What is the $\mathrm{pH}$ of the $\mathrm{NaOH}$ solution when $0.04 \mathrm{~g}$ of it dissolved in water…

What is the $\mathrm{pH}$ of the $\mathrm{NaOH}$ solution when $0.04 \mathrm{~g}$ of it dissolved in water and made to $100 \mathrm{~mL}$ solution?
  1. $2$
  2. $1$
  3. $13$
  4. $12$

Solution

Molecular mass of $\mathrm{NaOH}=23+16+1=40$ $\begin{aligned} & \text { Molarity }=\frac{\text { Mass of solute (in } \mathrm{g})}{\text { Molecular mass of the solute }} \\ & \times \text { Volume of solution (in L) } \\ & =\frac{0.04 \times 1000}{40 \times 100}=10^{-2} \\ & \mathrm{OH}^{-}=10^{-2} \mathrm{~mol} / \mathrm{L} \\ & \text { So, } \mathrm{pOH}=-\log \left[\mathrm{OH}^{-}\right] \\ & \mathrm{pOH}+\mathrm{pH}=14 \text { or } \mathrm{pH}=14-2=12 \\ & \end{aligned}$

Asked in: AP EAMCET 2015

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