$\mathrm{NaOH}$ is a strong base. What will be $\mathrm{pH}$ of $5.0 \times 10^{-2} \mathrm{M}…

$\mathrm{NaOH}$ is a strong base. What will be $\mathrm{pH}$ of $5.0 \times 10^{-2} \mathrm{M} \mathrm{NaOH}$ solution ? $(\log 2=0.3)$
  1. $14.00$
  2. $13.70$
  3. $13.00$
  4. $12.70$

Solution

Given $\left[\mathrm{OH}^{-}\right]=5 \times 10^{-2}$ $ \begin{aligned} & \therefore \mathrm{pOH}=-\log 5 \times 10^{-2} \\ & \quad \quad=-\log 5+2 \log 10=1.30 \\ & \because \mathrm{pH}+\mathrm{pOH}=14 \\ & \because \mathrm{pH}=14-\mathrm{pOH} \\ & \quad=14-1.30=12.70 \end{aligned} $

Asked in: JEE Main 2013 (22 Apr Online)

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