Calculate the amount of work done when one mole of an ideal gas contained in a bulb of 2 L capacity at 1 atm is allowed to enter in evacuted bulb of 10 L capacity and in another case if is allowed to expand from 1 L to 5 L against a pressure of 1 atm.

Explanation

To solve the problem of calculating the work done when one mole of an ideal gas is allowed to enter an evacuated bulb and when it expands from 1 L to 5 L against a pressure of 1 atm, we will break it down into two parts.

### Part 1: Work Done When Gas Enters an Evacuated Bulb

1. **Identify the Initial and Final Conditions:**
- Initial volume (V1) = 2 L (the volume of the bulb containing the gas)
- Final volume (V2) = 10 L (the volume of the evacuated bulb)

...