70 gms of nitrogen gas was at 50 atm and `25^(@)` C.
(a) It was allowed to expand isothermally against a constant external pressure of one atmopshere. Calculate `Deltau.Deltaq` and `Deltaw` assuming that gas behaves ideally.
(b) Also find out the maximum work that would be obtained if the gas expanded reversibly and isothermally to one atmosphere.

Explanation

To solve the problem step by step, we will break it down into parts (a) and (b) as given in the question.

### Part (a)

1. **Calculate the number of moles of nitrogen gas (N₂):**
- Given mass of nitrogen gas = 70 g
- Molar mass of nitrogen gas (N₂) = 28 g/mol
- Number of moles (n) = mass / molar mass = 70 g / 28 g/mol = 2.5 moles
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