Equilibrium Question 191
Question: At $ 20^{o}C, $ the $ A{g^{+}} $ ion concentration in a saturated solution of $ Ag_2CrO_4 $ is $ 1.5\times {10^{-4}},mole/litre. $ At $ 20^{o}C, $ the solubility product of $ Ag_2CrO_4 $ would be [MP PET 1997; MP PMT 1999]
Options:
A) $ 3.3750\times {10^{-12}} $
B) $ 1.6875\times {10^{-10}} $
C) $ 1.6875\times {10^{-12}} $
D) $ 1.6875\times {10^{-11}} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ AgCrO_4 $ ⇌ $ \underset{{{(2S)}^{2}}}{\mathop{2A{g^{+}}}},+\underset{S,}{\mathop{CrO_4^{-}}}, $
$ K _{sp}=4S^{3} $ given $ 2S=1.5\times {10^{-4}} $
$ \therefore ,K _{sp}={{(2S)}^{2}}\times S $
$ ={{(1.5\times {10^{-4}})}^{2}}\times ( \frac{1.5\times {10^{-4}}}{2} ) $
$ =1.6875\times {10^{-12}} $
