Three moles of an ideal gas at a pressure `P_(A)` and temperature `T_(A)` is isothermally expanded to twice its initial volume. It is then compressed at constant pressure to its original , volume. Finally the gas is compressed at constant volume to its original pressure `P_(A)`
(a) Sketch the P-V and P-T diagrams for the complete process.
(b) Calculate the net work done by the gas, and net heat supplied to the gas during the complete process.

Explanation

To solve the problem step by step, we will break it down into parts (a) and (b) as requested.

### Part (a): Sketching the P-V and P-T Diagrams

1. **Identify the States**:
- Initial state (A): Pressure \( P_A \), Temperature \( T_A \), Volume \( V_A \)
- State B (after isothermal expansion): Pressure \( P_B \), Temperature \( T_A \), Volume \( V_B = 2V_A \)
- State C (after isobaric compression): Pressure \( P_B \), Temperature \( T_C \), Volume \( V_C = V_A \)
...