What is the $\mathrm{pH}$ of $0.005 \mathrm{M} \mathrm{H}_2 \mathrm{SO}_4$ solution?

What is the $\mathrm{pH}$ of $0.005 \mathrm{M} \mathrm{H}_2 \mathrm{SO}_4$ solution?
  1. 5.0
  2. 2.3
  3. 3.3
  4. 2.0

Solution

$\begin{aligned} & \mathrm{H}_2 \mathrm{SO}_4 \longrightarrow 2 \mathrm{H}^{+}+\mathrm{SO}_4^{2-} \\ & {\left[\mathrm{H}_2 \mathrm{SO}_4\right]=0.005 \mathrm{M}} \\ & {\left[\mathrm{H}^{+}\right]=2 \times 0.005=0.01 \mathrm{M}} \\ & \mathrm{pH}=-\log \left[\mathrm{H}^{+}\right]=-\log 0.01 \\ & \mathrm{pH}=2\end{aligned}$

Asked in: MHT CET 2021 (24 Sep Shift 2)

Practice more Ionic Equilibria questions on Aicharya