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  4. A diatomic gas is heated at constant pressure. What fraction of the heat energy is used to increase the internal energy?

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Q. A diatomic gas is heated at constant pressure. What fraction of the heat energy is used to increase the internal energy?

AFMCAFMC 2009

Solution:

Fraction of supplied energy which increases the internal energy is given by
$f =\frac{\Delta U}{\left(\Delta Q_{p}\right)}=\frac{(\Delta Q)_{V}}{\left(\Delta Q_{p}\right)_{p}} $
$=\frac{\mu C_{V} \Delta T}{\mu C_{p} \Delta T}=\frac{1}{\gamma} $
For diatomic gas $\gamma=\frac{7}{5}$
$\Rightarrow f=\frac{5}{7}$