A: In the reaction,
`2NaOH+H_(2)SO_(4) to Na_(2)SO_(4) + 2H_(2)O`
equivalents of NaOH, `Na_(2)SO_(4)` and `H_(2)SO_(4)` are equal.
R: `"Number of equivalents" = "number of moles" xx "n-factor"`.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion
C. If Assertion is true statement but Reason is false
D. If both Assertion and Reason are false statements

Answer

To solve the question, we need to analyze the given reaction and determine the number of equivalents for each of the reactants and products involved. The reaction provided is:

\[ 2 \text{NaOH} + \text{H}_2\text{SO}_4 \rightarrow \text{Na}_2\text{SO}_4 + 2 \text{H}_2\text{O} \]

**Step 1: Calculate the number of equivalents for NaOH**

- **Number of moles of NaOH**: From the balanced equation, we see there are 2 moles of NaOH.
- **n-factor of NaOH**: The n-factor for NaOH is 1, as it can donate one hydroxide ion (OH⁻) per molecule.

Using the formula:
\[ \text{Number of equivalents} = \text{Number of moles} \times \text{n-factor} \]
\[ \text{Equivalents of NaOH} = 2 \text{ moles} \times 1 = 2 \text{ equivalents} \]

**Step 2: Calculate the number of equivalents for H₂SO₄**

- **Number of moles of H₂SO₄**: From the balanced equation, there is 1 mole of H₂SO₄.
- **n-factor of H₂SO₄**: The n-factor for H₂SO₄ is 2, as it can donate two protons (H⁺) per molecule.

Using the formula:
\[ \text{Equivalents of H}_2\text{SO}_4 = 1 \text{ mole} \times 2 = 2 \text{ equivalents} \]

**Step 3: Calculate the number of equivalents for Na₂SO₄**

- **Number of moles of Na₂SO₄**: From the balanced equation, there is 1 mole of Na₂SO₄.
- **n-factor of Na₂SO₄**: The n-factor for Na₂SO₄ is 2, as it has a total positive charge of +2 (from two Na⁺ ions).

Using the formula:
\[ \text{Equivalents of Na}_2\text{SO}_4 = 1 \text{ mole} \times 2 = 2 \text{ equivalents} \]

**Step 4: Compare the equivalents**

Now we can summarize the equivalents calculated:
- Equivalents of NaOH = 2
- Equivalents of H₂SO₄ = 2
- Equivalents of Na₂SO₄ = 2

Since all three are equal, the assertion is correct.

**Conclusion:**

Both the assertion (A) and the reasoning (R) are true. The assertion states that the equivalents of NaOH, Na₂SO₄, and H₂SO₄ are equal, and the reasoning correctly explains how to calculate the number of equivalents using the formula.

**Final Answer: Both assertion and reasoning are true.**

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