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  4. If 21 textJ of heat energy is supplied to an ideal diatomic gas at constant pressure, then the change in its internal energy is

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Q. If $21 \, \text{J}$ of heat energy is supplied to an ideal diatomic gas at constant pressure, then the change in its internal energy is

NTA AbhyasNTA Abhyas 2020Thermodynamics

Solution:

$Q=nC_{p}\Delta T$
$\Rightarrow 21=n\frac{7}{2}R\Delta T$
$\Rightarrow nR\Delta T=6$
$\Delta U=\frac{5}{2}nR\Delta T$
$\Delta U=\frac{5}{2}\times 6=15J$