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27 May, 01:25

he Food and Drug Administration (FDA) mandates that all vinegar sold in the United States must have a minimum concentration of 4% acetic acid by mass. Calculate the minimum molarity of acetic acid in vinegar according to this standard. Assume the density of vinegar is the same as for water.

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  1. 27 May, 03:50
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    We assume that we have 1 L of vinegar solution. Another assumption, as the problem says, is that the vinegar have the same density as water which is approximative 1000 g/L.

    mass of vinegar solution = density * solution volume

    mass of vinegar solution = 1000 * 1 = 1000 g

    mass of acetic acid = (4 / 100) * solution mass

    mass of acetic acid = (4 / 100) * 1000

    mass of acetic acid = 40 g

    number of moles of acetic acid = mass / molecular mass

    number of moles of acetic acid = 40 / 60

    number of moles of acetic acid = 0.66

    molar concentration of vinegar solution = number of moles of acetic acid / solution volume (L)

    molar concentration of vinegar solution = 0.66 / 1 = 0.66 M
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