Ten moles of an ideal monatomic gas, initially in state $$\boldsymbol{a}$$ at atmospheric pressure and temperature $$T_a=27^\circ\mathrm{C}$$, is enclosed in a metal cylinder of volume $$V_0$$ fitted with a frictionless piston. The gas is suddenly compressed to state $$\boldsymbol{b}$$ with volume $$V_0/3$$. Now, keeping the piston stationary, the cylinder is submerged in a water bath of temperature $$11^\circ\mathrm{C}$$ until the gas reaches the temperature of the water bath, which is denoted as state $$\boldsymbol{c}$$. Finally, while still in the water bath, the piston is brought slowly to its initial position, which is denoted as state $$\boldsymbol{f}$$. If $$R$$ is universal gas constant, then the correct option(s) is/are:

[Given: $$9^{1/3}=2.08$$]