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