One mole of an ideal diatomic gas undergoes a transition from $A$ to $B$ along a path $AB$ as shown in the figure. The change in internal energy of the gas during the transition is

The density $\rho$ versus volume $V$ graph is shown in the figure. Find the corresponding pressure $P$ versus temperature $T$ graph.

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 $\,J$)?

What is the total work done in a cyclic process?

On a $TP$ diagram,two moles of an ideal gas perform processes $AB$ and $CD$. If the work done by the gas in the process $AB$ is two times the work done in the process $CD$,then what is the value of $T_1/T_2$?

An ideal gas undergoes a four-step cycle as shown in the $P-V$ diagram below. During this cycle,in which step is heat absorbed by the gas?