Q. On mixing equal volumes of two buffer solutions of pH value 3 and 5, the pH of the resultant solution will be

A) 3.3
B) 4.0
C) 4.7
D) 5.3
Explanation

(a)
$\left\lbrack H^{+} \right\rbrack$for the solution of pH 3$= 1 \times 10^{- 3}$
$\left\lbrack H^{+} \right\rbrack$for the solution of pH 5$= 1 \times 10^{- 5}$
Let $V$ volumes of both the solutions are added, then concentration of $H^{+}$ in final mixture
$= \frac{1 \times 10^{- 3} \times V + 1 \times 10^{- 5} \times V}{V + V}$
$= \frac{V(1 \times 10^{- 3} + 1 \times 10^{- 5})}{2V}$
$= \frac{1.01 \times 10^{- 3}}{2}$
$= 5.05 \times 10^{- 4}$
pH of resultant solution $= - \log{\lbrack H^{+}\rbrack}$
$= - log(5.05 \times 10^{- 4})$
$= 3.29$
$\approx 3.3$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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