For an ideal gas,the molar specific heat at c | vedclass

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(B) Given,the molar specific heat at constant pressure is $C_P = \frac{7}{2}R$.We know the relation between molar specific heats for an ideal gas is $

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$7/5$

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(B) Given,the molar specific heat at constant pressure is $C_P = \frac{7}{2}R$.We know the relation between molar specific heats for an ideal gas is $C_P - C_V = R$.Substituting the value of $C_P$,we get $\frac{7}{2}R - C_V = R$.Rearranging for $C_V$,we get $C_V = \frac{7}{2}R - R = \frac{5}{2}R$.The ratio of molar specific heat at constant pressure to constant volume is $\gamma = \frac{C_P}{C_V}$.Substituting the values,$\gamma = \frac{(7/2)R}{(5/2)R} = \frac{7}{5}$.

	Gases		$C_P/C_V$ value
$A$	Monoatomic	$I$	$(4+f)/(3+f)$
$B$	Diatomic (rigid)	$II$	$5/3$
$C$	Diatomic (non-rigid)	$III$	$7/5$
$D$	Polyatomic	$IV$	$9/7$

For an ideal gas,the molar specific heat at constant pressure is $(7/2) R$. Find the ratio of the molar specific heat at constant pressure to the molar specific heat at constant volume.

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Match the following ( $f$ is number of degrees of freedom):

Gases $C_P/C_V$ value

$A$ Monoatomic $I$ $(4+f)/(3+f)$

$B$ Diatomic (rigid) $II$ $5/3$

$C$ Diatomic (non-rigid) $III$ $7/5$

$D$ Polyatomic $IV$ $9/7$

Select the incorrect relation. (Where symbols have their usual meanings)

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