Thermodynamics question bank (Physics)

A gas for which $\gamma = {5}/{3}\ \left(\gamma = {C_p}/{C_v}\right)$ is heated at constant pressure. The percentage of heat supplied used for external work is

Let $\eta_1$ be the efficiency of a Carnot engine at $T_H = 547^\circ\text{C}$ and $T_C = 247^\circ\text{C}$ while $\eta_2$ is the efficiency at $T_H = 847^\circ\text{C}$ and $T_C = 147^\circ\text{C}$. If $\eta_1 = \dfrac{x}{41}\eta_2$, the value of $x$ is