A gas undergoes an isothermal process. The specific heat capacity of the gas in the process is:
1. infinity
2. \(0.5\)
3. zero
4. \(1\)

The volume (\(V\)) of a monatomic gas varies with its temperature (\(T\)), as shown in the graph. The ratio of work done by the gas to the heat absorbed by it when it undergoes a change from state \(\mathrm{A}\) to state \(\mathrm{B}\) will be:
           

One mole of an ideal monatomic gas undergoes a process described by the equation \(PV^3=\mathrm{constant}.\) The heat capacity of the gas during this process is:
1. \(\frac{3}{2}R\)
2. \(\frac{5}{2}R\)
3. \(2R\)
4. \(R\)

The molar specific heat at a constant pressure of an ideal gas is \(\frac{7}{2}R.\) The ratio of specific heat at constant pressure to that at constant volume is:
1. \(\frac{7}{5}\)
2. \(\frac{8}{7}\)
3. \(\frac{5}{7}\)
4. \(\frac{9}{7}\)

When volume changes from \(V\) to \(2V\) at constant pressure(\(P\)), the change in internal energy will be:
1. \(PV\)
2. \(3PV\)
3. \(\frac{PV}{\gamma -1}\)
4. \(\frac{RV}{\gamma -1}\)

If a gas changes volume from 2 litres to 10 litres at a constant temperature of 300K, then the change in its internal energy will be: