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JEE Mains · Chemistry · STD 11 - 6.2. Equilibrium - II (icon Equilibrium)

x mg of \(\mathrm{Mg}(\mathrm{OH})_2(\) molar mass \(=58)\) is required to be dissolved in 1.0 L of water to produce a pH of 10.0 at 298 K. The value of x is ________ mg. (Nearest integer)
(Given : \(\mathrm{Mg}(\mathrm{OH})_2\) is assumed to dissociate completely in \(\mathrm{H}_2 \mathrm{O}\))

  1. A 3
  2. B 4
  3. C 5
  4. D 6
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Answer & Solution

Correct Answer

(A) 3

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \mathrm{pH}=10 \\ & \mathrm{pOH}=4 \\ & {\left[\mathrm{OH}^{-}\right]=10^{-4}} \end{aligned}\) no. of moles of \(\mathrm{OH}^{-}=10^{-4}\) no. of moles of \(\operatorname{Mg}(\mathrm{OH})_2=\frac{10^{-4}}{2}=5 \times 10^{-5}\)…
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