An ideal gas intially has pressure `P` volume `V` and temperature `T`. Its is isothermally expanded to four times of its original volume, then it is compressed at constant pressure to attain its original volume `V`. Finally, the gas is heated at constant volume to get the original temperature `T`. (a) Draw `V-T` curve (b) Calculate the total work done by the gas in the process.(given `ln2 = 0.693)`

Explanation

To solve the problem step by step, we will break it down into parts: drawing the V-T curve and calculating the total work done by the gas during the entire process.

### Step 1: Understanding the Processes

1. **Isothermal Expansion (Process 1 to 2)**:
- The gas expands isothermally from volume \( V \) to \( 4V \) at constant temperature \( T \).
- According to the ideal gas law, \( PV = nRT \) remains constant.
- Initial state: \( (P, V, T) \)
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