Question

Buffer capacity is given by the equation

• A. \( \beta = \frac{\Delta pH}{\Delta B} \)
• B. \( \beta = \frac{\Delta B}{\Delta V} \)
• C. \( \beta = \frac{\Delta B}{\Delta pH} \)
• D. \( \beta = \frac{\Delta B}{\Delta E} \)

Hint:

Buffer capacity is an important concept in solutions that maintain pH stability. Always use the correct formula \( \beta = \frac{\Delta pH}{\Delta B} \).

Answer 1

The Correct Option is A

Step 1: Understanding buffer capacity.
Buffer capacity (\( \beta \)) refers to the ability of a buffer solution to resist changes in pH when an acid or base is added. The formula for buffer capacity is \( \beta = \frac{\Delta pH}{\Delta B} \), where \( \Delta pH \) is the change in pH and \( \Delta B \) is the amount of acid or base added.
Step 2: Analyzing the options.
(1) \( \beta = \frac{\Delta pH}{\Delta B} \): Correct — This is the correct formula for buffer capacity.
(2) \( \beta = \frac{\Delta B}{\Delta V} \): Incorrect, as it does not define buffer capacity.
(3) \( \beta = \frac{\Delta B}{\Delta pH} \): Incorrect, as this formula reverses the terms.
(4) \( \beta = \frac{\Delta B}{\Delta E} \): Incorrect, this is unrelated to buffer capacity.
Step 3: Conclusion.
The correct formula for buffer capacity is (1) \( \beta = \frac{\Delta pH}{\Delta B} \).