NEET Solved Paper 2017 Question 14

Question: Concentration of the $ A{g^{+}} $ ions in a saturated solution of $ Ag _2C _2O _4 $ is $ 2.2\times {10^{-4}},mol,{L^{-1}}. $ Solubility product of $ Ag _2C _2O _4 $ is

Options:

A) $ 5.3\times 10^{12} $

B) $ ~2.42\times 10^{8} $

C) $ 2.66\times 10^{12} $

D) $ ~4.5\times 10^{11} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ Ag _2C _2O _4(s)\underset{2s}{\mathop{2A{g^{+}}(aq)}},+\underset{s}{\mathop{C _2O_4^{2-}(aq)}}, $ $ K _{sp}={{[A{g^{+}}]}^{2}}[C _2O _4^{2-}] $ $ [A{g^{+}}]=2.2\times {10^{-4}}M $
    $ \therefore $ $ K _{SP}={{(2.2\times {10^{-4}})}^{2}}(1.1\times {10^{-4}}) $ $ =5.324\times {10^{-12}} $