According to the $PV$ diagram shown in the figure,a thermodynamic system is taken from state $A$ to state $B$ along the path $ACB$ and is brought back to state $A$ along the path $BDA$. The net work done during the complete cycle is given by the area of:

$A$ system goes from $P$ to $Q$ by two different paths in the $P-V$ diagram as shown in the figure. Heat given to the system in path $1$ is $1000 \, J$. The work done by the system along path $1$ is more than path $2$ by $100 \, J$. What is the heat exchanged by the system in path $2$?

One mole of a monoatomic gas is carried along the process $ABCDEA$ as shown in the diagram. Find the net work done by the gas in $J$.

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

In the $P-V$ diagram shown in the figure,$ABC$ is a semicircle. The work done in the process $ABC$ is

An ideal gas of mass $m$ in a state $A$ goes to another state $B$ via three different processes as shown in the figure. If $Q_{1}, Q_{2}$,and $Q_{3}$ denote the heat absorbed by the gas along the three paths,then