• # question_answer 28) The molar specific heats of an ideal gas at  constant pressure and volume are denoted by${{C}_{p}}$ and ${{C}_{\upsilon }}$respectively. If$\gamma =\frac{{{C}_{p}}}{{{C}_{\upsilon }}}$and R is the universal gas constant, then ${{C}_{\upsilon }}$is equal to: A) $\frac{1+\gamma }{1-\gamma }$B) $\frac{R}{(\gamma -1)}$C) $\frac{(\gamma -1)}{R}$D) $\gamma R$

We have ${{C}_{p}}-{{C}_{v}}=R$ and $\frac{{{C}_{p}}}{{{C}_{v}}}=\gamma$ From (i) and (ii), we get ${{C}_{v}}=\frac{R}{(\gamma -1)}$