A sample of hydrazine sulphate `[N_(2)H_(6)SO_(4)]` was dissolved in 100 mL water. 10 mL of this solution was treated with excess of `FeCl_(3)` Sol. Ferrous ions formed were estimated and it required 20 mL of M/50 `KMnO_(4)` solution in acidic medium.
`Fe^(+)+N_(2)H_(4)rarrN_(2)+Fe^(2+)+H^(+)`
`MnO_(4^(-)) + Fe^(2+)+H^(+)rarrMN^(2+)+Fe^(3+)+H_(2)O`
(a) Write the balanced redox reactions.
(b) Estimate the amount of hydrazine sulphate in one litre of Sol.

Explanation

To solve the problem step by step, we will address both parts of the question: balancing the redox reactions and estimating the amount of hydrazine sulfate in one liter of solution.

### Part (a): Write the balanced redox reactions.

1. **Identify the half-reactions**:
- For the first reaction involving hydrazine sulfate and ferrous ions:
\[
\text{Fe}^{+3} + \text{N}_2\text{H}_4 \rightarrow \text{N}_2 + \text{Fe}^{+2} + \text{H}^{+}
...