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Question: Arrange the following in increasing order of solubility product: $Ca(OH)_2$, AgBr, PbS, HgS...

Arrange the following in increasing order of solubility product:

Ca(OH)2Ca(OH)_2, AgBr, PbS, HgS

A

PbS < HgS < Ca(OH)2Ca(OH)_2 < AgBr

B

HgS < AgBr < PbS < Ca(OH)2Ca(OH)_2

C

HgS < PbS < AgBr < Ca(OH)2Ca(OH)_2

D

Ca(OH)2Ca(OH)_2 < AgBr < HgS < PbS

Answer

HgS < PbS < AgBr < Ca(OH)2Ca(OH)_2

Explanation

Solution

Known approximate Kₛₚ values:

  • Ca(OH)2Ca(OH)_2: ≈10⁻⁶
  • AgBr: ≈10⁻¹³
  • PbS: ≈10⁻²⁸
  • HgS: ≈10⁻⁵⁴

In increasing order (lowest Kₛₚ means lower solubility):

HgS<PbS<AgBr<Ca(OH)2\text{HgS} < \text{PbS} < \text{AgBr} < \text{Ca(OH)}_2

Thus, the correct answer is Option C.