For the same increase in volume,why work done is more if the gas is allowed to expand reversibly at higher temperature?

Explanation

To understand why the work done is more when a gas expands reversibly at a higher temperature for the same increase in volume, we can break down the explanation into several steps:

### Step-by-Step Solution:

1. **Understanding Work Done by Gas**:
The work done (W) by a gas during expansion can be expressed mathematically as:
\[
W = -P_{\text{ext}} \Delta V
...