In a given process, $\large\frac{1}{k}$th part of the supplied heat goes in raising internal energy of the gas. Finding the molar specific heat of the gas and the process gives?

Question

$(A)\; C = \large\frac{kR}{\gamma+1}$ $(B)\; C = \large\frac{kR}{\gamma}$ $(C)\; C = \large\frac{kR}{\gamma-1}$ $(D)\; C = \large\frac{(1+k)R}{\gamma+1}$