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Need help with calculating the water of crystallization?

A hydrate of calcium sulfate , CaSO4 XH2O contains 20.9%water. Calculate the water of crystallization (X) and write the formula of the hydrate. Please HELP!

Update:

where did you get the 5?

6 Answers

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  • 9 years ago
    Favorite Answer

    The game plan with these is to figure out the number of moles of H2O there are per mole of CaSO4. Start by assuming any quantity of CaSO4 X H2O.

    Assume 100.0 g of CaSO4 XH2O.

    20.9 % of that = 20.9 g

    That is the mass of water.

    1 mole of water = 18.0 g

    20.9 g x 1 mol/18.0 g = 1.16 mol H2O

    100 % - 20.9 % = 79.1 % CaSO4

    79.1 g is the mass of CaSO4

    1 mole of CaSO4 = 40.1 + 32.1 + 4(16.0) = 136.2 g

    79.1 g x 1 mol / 136.2 g = 0.581 mol CaSO4

    Now calculate the ratio of mol H2O to mol CaSO4

    1.16 / 0.581 = 2.00

    So X = 2

  • ?
    Lv 5
    9 years ago

    mw of CaSO4 is 136.14 g/mol (anhydrous)

    100 g CaSO4 XH2O have 20.9 g of water(mw is 18) or 1.16 mol; and 79.1 g CaSO4 or 0.581 mol, so the mol relation is approx 1:2 that means x=2

    CaSO4 *2H2O

  • monzo
    Lv 4
    5 years ago

    Water Of Crystallisation

  • Anonymous
    9 years ago

    CaSO4 weighs 136

    H2O weighs 18

    xH2O weighs 18x

    .209 = 18x/(136 +18x)

    136 +18x ~ 5*18x

    136 = (90-18) x

    136 = 72 x

    x = 2

    CaSO4*2H2O

    Source(s): Soc
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  • Anonymous
    6 years ago

    magnesium sulphate with water crystallization loses 48.85% of its mass on heating between 102 and 302 degrees celcius in a single step.calculate the value of x (an interger)

  • John W
    Lv 7
    9 years ago

    Let % = grams Grams H2O = 20.9 moles = 20.9 / 18 = 1.16

    CaSO$ = 100 - 20.9 = 79.1% = g Moles = 79.1 / 136 = 0.581

    Ratio is 1.16 to 0 581 = 2 to1

    Formula = CaSO4.2H2O

    Source(s): Teacher
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