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27 June, 18:07

Calculate the mole fraction of MgCl2 in a solution created by dissolving 132.1g of MgCl2 in 175mL of water.

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  1. 27 June, 21:31
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    Mol fraction MgCl2 = 0.125

    Explanation:

    Step 1: Data given

    Molar mass MgCl2 = 95.21 g/mol

    Mass of MgCl2 = 132.1 grams

    Volume of water = 175 mL

    Density of water = 1g/mL

    Molar mass H2O = 18.02 g/mol

    Step 2: Calculate mass of water

    Mass water = 1g/mL * 175 mL

    Mass of water = 175 grams

    Step 3: Calculate moles H2O

    Moles H2O = mass H2O / molar mass H2O

    Moles H2O = 175.0 grams / 18.02 g/mol

    Moles H2O = 9.711 moles

    Step 4: Calculate moles MgCl2

    Moles MgCl2 = 132.1 grams / 95.21 g/mol

    Moles MgCl2 = 1.387 moles

    Step 5: Calculate total moles

    Total moles = 9.711 moles + 1.387 moles

    Total moles = 11.098 moles

    Step 5: calculate mol fraction

    Mol fraction water = 9.711 moles / 11.098 moles = 0.875

    Mol fraction MgCl2 = 1.387 moles / 11.098 moles = 0.125

    0.875 + 0.125 = 1
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