Two moles a monatomic gas in state `A` having critical pressure `P_(0)` and temperature `3 T_(0)` is taken to a state `B` having pressure `3 P_(0)` and temperature `T_(0)//3` by the process of equation `P^(2) T` = constant. Then state `B` is taken to state `C` keeping the volume constant and it comes back to initial state `A` keeping temperature constant.
a. Plot a `P` and `T` graph. (P on the y-axis and `T` on the x-axis).
Find the net work done and heat supplied to the gas during the complete cycle.

Explanation

To solve the problem step by step, we will analyze the given states of the gas and the processes involved.

### Step 1: Identify the Initial Conditions
- **State A**:
- Pressure, \( P_A = P_0 \)
- Temperature, \( T_A = 3T_0 \)

- **State B**:
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