Q: The ratio Cp/Cv = γ for a gas . Its molecular weight is M. Its specific heat capacity at constant pressure is
(a) $\large \frac{R}{\gamma – 1} $
(b) $\large \frac{\gamma R}{\gamma – 1} $
(c) $\large \frac{\gamma R}{M(\gamma – 1)} $
(d) $\large \frac{\gamma R M}{\gamma – 1} $
Click to See Answer :
Ans: (c)
Sol:$\large \frac{C_p}{C_v} = \gamma $
$\large C_p – C_v = R $
$\large C_v = \frac{R}{\gamma – 1} $
$\large C_p = C_v + R = \frac{\gamma R}{\gamma – 1} $
Specific Heat capacity at constant pressure,
$\large = \frac{C_p}{M} = \frac{\gamma R}{M(\gamma – 1)} $