Considere the thermodynamics cycle shown on $PV$ diagram. The process $A \rightarrow B$ is isobaric, $B \rightarrow C$ is isochoric and $C \rightarrow A$ is a straight line process. The following internal energy and heat are given $: \Delta U_{A \rightarrow B} = + 400\,\, kJ$ and $Q_{B \rightarrow C} = – 500\,\, kJ$ The heat flow in the process $Q_{C \rightarrow A}$ is  …… $kJ$

Three moles of an ideal monoatomic gas perform a cycle as shown in the figure. The gas temperature in different states are: $T_1 = 400\, K, T_2 = 800\, K, T_3 = 2400\,K$ and $T_4 = 1200\,K.$ The work done by the gas during the cycle is …….. $kJ$

Two moles of helium gas are taken over the cycle $ABCDA$, as shown in the $P-T$ diagram. Assuming the gas to be ideal the work done on the gas in taking it from $A $ to $B$ is …… $R$

In pressure-volume diagram given below, the isochoric, isothermal, and isobaric parts respectively, are

A sample of an ideal gas is taken through the cyclic process $abca$ as shown in the figure. The change in the internal energy of the gas along the path $ca$ is $-180\, J$. The gas absorbs $250\, J$ of heat along the path $ab$ and $60\, J$ along the path $bc$. The work done by the gas along the path $abc$ is ….. $J$