An ideal gas undergoes the cyclic process $abca$ as shown in the given $P-V$ diagram. It rejects $50 \,J$ of heat during $ab$ and absorbs $80 \,J$ of heat during $ca$. During $bc$, there is no transfer of heat and $40 \,J$ of work is done by the gas. What should be the area of the closed curve $abca$ (in $\,J$)?

The magnitude of heat exchanged by a system for the given cyclic process $ABCA$ (as shown in the figure) is (in $SI$ units).

For one complete cycle of a thermodynamic process on a gas as shown in the $P-V$ diagram,which of the following is true?

In a cyclic process $A \rightarrow B \rightarrow C \rightarrow A$,the heat given to the gas is $5 \ J$. The work done during the process $C \rightarrow A$ is ............ $J$.

The heat energy absorbed by a system in going through a cyclic process shown in the figure is:

In a thermodynamic process,the pressures and volumes corresponding to some points in the figure are $P_A = 3 \times 10^4 \, Pa$,$V_A = 2 \times 10^{-3} \, m^3$,$P_B = 8 \times 10^4 \, Pa$,and $V_D = 5 \times 10^{-3} \, m^3$. In process $AB$,$600 \, J$ of heat is added,and in process $BC$,$200 \, J$ of heat is added to the system. The change in the internal energy in process $AC$ would be .... $J$.