Chemical And Ionic Equilibrium Result Question 31

31. The precipitate of $\mathrm{CaF}2,\left(K{\mathrm{sp}}=1.7 \times 10^{-10}\right)$ is obtained, when equal volumes of which of the following are mixed?

(1982, 1M)

(a) $10^{-4} \mathrm{M} \mathrm{Ca}^{2+}+10^{-4} \mathrm{M} \mathrm{F}^{-}$

(b) $10^{-2} \mathrm{M} \mathrm{Ca}^{2+}+10^{-3} \mathrm{M} \mathrm{F}^{-}$

(c) $10^{-5} \mathrm{M} \mathrm{Ca}^{2+}+10^{-3} \mathrm{M} \mathrm{F}^{-}$

(d) $10^{-3} \mathrm{M} \mathrm{Ca}^{2+}+10^{-5} \mathrm{M} \mathrm{F}^{-}$

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Answer:

Correct Answer: 31. ( b )

Solution:

  1. For precipitation reaction,,$\quad Q_{\mathrm{IP}} > K_{\text {sp }}$.

$\begin{aligned} Q_{\mathrm{IP}} & =\left[\mathrm{Ca}^{2+}\right]\left[\mathrm{F}^{-}\right]^2=\left(\frac{10^{-2}}{2}\right) \times\left(\frac{10^{-3}}{2}\right)^2 \\ & =1.25 \times 10^{-9} > K_{\text {sp }}, \text { precipitate will be formed. } \end{aligned}$