Cv and Cp denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then [2009]

Question

$C_{v}$ and $C_{p}$ denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then [2009]

Smart Achievers · Accepted Answer

(2, 4)

$We know for all gases C_{p} - C_{v} = R$

$For monoatomic gas : C_{v} = \frac{3}{2} R; C_{p} = \frac{5}{2} R; γ = \frac{5}{3}$

$∴$ $C_{p} \cdot C_{v} = \frac{15 R^{2}}{4} and C_{p} + C_{v} = 4 R$

$For diatomic gas : C_{v} = \frac{5}{2} R; C_{p} = \frac{7}{2} R; γ = \frac{7}{5}$

$∴$ $C_{p} \cdot C_{v} = \frac{35 R^{2}}{4} and C_{p} + C_{v} = 6 R$

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