A cylindrical vessel of 28 cm diameter contains 20 g of nitrogen compressed by a piston supporting a weight of 75 kg. The temperature of the gas is `17^(@)C`. What work will the gas do if it is heated to a temperature of `250^(@)C` ? What amount of heat should be supplied ? To what distance will the weight be raised? The process should be assumed to be isobaric, the heating of the vessel as well as the external pressure is negligible.

Explanation

To solve the problem step by step, we will follow the outlined approach in the video transcript.

### Step 1: Calculate the Work Done by the Gas
The work done by the gas during an isobaric process can be calculated using the formula:
\[ W = P \Delta V \]
Where:
- \( P \) is the pressure,
- \( \Delta V \) is the change in volume.
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