Two vessels of equal capacity are divided by a partition contain one mole of `N_(2)` and two moles of `O_(2)` gas. If the partition is removed and gases mixed isothermally, find the change in entropy due to mixing assuming initial and final pressure are same.

Explanation

To find the change in entropy due to mixing one mole of nitrogen gas (N₂) and two moles of oxygen gas (O₂) when the partition between them is removed, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Initial Conditions**:
- We have two vessels of equal volume, V.
- Vessel A contains 1 mole of N₂.
- Vessel B contains 2 moles of O₂.
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