A thermodynamic cycle of an ideal gas is shown in the figure. Choose the correct option which represents the same cycle

A carnot engine having an efficiency of $\frac{1}{10}$ is being used as a refrigerator. If the work done on the refrigerator is $10 \;\mathrm{J},$ the amount of heat absorbed from the reservoir at lower temperature is .............. $\mathrm{J}$

A monoatomic ideal gas, initially at temperature $T_1$, is enclosed in a cylinder fitted with a frictionless piston. The gas is allowed to expand adiabatically to a temperature $T_2$ by releasing the piston suddenly. If $L_1$ and $L_2$ are the lengths of the gas column before and after expansion respectively, then $T_1/T_2$ is given by

An ideal heat engine operates on Carnot cycle between $227\,^oC$ and $127\,^oC$. It absorbs $6 \times 10^4\, cal$ at the higher temperature. The amount of heat converted into work equals to

An ideal gas expands isothermally from a volume $V_1$ to $V_2$ and then compressed to original volume $V_1$ adiabatically. Initial pressure is $P_1$ and final pressure is $P_3$. The total work done is $W$. Then

When a system is taken from thermodynamic state $i$ to $f$ along the path $iaf$ (see figure), it is found that the heat $Q$ absorbed by the system is $50\ cal$ and work $W$ done by the system is equal to $20\ cal$ . Along the path ibf $Q = 36\ cal$ . What is $W$ along the path ibf?  ........... $\mathrm{cal}$