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23 June, 08:50

A mixture contains methane (CH4), ethane (C2H6), and propane (C3H8). The mixture contains 25.9% methane, 31.4% ethane, and the balance propane by mass. Converting the mass percents to mole fractions for all three components gives:

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  1. 23 June, 10:35
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    Mol fraction methane = 0.4453

    Mol fraction ethane = 0.2878

    Mol fraction propane = 0.2669

    Explanation:

    Step 1: Data given

    Suppose the mass of the mixture = 100 grams

    The mixture contains:

    25.9 % methane = 25.9 grams

    31.4 % ethane = 31.4 grams

    propane = 100 - 25.9 - 31.4 = 42.7 grams

    Molar mass of methane = 16.04 g/mol

    Molar mass of ethane = 30.07 g/mol

    Molar mass of propane = 44.1 g/mol

    Step 2: Calculate moles

    Moles = mass / molar mass

    Moles methane = 25.9 grams / 16.04 g/mol

    Moles methane = 1.615 moles

    Moles ethane = 31.4 grams / 30.07 g/mol

    Moles ethane = 1.044 moles

    Moles propane = 42.7 grams / 44.1 g/mol

    Moles propane = 0.968 moles

    Step 3: Calculate total moles

    Total moles = moles methane + moles ethane + moles propane

    Total moles = 1.615 + 1.044 + 0.968

    Total moles = 3.627 moles

    Step 4: Calculate mo lfraction

    Mol fraction = mol component / total moles

    Mol fraction methane = 1.615 moles / 3.627 moles

    Mol fraction methane = 0.4453

    Mol fraction ethane = 1.044 moles / 3.627 moles

    Mol fraction ethane = 0.2878

    Mol fraction propane = 0.968 moles / 3.627 moles

    Mol fraction propane = 0.2669
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