An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure). Initially the gas is at temperature $$T_1$$, pressure $$P_1$$ and volume $$V_1$$ and the spring is in its relaxed state. The gas is then heated very slowly to temperature $$T_2$$, pressure $$P_2$$ and volume $$V_2$$. During this process the piston moves out by a distance x. Ignoring the friction between the piston and the cylinder, the correct statement(s) is(are)