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Equilibrium

Question
CBSEENCH11006609

At a certain temperature, the solubility product of AgCl is 1 × 10–10, calculate the solubility of AgCl in g/litre.

Solution

Let the solubility of AgCl be S mole litre
AgCl space space space space space space rightwards harpoon over leftwards harpoon space space space space space space space space space space Ag to the power of plus space space space plus space space Cl to the power of minus
straight S space mol space space space space space space space space space space space space space space space space space space straight S space mol space space space space space space space straight S space mol
Applying the law of solubility product, 
space space space space space space space straight K subscript ap space equals space open square brackets Ag to the power of plus close square brackets space open square brackets Cl to the power of minus close square brackets space equals space straight S space cross times space straight S
or space space space space straight S squared space equals space straight K subscript sp
or space space space straight S space equals space square root of straight S subscript sp end root space equals space square root of 1 space cross times space 10 to the power of negative 10 end exponent end root
space space space space space space space space equals space 1 cross times space 10 to the power of negative 5 end exponent space mol space straight L to the power of negative 1 end exponent
Molecular mass of AgCl
                  = 108 + 35.5 = 143.5 
Hence solubility of AgCl
  = 143.5 x 1 x 10-5 g L-1
  = 14.35 x 10-4 g L-1