The specific heat for 1 mole of an ideal gas at constant pressure is $\mathrm{C}_{\mathrm{P}}$ and t

Question

The specific heat for 1 mole of an ideal gas at constant pressure is $\mathrm{C}_{\mathrm{P}}$ and that at constant volume $\mathrm{C}_{\mathrm{v}}$. Then\

Professor PC Thomas Classes · Answer

$\mathrm{C}_{\mathrm{v}}=\frac{n}{2} \mathrm{R} \quad \mathrm{C}_{\mathrm{p}}=\frac{n+2}{2} R$ For hydrogen $\mathrm{n}=5$\ $\mathrm{C}_{\mathrm{v}}=\frac{5}{2} \mathrm{R} \quad \mathrm{C}_{\mathrm{p}}=\frac{7}{2} \mathrm{R}$\ $\mathrm{C}_{\mathrm{p}}-\mathrm{C}_{\mathrm{v}}=\frac{7}{2} R-\frac{5}{2} R=R$\ $=1.99 \mathrm{cal} \mathrm{K}^{-1} \mathrm{~mol}^{-1}$\