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Assertion : For acidic buffer, if ratio ...

Assertion : For acidic buffer, if ratio of conjugate acid- base pair is changed by 10 times, pH change by `pm` 1.
Reason : pH always increases or decreases by 1 unit.

A

Assertion and reason both are correct statements and Reason is correct explanation for assertion.

B

Assertion and reason both are correct statement but reason is not correct explanation for assertion

C

Assertion is correct statement but reason is wrong statement.

D

Assertion is wrong statement but reason is correct statement

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the assertion and reason about the pH change in an acidic buffer when the ratio of the conjugate acid-base pair is changed, we will follow these steps: ### Step-by-Step Solution: 1. **Understanding the Buffer Equation**: The pH of an acidic buffer solution is given by the Henderson-Hasselbalch equation: \[ \text{pH} = \text{pKa} + \log\left(\frac{[\text{A}^-]}{[\text{HA}]}\right) \] where \([\text{A}^-]\) is the concentration of the conjugate base and \([\text{HA}]\) is the concentration of the conjugate acid. 2. **Initial Condition**: Let’s assume the initial ratio of the conjugate acid-base pair is \(\frac{[\text{A}^-]}{[\text{HA}]} = x\). Thus, the initial pH can be expressed as: \[ \text{pH}_1 = \text{pKa} + \log(x) \] 3. **Changing the Ratio**: If the ratio is changed by 10 times, we can express the new ratio as: \[ \frac{[\text{A}^-]}{[\text{HA}]} = 10x \] Now, the new pH can be calculated as: \[ \text{pH}_2 = \text{pKa} + \log(10x) \] 4. **Calculating the New pH**: Using the logarithmic property \(\log(ab) = \log(a) + \log(b)\), we can write: \[ \text{pH}_2 = \text{pKa} + \log(10) + \log(x) \] Since \(\log(10) = 1\), we have: \[ \text{pH}_2 = \text{pKa} + 1 + \log(x) \] 5. **Finding the Change in pH**: Now, we can find the change in pH: \[ \text{pH}_2 - \text{pH}_1 = (\text{pKa} + 1 + \log(x)) - (\text{pKa} + \log(x)) = 1 \] This shows that the pH changes by 1 unit when the ratio of the conjugate acid-base pair is changed by 10 times. 6. **Evaluating the Assertion and Reason**: - **Assertion**: "For acidic buffer, if the ratio of conjugate acid-base pair is changed by 10 times, pH changes by ±1." This is **true**. - **Reason**: "pH always increases or decreases by 1 unit." This is **false** because the change in pH depends on the factor by which the ratio is changed (e.g., changing the ratio by 100 would change the pH by 2). ### Final Conclusion: - The assertion is correct, while the reason is incorrect. Therefore, the answer to the question is that the assertion is true, but the reason is false.
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