Assertion: 65.38 g of Zn when treated with excess of dilute `H_2SO_4`, will always form 22.4 L of `H_2` at S.T.P.
Reason: The yield of a product is always in accordance with the stoichiometry of the reaction.

Options

A. If both Assertion and Reason are CORRECT and Reason is the CORRECT explanation of the Assertion.
B. If both Assertion and Reason are CORRECT but Reason is not the CORRECT explanation of the Assertion.
C. If Assertion is CORRECT but Reason is INCORRECT
D. If Assertion is INCORRECT but Reason is CORRECT.

Answer

To solve the question, we need to analyze the assertion and the reason provided.

### Step-by-Step Solution:

1. **Understanding the Reaction**:
The reaction between zinc (Zn) and dilute sulfuric acid (H₂SO₄) can be represented as:
\[ \text{Zn} + \text{H}_2\text{SO}_4 \rightarrow \text{ZnSO}_4 + \text{H}_2 \]
This reaction shows that one mole of zinc reacts with one mole of sulfuric acid to produce one mole of zinc sulfate and one mole of hydrogen gas.

2. **Calculating Moles of Zinc**:
We are given 65.38 g of zinc. The atomic mass of zinc is approximately 65.38 g/mol. Therefore, the number of moles of zinc can be calculated as:
\[ \text{Moles of Zn} = \frac{\text{Mass of Zn}}{\text{Molar mass of Zn}} = \frac{65.38 \, \text{g}}{65.38 \, \text{g/mol}} = 1 \, \text{mol} \]

3. **Determining Moles of Hydrogen Gas Produced**:
According to the stoichiometry of the reaction, 1 mole of zinc produces 1 mole of hydrogen gas (H₂). Therefore, from 1 mole of zinc, we will get:
\[ \text{Moles of H}_2 = 1 \, \text{mol} \]

4. **Calculating Volume of Hydrogen Gas at STP**:
At standard temperature and pressure (STP), 1 mole of any gas occupies 22.4 liters. Thus, the volume of hydrogen gas produced will be:
\[ \text{Volume of H}_2 = \text{Moles of H}_2 \times 22.4 \, \text{L/mol} = 1 \, \text{mol} \times 22.4 \, \text{L/mol} = 22.4 \, \text{L} \]

5. **Conclusion on Assertion**:
The assertion states that 65.38 g of Zn will always produce 22.4 L of H₂ at STP when treated with excess dilute H₂SO₄. Based on our calculations, this assertion is **true**.

6. **Analyzing the Reason**:
The reason states that the yield of a product is always in accordance with the stoichiometry of the reaction. Since we used stoichiometry to determine the amount of hydrogen gas produced from zinc, this statement is also **true**.

### Final Conclusion:
Both the assertion and the reason are true, and the reason correctly explains the assertion.

### Answer:
A) Both assertion and reason are true, and the reason is the correct explanation for the assertion.

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