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Question: The solubility of silver chromate in 0.01 M \(K_{2}CrO_{4}\) is \(2 \times 10^{- 8}moldm^{- 3}\). Th...

The solubility of silver chromate in 0.01 M K2CrO4K_{2}CrO_{4} is 2×108moldm32 \times 10^{- 8}moldm^{- 3}. The solubility product of silver chromate will be.

A

8×10248 \times 10^{- 24}

B

16×102416 \times 10^{- 24}

C

1.6×10181.6 \times 10^{- 18}

D

16×101816 \times 10^{- 18}

Answer

16×101816 \times 10^{- 18}

Explanation

Solution

Ksp=[Ag+]2[Cro4]=[2S]2[0.01]K_{sp} = \lbrack Ag^{+}\rbrack^{2}\lbrack Cro_{4}^{- -}\rbrack = \lbrack 2S\rbrack^{2}\lbrack 0.01\rbrack

=4S2[0.01]=4[2×108]2×0.01=16×10184S^{2}\lbrack 0.01\rbrack = 4\lbrack 2 \times 10^{- 8}\rbrack^{2} \times 0.01 = 16 \times 10^{- 18} .