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18 October, 07:03

1.20g of methyl alcohol, CH3OH, are dissolved in 16.8g of water, H2O. What is the mole fraction of the solute?

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Answers (2)
  1. 18 October, 07:06
    0
    0.0386

    Explanation:

    To make a solution, we need a certain amount of the solute to be dissolved in the solvent. The solvent is the carrier medium usually water in traditional wet chemistry.

    Now, in this particular question, it should be known that methyl alcohol is the solute, while water is the solvent.

    We need to calculate the mole fraction of the solute as asked by the question. Now what we do is to find the number of moles of each, add together, then divide the number of moles of methyl alcohol by the sum of the moles of both.

    Firstly, we calculate the number of moles of methyl alcohol present. This is mathematically equal to dividing mass by molar mass

    Molar mass of methyl alcohol (CH3OH) is 12 + 4 (1) + 16 = 32g/mol

    The number of moles is thus 1.2/32 = 0.0375 moles

    Now, we calculate the number of moles of water. The molar mass of water is 18g/mol

    The number of moles of water is thus 16.8/18 = 0.93333

    The mole fraction of the solute is thus:

    0.0375 / (0.0375 + 0.9333) = 0.0386
  2. 18 October, 07:28
    0
    The mole fraction of the solute, methyl alcohol, is 0.0387

    Explanation:

    Step 1: Data given

    Mass of methyl alcohol = 1.20 grams

    Molar mass of methyl alchol = 32.04 g/mol

    Mass of water = 16.8 grams

    Molar mass of water = 18.02 g/mol

    Step 2: Calculate number of moles of methyl alcohol

    Number of moles methyl alcohol = Mass / molar mass

    Number of moles methyl alcohol = 1.20 grams / 32.04 grams

    Number of moles methyl alcohol = 0.0375 moles

    Step 3: Calculate number of moles of water

    Moles H2O = 16.8 grams / 18.02 g/mol

    Moles H20 = 0.932 moles

    Step 4: Calculate total number of moles

    Total number of moles = moles CH3OH + moles H2O = 0.0375 moles + 0.932 moles = 0.9695 moles

    Step 5: Calculate mole fraction of the solute

    Solute = methyl alchol

    (Solvent = water)

    Mole fraction = 0.0375 moles / 0.9695 moles

    Mole fraction = 0.0387

    The mole fraction of the solute, methyl alcohol, is 0.0387
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