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9 April, 06:41

Wine is approximately 12% ethanol (CH3CH2OH) by volume. Ethanol has a molar mass of 46.06 g/mol and a density 0.789 g/mL. How many moles of ethanol are present in a 750-mL bottle of wine?

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  1. 9 April, 06:50
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    1.54 moles of pure ethanol are present in 750mL of wine

    Explanation:

    The sort of concentration 12% by volume, means that in 100 mL of solution (wine) 12 mL are pure ethanol

    We use the density of pure ethanol to determine the mass:

    Ethanol density = Ethanol mass / Ethanol volume

    Ethanol density. Ethanol volume = Ethanol mass

    0.789 g/mL. 12 mL = 9.47 g of ethanol

    Now we can determine the moles: 9.47 g. 1 mol / 46.06 g = 0.205 moles

    Now we can make a rule of three:

    In 100 mL of solution (wine) we have 0.205 moles of pure ethanol

    Then, in 750 mL of solution we may have (750 mL. 0.205) / 100 = 1.54 moles
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