Describe the nature of $P-V$ diagrams for isobaric and isochoric processes.

When an ideal gas $\left(\gamma = \frac{5}{3}\right)$ is heated under constant pressure,then what percentage of given heat energy will be utilised in doing external work (in $\%$)?

If $\gamma$ is the ratio of molar specific heat at constant pressure to molar specific heat at constant volume for a gas,find the change in internal energy of $1 \, mol$ of the gas when its volume changes from $V$ to $2V$ at constant pressure $P$.

In an isobaric process,

Write the expression for the work done by an ideal gas in an isobaric process.

The equation of state for a gas is given by $PV = nRT + \alpha V$,where $n$ is the number of moles and $\alpha$ is a positive constant. The initial temperature and pressure of one mole of the gas contained in a cylinder are $T_0$ and $P_0$ respectively. The work done by the gas when its temperature doubles isobarically will be