What is the minimum volume of water required to dissolve 1g of calcium sulphate at 298 K? (For calcium sulphate, Ksp is 9.1 × 10–6).

Given:

For calcium sulphate, Ksp is 9.1 × 10–6


Ionization of calcium sulphate


CaSO4Ca2+ + SO42-


As we know that, Ksp = [A+] [B-]


In the above reaction,


[A+] = Ca2+


[B-] = SO42-


Ksp = [Ca2+] [SO42-]


Let the solubility of calcium sulphate is x.


So, Ksp = x2


9.1×10-6=x2


x=3.02×10-3


As molar mass of CaSO4 is :


40 +32 + 4× 16


40+32+64


136g/mol.


Solubility of calcium sulphate in g/mol is


=3.02×10-3×136


=0.41 g/L


Thus, for dissolving 0.41g, water required = 1L


for dissolving 1g, water required = L


2.44L


Thus, minimum volume of water required to dissolve 1 g of CaSO4 is 2.44L


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