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(D) For a diatomic gas,the molar heat capacity at constant volume is $C_V = \frac{5}{2}R$ and at constant pressure is $C_P = \frac{7}{2}R$.When heat $

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$5/7$

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(D) For a diatomic gas,the molar heat capacity at constant volume is $C_V = \frac{5}{2}R$ and at constant pressure is $C_P = \frac{7}{2}R$.When heat $\Delta Q$ is supplied at constant pressure,the heat supplied is $\Delta Q = n C_P \Delta T$.The change in internal energy is $\Delta U = n C_V \Delta T$.The fraction of heat converted into internal energy is $\frac{\Delta U}{\Delta Q} = \frac{n C_V \Delta T}{n C_P \Delta T} = \frac{C_V}{C_P}$.Substituting the values,we get $\frac{\Delta U}{\Delta Q} = \frac{5/2 R}{7/2 R} = \frac{5}{7}$.

	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	$IV$	$9/7$

When heat is supplied to a diatomic gas,it expands at constant pressure. What fraction of the heat supplied is converted into internal energy?

Similar Questions

The specific heat of a gas:

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 $IV$ $9/7$

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Write definitions of molar specific heat at constant pressure and constant volume.

If $\frac{R}{C_v} = 0.67$,identify the gas.

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