Choose the incorrect statement from the following
$S1$: The efficiency of a heat engine can be $1$, but the coefficient of performance of a refrigerator can never be infinity
$S2$: The first law of thermodynamics is basically the principle of conservation of energy
$S3$: The second law of thermodynamics does not allow several phenomena consistent with the first law
$S4$: A process, whose sole result is the transfer of heat from a colder to a hotter object is impossible
$S1$
$S2$
$S3$
$S4$
$P-V$ diagram of an ideal gas is as shown in figure. Work done by the gas in process $ABCD$ is
The efficiency of Carnot engine is $50\%$ and temperature of sink is $500\, K$. If the temperature of source is kept constant and its efficiency is to be raised to $60\%$, then the required temperature of the sink will be........ $K$
Two Carnot engines $A$ and $B$ are operated in series. The engine $A$ receives heat from the source at temperature $T_1$ and rejects the heat to the sink at temperature $T$. The second engine $B$ receives the heat at temperature $T$ and rejects to its sink at temperature $T_2$. For what value of $T$ the efficiencies of the two engines are equal?
The heat energy absorbed by a system in going through a cyclic process shown in figure is
One mole of an ideal gas having initial volume $V$ , pressure $2P$ and temperature $T$ undergoes a cyclic process $ABCDA$ as shown below The net work done in the complete cycle is