Question

If pH value of a solution is $3$ and by adding water, it becomes $6$, then the dilution is increased by

• A. 500 times
• B. 10 times
• C. 1000 times
• D. 100 times.

Answer 1

Answer: (C)

Given: Initial $pH=3$ and final $pH=6.We$ know that $pH\propto$ Dilution.

Therefore initially $\left[H^{+}\right]=$ $10^{-3}$ and after dilution $\left[H^{+}\right]=10^{-6}$ Thus increase in dilution

$=\frac{\text{ Original }{H}^{+}\text{concentration }}{\text{ Concentration of }H+\text{ after dilution }}=\frac{10^{-3}}{10^{-6}}=10^3$

$=1000$ times