A carnot engine, having an efficiency of $\eta  = 1/10$ as heat engine, is used as a refrigetator. If the work done on the system is $10\,J$ , the amount of energy absorbed from the reservoir at lower temperature is .......... $\mathrm{J}$

A system goes from $A$ to $B$ via two processes $I$ and $II$ as shown in figure. If $\Delta U_1$ and $\Delta U_2$ are the changes in internal energies in the processes $I$ and $II$ respectively, then

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

$P-V$ plots for two gases during adiabatic process are shown in the figure. Plots $(1)$ and $(2)$ corresponds respectively to

The isothermal Bulk modulus of an ideal gas at pressure $P$ is

In thermodynamic processes which of the following statements is not true