Q36 / 180 · KCET 2013 · Chemistry
The $\mathrm{pH}$ of $10^{-8} \mathrm{M} \mathrm{HCl}$ solution is
- A8
- Correct answerB$6.9586$
- Cmore than 8
- Dslightly more than 7
Solution
As $\mathrm{HCl}$ solution is acidic in nature and the $\mathrm{pH}$ of an acidic solution cannot exceed more than 7 . Thus, the answer must be $6.9586$.
We can also find this answer through calculations. From acid, $\left[\mathrm{H}^{+}\right]=10^{-8} \mathrm{M}$
But the $\left[\mathrm{H}^{+}\right]$ions from water, i.e., $\left[\mathrm{H}^{+}\right]=10^{-7} \mathrm{M}$ cannot be neglected in comparison to $10^{-8} \mathrm{M}$. The $\mathrm{pH}$ can be calculated as follows
From acid, $\left[\mathrm{H}^{+}\right]=10^{-8} \mathrm{M}$
From water, $\left[\mathrm{H}^{+}\right]=10^{-7} \mathrm{M}$
$\begin{aligned}
\therefore \text { Total }\left[\mathrm{H}^{+}\right] &=10^{-8}+10^{-7}=10^{-8}(1+10) \\
&=11 \times 10^{-8} \mathrm{M} \\
\therefore \quad \mathrm{pH} &=-\log \left[\mathrm{H}^{+}\right] \\
&=-\log \left(11 \times 10^{-8}\right) \\
&=-\left[\log 11+\log 10^{-8}\right] \\
&=-[1.0414-8]=6.9586
\end{aligned}$
Hence, the correct answer is option: 'B'.