gas,the relationship between molar specific heats at constant pressure $(C_{P})$ and constant volume $(C_{V})$ is given by Mayer's re

Vedclass · Accepted Answer

$C_{V}=C_{P}+R$

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(A) For an ideal gas,the relationship between molar specific heats at constant pressure $(C_{P})$ and constant volume $(C_{V})$ is given by Mayer's relation: $C_{P} - C_{V} = R$.From this,we can write $C_{P} = C_{V} + R$. Therefore,the expression $C_{V} = C_{P} + R$ given in option $(A)$ is incorrect.Let us verify the other options:$(B)$ $R = C_{P} - C_{V}$. Since $\gamma = \frac{C_{P}}{C_{V}}$,we have $C_{P} = \gamma C_{V}$. Substituting this,$R = \gamma C_{V} - C_{V} = C_{V}(\gamma - 1)$. This is correct.$(C)$ $\frac{C_{V}}{C_{P}} = \frac{1}{\gamma}$. Since $\gamma = \frac{C_{P}}{C_{V}}$,this is correct.$(D)$ $R = C_{P} - C_{V} = C_{P} - \frac{C_{P}}{\gamma} = C_{P}(1 - \frac{1}{\gamma}) = C_{P}(\frac{\gamma - 1}{\gamma})$. This is correct.

Which one of the following is $NOT$ a correct expression for an ideal gas?
[$C_{P}=$ Molar specific heat of a gas at constant pressure,
$C_{V}=$ Molar specific heat of a gas at constant volume,
$\gamma=$ Ratio of two specific heats of a gas,$R=$ Universal gas constant]

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Which one of the following is $NOT$ a correct expression for an ideal gas?[$C_{P}=$ Molar specific heat of a gas at constant pressure,$C_{V}=$ Molar specific heat of a gas at constant volume,$\gamma=$ Ratio of two specific heats of a gas,$R=$ Universal gas constant]