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10 October, 14:26

Calculate the mole fraction of each component in a solution with 6.87 g of sodium chloride (NaCl) dissolved in 65.2 g of water. Work must be shown in order to earn credit.

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  1. 10 October, 15:30
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    mole fraction of NaCl = 0.03145.

    mole fraction of water = 0.9686.

    Explanation:

    Mole fraction is an expression of the concentration of a solution or mixture. It is equal to the moles of one component divided by the total moles in the solution or mixture. The summation of mole fraction of all mixture components = 1.

    mole fraction of NaCl = (no. of moles of NaCl) / (total no. of moles).

    no. of moles of NaCl = mass/molar mass = (6.87 g) / (58.44 g/mol) = 0.1176 mol.

    no. of moles of water = mass/molar mass = (65.2 g) / (18.0 g/mol) = 3.622 mol.

    ∴ mole fraction of NaCl = (no. of moles of NaCl) / (total no. of moles) = (0.1176 mol) / (0.1176 mol + 3.622 mol) = 0.03145.

    ∵ mole fraction of NaCl + mole fraction of water = 1.0.

    ∴ mole fraction of water = 1.0 - mole fraction of NaCl = 1.0 - 0.03145 = 0.9686.
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