An ideal gas is made to undergo the cyclic process shown in the figure below. Let $\Delta W$ depict the work done, $\Delta U$ be the change in internal energy of the gas and $Q$ be the heat added to the gas. Sign of each of these three quantities for the whole cycle will be (0 refers to no change)

Two identical vessels $A \& B$ contain equal amount of ideal monoatomic gas. The piston of $A$ is fixed but that of $B$ is free. Same amount of heat is absorbed by$A \& B$. If $B'$s internal energy increases by $100 \,\,J$ the change in internal energy of $A$ is …… .$J$

One mole of a gas obeying the equation of state $P(V-b)=R T$ is made to expand from a state with coordinates $\left(P_{1}, V_{1}\right)$ to a state with $\left(P_{2}, V_{2}\right)$ along a process that is depicted by a straight line on a $P-V$ diagram. Then, the work done is given by

During which of the following thermodynamic process represented by $P V$ diagram the heat energy absorbed by system may be equal to area under $P V$ graph?

In a certain thermodynamical process, the pressure of a gas depends on its volume as $kV ^{3}$. The work done when the temperature changes from $100^{\circ} C$ to $300^{\circ} C$ will be ………. $nR$, where $n$ denotes number of moles of a gas.