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Question

Buffer capacity of a buffer solution is x, the volume of 1M NaOH added to 100 mL of this solution if we change the pH by 1 is
  1. 0.1 x mL
  2. 10 x mL
  3. 100 x mL
  4. x mL


Solution

The correct option is C 100 x mL
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=No. of moles of acid in 1 L ΔpH
Moles of NaOH is required for 1 litre solution =x
Mole of NaOH is required for 100 mL of solution =0.1x
Now, 0.1x=1×V
V=0.1x L=100x mL

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