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Question: Which is the correct representation of the solubility product constant of \(\mathrm { Ag } _ { 2 } ...

Which is the correct representation of the solubility product constant of Ag2CrO4\mathrm { Ag } _ { 2 } \mathrm { CrO } _ { 4 } .

A

[Ag+]2[CrO42]\left[ \mathrm { Ag } ^ { + } \right] ^ { 2 } \left[ \mathrm { CrO } _ { 4 } ^ { - 2 } \right]

B

[Ag+][CrO42]\left[ \mathrm { Ag } ^ { + } \right] \left[ \mathrm { CrO } _ { 4 } ^ { - 2 } \right]

C

[2Ag+][CrO42]\left[ 2 \mathrm { Ag } ^ { + } \right] \left[ \mathrm { CrO } _ { 4 } ^ { - 2 } \right]

D

[2Ag+]2[CrO42]\left[ 2 \mathrm { Ag } ^ { + } \right] ^ { 2 } \left[ \mathrm { CrO } _ { 4 } ^ { - 2 } \right]

Answer

[Ag+]2[CrO42]\left[ \mathrm { Ag } ^ { + } \right] ^ { 2 } \left[ \mathrm { CrO } _ { 4 } ^ { - 2 } \right]

Explanation

Solution

Ag2CrO4\mathrm { Ag } _ { 2 } \mathrm { CrO } _ { 4 }[2Ag+]+[CrO4]\left[ 2 \mathrm { Ag } ^ { + } \right] + \left[ \mathrm { CrO } _ { 4 } ^ { - - } \right]

Hence Ksp=[Ag+]2[CrO4]\mathrm { K } _ { \mathrm { sp } } = \left[ \mathrm { Ag } ^ { + } \right] ^ { 2 } \left[ \mathrm { CrO } _ { 4 } ^ { - - } \right]