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The solubility product of AgBr is 5.2 × 10−13 Calculate its solubility in mol dm−3 and g dm−3 (Molar mass of AgBr = 187.8g mol−1) -

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Question

The solubility product of AgBr is 5.2 × 10−13 Calculate its solubility in mol dm−3 and g dm−3 (Molar mass of AgBr = 187.8g mol−1)

Sum

Solution

The solubility product of AgBr is:

AgBr(s) ⇌ Ag+(aq) + Br(aq)

x = 1, y = 1

Ksp = [Ag+][Br] = S

`"S" = sqrt ("K"_(sp)) = sqrt (5.2 × 10^(−13))` 

= 7.2 × 10−7 Mol dm−3 

The solubility in g dm−3  = molar solubility in mol dm−3 × molar mass g mol−1 

S = 7.2 × 10−7 mol dm−3 × 187.8 g mol−1 

= 1.35 × 10−4 g dm−3

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