Buffer capacity of a buffer solution is `x`, the volume of `1 M NaOH` added to `100 mL` of this solution if the change of `pH` by `1` is

Options

A. `0.1 x mL`
B. `10x mL`
C. `4100x mL`
D. `x mL `

Explanation

To solve the problem, we need to determine the volume of 1 M NaOH that can be added to a buffer solution of volume 100 mL, such that the pH changes by 1 unit, given that the buffer capacity is \( x \).

### Step-by-Step Solution:

1. **Understand Buffer Capacity**:
The buffer capacity \( \phi \) is defined as the number of moles of hydroxide ions \( OH^- \) that can be added to 1 liter of buffer solution to cause a change in pH of 1 unit. The formula for buffer capacity is:
\[
\phi = \frac{\text{Number of moles of } OH^-}{\text{Change in pH}}
...