Carnot Engine operating between the two reservoirs at kept at temperatures of $27$ C and $227$C respectively is using $4\mathrm{.}81$mole of ideal gas. During the operation the gas expand isothermally from the initial state of Va$=40\mathrm{.}0$ l to Vb$=120\mathrm{.}0$ l$,$ from which it expands adiabatically to $160\mathrm{.}0$ l$.$ The isothermal compression takes the gas to the volume of $150\mathrm{.}0$ l followed by an adiabatic compression to the initial volume. What is the efficiency of the engine and what is the entropy change in one cycle? A$)$ e $=60\%$ ; $$S $=43\mathrm{.}9$J$/$K B$)$ e$=40\%$S $=41\mathrm{.}3$ J$/$K C$)$ e $=40\%$ ; $$S $=43\mathrm{.}9$ J$/$K D$)$ e$=60\%$S $=41\mathrm{.}3$ J$/$K E$)$ none of the above