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(a). IF both (A) and (R) are correct and...

(a). IF both (A) and (R) are correct and (R) is the correct explanation of (A).
(b). If both (A) and (R) are correct but (R) is not the correct explanation of (A).
(c). If (A) is correct, but (R) is incorrect.
(d). If (A) is incorrect, but (R) is correct.
(e) if both (A) and (R) are incorrect.
Assertion (A): In the titration of `Na_(2)CO_(3)` with HCl using methyl orange indicator the volume required at the equivalence point is twice that of the acid required using phenolphthalein indicator.
Reason (R): 2 " mol of "HCl are required for complete neutralization of one mole of `Na_(2)CO_(3)`.

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The correct Answer is:
To solve the assertion and reasoning question, we will analyze both the assertion (A) and the reason (R) step by step. ### Step 1: Understand the Assertion (A) **Assertion (A):** In the titration of \( \text{Na}_2\text{CO}_3 \) with HCl using methyl orange indicator, the volume required at the equivalence point is twice that of the acid required using phenolphthalein indicator. - **Explanation:** - When \( \text{Na}_2\text{CO}_3 \) is titrated with HCl, it can react in two steps: 1. The first step produces sodium bicarbonate (\( \text{NaHCO}_3 \)) and is indicated by phenolphthalein. 2. The second step produces carbonic acid (\( \text{H}_2\text{CO}_3 \)) and is indicated by methyl orange. - The first equivalence point (using phenolphthalein) requires 1 mole of HCl for every mole of \( \text{Na}_2\text{CO}_3 \), while the second equivalence point (using methyl orange) requires 2 moles of HCl for complete neutralization. ### Step 2: Understand the Reason (R) **Reason (R):** 2 moles of HCl are required for complete neutralization of one mole of \( \text{Na}_2\text{CO}_3 \). - **Explanation:** - This statement is correct because \( \text{Na}_2\text{CO}_3 \) can react with HCl in two steps, requiring 2 moles of HCl to fully neutralize it to \( \text{H}_2\text{CO}_3 \). ### Step 3: Analyze the Relationship Between (A) and (R) - Both the assertion (A) and the reason (R) are correct. - However, the reason (R) does not directly explain why the volume of HCl required at the equivalence point using methyl orange is twice that required using phenolphthalein. The correct explanation involves the different equivalence points indicated by the two indicators. ### Conclusion Based on the analysis: - **Assertion (A)** is correct. - **Reason (R)** is correct. - **However, (R) is not the correct explanation of (A)**. Thus, the correct answer is **(b)**: If both (A) and (R) are correct but (R) is not the correct explanation of (A). ---

To solve the assertion and reasoning question, we will analyze both the assertion (A) and the reason (R) step by step. ### Step 1: Understand the Assertion (A) **Assertion (A):** In the titration of \( \text{Na}_2\text{CO}_3 \) with HCl using methyl orange indicator, the volume required at the equivalence point is twice that of the acid required using phenolphthalein indicator. - **Explanation:** - When \( \text{Na}_2\text{CO}_3 \) is titrated with HCl, it can react in two steps: ...
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