Answer:
the mass of calcium sulfate that can be dissolved = 47.64 grams
Explanation:
Ksp of CaSO₄ = 7.10X10⁻⁵
The expression for Ksp will be:
Ksp = [Ca⁺²][SO₄⁻²]
Let solubility of CaSO₄ = s
Therefore
[Ca⁺²] = [SO₄⁻²]=s
Ksp = s² = 7.10X10⁻⁵
s = 8.43 X10⁻³ mol/L
this is the solubility thus this is the moles of calcium sulfate that can be dissolved per litre of pure water.
So the moles that can be dissolved in 41.5 L of water
= 8.43 X10⁻³X41.5 = 0.35 moles
the mass of calcium sulfate that can be dissolved = moles X molar mass
the mass of calcium sulfate that can be dissolved = 0.35X136.1 = 47.64 grams