How will you calculate work done on an ideal gas in a compression, when change in pressure is carried out in infinite steps?

Explanation

To calculate the work done on an ideal gas during a compression process where the change in pressure occurs in infinite steps (reversible process), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Process**: Recognize that in a reversible compression of an ideal gas, the process occurs in such a way that the gas is always in equilibrium with its surroundings. This means that the pressure of the gas changes continuously and infinitesimally.

2. **Identify the Initial and Final States**: Let the initial state of the gas be defined by the initial pressure \( P_i \) and volume \( V_i \), and the final state by the final pressure \( P_f \) and volume \( V_f \).

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