If 100 mL of `1 N H_(2)SO_(4)` is mixed with 100 mL of 1 M NaOH solution. The resulting solution will be

Options

A. Highly acidic
B. Neutral
C. Highly basic
D. Slightly acidic

Answer

To solve the problem of mixing 100 mL of 1 N H₂SO₄ with 100 mL of 1 M NaOH, we need to analyze the reaction between the acid and the base step by step.

### Step-by-Step Solution:

1. **Identify the Reactants:**
- We have 100 mL of 1 N H₂SO₄ (sulfuric acid) and 100 mL of 1 M NaOH (sodium hydroxide).
- H₂SO₄ is a strong acid and NaOH is a strong base.

2. **Determine the Normality of NaOH:**
- The normality (N) of NaOH can be calculated using its molarity (M). For NaOH, which is a strong base, the n-factor is 1 (since it provides one hydroxide ion per molecule).
- Therefore, the normality of NaOH is equal to its molarity:
\[ \text{Normality of NaOH} = 1 \, \text{M} \times 1 = 1 \, \text{N} \]

3. **Calculate the Moles of H₂SO₄ and NaOH:**
- For H₂SO₄:
- Volume = 100 mL = 0.1 L
- Normality = 1 N
- Moles of H₂SO₄ = Normality × Volume = 1 N × 0.1 L = 0.1 equivalents
- Since H₂SO₄ provides 2 moles of H⁺ ions per mole, the moles of H₂SO₄ = 0.1 equivalents / 2 = 0.05 moles.

- For NaOH:
- Volume = 100 mL = 0.1 L
- Molarity = 1 M
- Moles of NaOH = Molarity × Volume = 1 M × 0.1 L = 0.1 moles.

4. **Determine the Reaction:**
- The balanced chemical reaction is:
\[ \text{H}_2\text{SO}_4 + 2 \text{NaOH} \rightarrow \text{Na}_2\text{SO}_4 + 2 \text{H}_2\text{O} \]
- From the reaction, 1 mole of H₂SO₄ reacts with 2 moles of NaOH.

5. **Compare Moles of Reactants:**
- We have 0.05 moles of H₂SO₄ and 0.1 moles of NaOH.
- According to the stoichiometry of the reaction, 0.05 moles of H₂SO₄ would require 0.1 moles of NaOH for complete neutralization.
- Since we have exactly 0.1 moles of NaOH, all of the H₂SO₄ will react with NaOH.

6. **Resulting Solution:**
- After the reaction, all the acid (H₂SO₄) is neutralized by the base (NaOH), resulting in a neutral solution.
- Therefore, the resulting solution will be neutral.

### Conclusion:
The resulting solution after mixing 100 mL of 1 N H₂SO₄ with 100 mL of 1 M NaOH will be neutral.