Question

How many litres of water must be added to $1$ litre of an aqueous solution of HCl with a pH of $1$ to create an aqueous solution with pH of $2$?

• A. $0.1$ L
• B. $0.9$ L
• C. $2.0$ L
• D. $9.0$ L

Answer 1

The correct option is D $9.0$ L

given solution $pH=1$

$\left[H^{+}\right]={10}^{-1}M$

volume $=Ilit$

required solution $pH=2$

$\left[H^{+}\right]={10}^{-2}M$

volume $=?$

$M_1{V}_1=M_2{V}_2$

$\left({10}^{-10}\right)\left(1\right)=\left({10}^{-2}\right)(1+x)$

$x=9lit$