What is the $\mathrm{pH}$ of solution containing $4.62 \times 10^{-4} \mathrm{M} \mathrm{H}^{+}$ions?

What is the $\mathrm{pH}$ of solution containing $4.62 \times 10^{-4} \mathrm{M} \mathrm{H}^{+}$ions?
  1. 8.62
  2. 4.64
  3. 5.66
  4. 3.34

Solution

$\begin{aligned} \mathrm{pH} & =-\log _{10}\left[\mathrm{H}^{+}\right] \\ & =-\log _{10}\left(4.62 \times 10^{-4}\right) \\ & =-\left[\log _{10} 4.62+\left(\log _{10} 10^{-4}\right)\right] \\ & =-[0.6646-4] \\ & =3.3354\end{aligned}$

Asked in: MHT CET 2023 (13 May Shift 2)

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