2 mole of `N_(2)H_(4)` loses 16 mole of electron is being converted to a new compound `X`. Assuming that all of the `N` appears in the new compound. What is the oxidation state of `'N'` in `X ` ?

Options

A. `-1`
B. `-2`
C. `+2`
D. `+4`

Answer

To find the oxidation state of nitrogen in the new compound \( X \) after the conversion of hydrazine (\( N_2H_4 \)), we can follow these steps:

### Step 1: Determine the initial oxidation state of nitrogen in \( N_2H_4 \)

1. The molecular formula of hydrazine is \( N_2H_4 \).
2. Let the oxidation state of nitrogen be \( x \).
3. The oxidation state of hydrogen is +1.
4. The equation for the overall charge of the molecule is:
\[ 2x + 4(+1) = 0 \]
5. Simplifying this gives:
\[ 2x + 4 = 0 \implies 2x = -4 \implies x = -2 \]
Thus, the oxidation state of nitrogen in \( N_2H_4 \) is -2.

### Step 2: Calculate the total number of electrons lost

1. According to the problem, 2 moles of \( N_2H_4 \) lose 16 moles of electrons.
2. Therefore, 1 mole of \( N_2H_4 \) loses:
\[ \frac{16 \text{ moles of electrons}}{2} = 8 \text{ moles of electrons} \]

### Step 3: Determine the number of nitrogen atoms in \( N_2H_4 \)

1. Each mole of \( N_2H_4 \) contains 2 moles of nitrogen atoms.
2. Therefore, 1 mole of \( N_2H_4 \) has 2 nitrogen atoms.

### Step 4: Calculate the number of electrons lost per nitrogen atom

1. Since 1 mole of \( N_2H_4 \) loses 8 moles of electrons and contains 2 moles of nitrogen, the number of electrons lost per nitrogen atom is:
\[ \frac{8 \text{ moles of electrons}}{2 \text{ moles of nitrogen}} = 4 \text{ moles of electrons} \]

### Step 5: Determine the new oxidation state of nitrogen in compound \( X \)

1. The initial oxidation state of nitrogen was -2.
2. Losing 4 electrons means that the oxidation state increases by 4 units (since losing negative charge increases the oxidation state).
3. Therefore, the new oxidation state \( y \) of nitrogen in \( X \) is:
\[ y = -2 + 4 = +2 \]

### Conclusion

The oxidation state of nitrogen in the new compound \( X \) is +2.

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