Buffer capacity of a buffer solution is $x$ , the volume of $1 M N a O H$ added to $100 m L$ of this solution if we change the pH by 1 is

0.1 x m L

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10 x m L

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100 x m L

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x m L

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Solution

The correct option is C $100 x m L$
Buffer capacity $β$ , is defined as the moles of an acid or base required to change the pH of a solution by one, divided by the pH change and the volume of buffer in liters.
$β = \frac{N o . o f m o l e s o f a c i d i n 1 L}{Δ p H}$
Moles of $N a O H$ is required for $1$ litre solution $= x$
Mole of $N a O H$ is required for $100 m L$ of solution $= 0.1 x$
Now, $0.1 x = 1 \times V$
$\Rightarrow V = 0.1 x L = 100 x m L$

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