Easy INTEGER +4 / -1 PYQ · JEE Mains 2023

Millimoles of calcium hydroxide required to produce 100 mL of the aqueous solution of pH 12 is $x\times10^{-1}$. The value of $x$ is ___________ (Nearest integer).

Assume complete dissociation.

Answer (integer) 5

Solution

$$ \begin{aligned} & \mathrm{pH}=12, \\\\ & \mathrm{pH}+\mathrm{pOH}=14 \\\\ & \mathrm{pOH}=14-12=2 \\\\ & {\left[\mathrm{OH}^{-}\right]=10^{-2} \mathrm{~mol} \mathrm{~L}} \\\\ & \underset{5 \times 10^{-3}}{\mathrm{Ca}(\mathrm{OH})_2} \longrightarrow \underset{5 \times 10^{-3}}{\mathrm{Ca}^{2+}}+\underset{10^{-2}}{2 \mathrm{OH}^{-}} \end{aligned} $$ <br/><br/>Moles of $\mathrm{Ca}(\mathrm{OH})_2$ in $1000 \mathrm{~mL}=5 \times 10^{-3}$ <br/><br/>Millimoles in $100 \mathrm{~mL}=5 \times 10^{-1}$

About this question

Subject: Chemistry · Chapter: Equilibrium · Topic: Chemical Equilibrium and Kc, Kp

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