Equilibrium Ques 56

56. What is the $H^{+}$ion concentration of a solution prepared by dissolving $4$ $ g$ of $NaOH$ (Atomic weight of $Na=23$ $ amu$ ) in $1000 $ $mL$ ?

[1999]

(a) $10^{-10} $ $M$

(b) $10^{-4} $ $M$

(c) $10^{-1} $ $M$

(d) $10^{-13} $ $M$

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Answer:

Correct Answer: 56.(d)

Solution:

  1. (d) No. of moles of $NaOH=\frac{4}{40}=0.1$

[Molecular weight of $NaOH=40$ ]

No. of moles of $OH^{-}=0.1$

Concentration of $OH^{-}=\frac{0.1}{1 \text{ litre }}=0.1 $ $mol / L$

As we know that, $[H^{+}][OH^{-}]=10^{-14}$

$ \therefore[H^{+}]=10^{-13} \quad(\because[OH^{-}]=10^{-1}) $