If $dQ$, $dU$, and $dW$ are heat energy absorbed, change in internal energy, and external work done respectively by a diatomic gas at constant pressure, then the ratio $dW: dU: dQ$ is:

$A$ process is shown in the diagram. Which of the following curves may represent the same process?

$A$ cyclic process $ABCD$ is shown in the given $P-V$ diagram. Which of the following diagrams represents the same process in a $P-T$ graph?

If one mole of an ideal gas at $(P_{1}, V_{1})$ is allowed to expand reversibly and isothermally ($A$ to $B$),its pressure is reduced to one-half of the original pressure (see figure). This is followed by a constant volume cooling till its pressure is reduced to one-fourth of the initial value $(B \rightarrow C)$. Then it is restored to its initial state by a reversible adiabatic compression ($C$ to $A$). The net work done by the gas is equal to ...... .

The ratio of the slopes of isothermal and adiabatic curves is

$A$ gas is compressed from a volume of $2 \,m^3$ to a volume of $1 \,m^3$ at a constant pressure of $100 \,N m^{-2}$. Then it is heated at constant volume by supplying $150 \,J$ of energy. As a result,the internal energy of the gas