Equilibrium Question 789

Question: The solubility of $ PbI_2 $ at $ 25{}^\circ C $ is $ 0.7g{L^{-1}} $ . The solubility product of $ PbI_2 $ at this temperature is (molar mass of $ PbI_2=461.2gmo{l^{-1}} $ )

Options:

A) $ 1.40\times {10^{-9}} $

B) $ 0.14\times {10^{-9}} $

C) $ 140\times {10^{-9}} $

D) $ 14.0\times {10^{-9}} $

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Answer:

Correct Answer: D

Solution:

$ PbI_2\rightarrow \underset{s}{\mathop{P{b^{++}}}},+\underset{2s}{\mathop{2{I^{-}}}}, $

$ K _{sp}=s\times {{(2s)}^{2}}=4s^{3} $

$ =4\times {{( \frac{0.7}{461.2} )}^{3}}=14.0\times {10^{-9}} $



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