Consider a cycle tyre being filled with air by a pump. Let $V$ be the volume of the tyre (fixed) and at each stroke of the pump $\Delta V$ $(< < V)$ of air is transferred to the tube adiabatically. What is the work done when the pressure in the tube is increased from $P_1$ to $P_2$ ?

An ideal gas undergoes four different processes from the same initial state as shown in the figure below. Those processes are adiabatic, isothermal, isobaric and isochoric. The curve which represents the adiabatic process among $1,2,3$ and $4$ is

Which of the following is an equivalent cyclic process corresponding to the thermodynamic cyclic given in the figure? where, $1 \rightarrow 2$ is adiabatic.

(Graphs are schematic and are not to scale)

If $\gamma $ denotes the ratio of two specific heats of a gas, the ratio of slopes of adiabatic and isothermal $PV$ curves at their point of intersection is

Slope of isotherm for a gas (having $\gamma=\frac{5}{3}$ ) is $3 \times 10^5 \,N / m ^2$. If the same gas is undergoing adiabatic change then adiabatic elasticity at that instant is ……….. $\times 10^5 N / m ^2$