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22 December, 18:05

The solubility product constant of calcium sulfate, CaSO4, is 7.10*10-5. Its molar mass is 136.1 g/mol. How many grams of calcium sulfate can dissolve in 69.0 L of pure water?

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  1. 22 December, 20:54
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    Given:

    Ksp of CaSO4 = 7.10 * 10⁻⁵

    Molar mass of CaSO4 = 136.1 g/mol

    Volume of the solvent = 69.0 L

    To determine:

    The grams of CaSO4 that would dissolve in 69.0 L of solvent

    Explanation:

    CaSO4 (s) ↔ Ca2 + (aq) + SO42 - (aq)

    Ksp = [Ca2+][SO42-]

    Let 's' be the solubility i. e. moles of CaSO4 dissolved in a given volume of water

    Therefore,

    Ksp = (s) (s)

    s = √Ksp = √7.10 * 10⁻⁵ = 8.43 * 10⁻³ moles/lit

    i. e 0.00843 moles of CaSO4 can dissolve in 1 L of water

    Therefore, # moles that can dissolve in 69.0 L = 0.00843 * 69.0 = 0.582 moles of CaSO4

    The corresponding mass of CaSO4 = 0.582 moles * 136.1 g/mole = 79.21 g

    Ans: 79.2 g of CaSO4 can dissolve in 69.0 L of water
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