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pH of a strong base solution, or amount of base needed for a given pH

This type of question, asked 4 times: 2021 Paper 15, 27 Jun 2022, 29 Jan 2023, 4 Apr 2025. All 4 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 15

    31
    [Ba(OH)2]=5×10−3\left\lbrack Ba(OH)_{2} \right\rbrack= 5 \times10^{- 3}, It dissociates completely, Find the conc of H3O+H_{3}O^{+}.

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  2. Question 2

    27 Jun 2022

    146
    pHpH value of 0.001MNaOH0.001MNaOH solution is

  3. Question 3

    29 Jan 2023

    51
    Millimoles of calcium hydroxide required to produce 100 mL100\text{ }mL of the aqueous solution of pH 12 is x×10−1x \times 10^{-1}. The value of xx is (Nearest integer). Assume complete dissociation.

  4. Question 4

    4 Apr 2025

    125
    x mgx\ mg of Mg(OH)2Mg(OH)_{2} (molar mass =58= 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 xx is ____\_\_\_\_ mg. (Nearest integer) (Given : Mg(OH)2Mg(OH)_{2} is assumed to dissociate completely in H2OH_{2}O )