A mass of mercury occupies 0.95 L. What volume would an equal mass of ethanol occupy? The density of mercury is 13.546 g/mL and the density of ethanol is .789 g/mL?

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    ##16 L##
    For a given substance its tells you the mass occupied by one unit of volume of that substance.
    In essence is a measure of how well the molecules of a substance are packed in a unit of volume. In your case the densities of the two substances are expressed in grams per milliliter which means that a unit of volume will be ##1 mL##.
    So mercury has a density of ##13.546 g/mL## which means that ##1 mL## of mercury will have a mass of ##13.546 g##. On the other hand ##1 mL## of ethanol will have a mass of ##0.789 g##.
    Your strategy here will be to use the density of mercury to find the mass that occupies ##0.95 L## then use the density of ethanol to find the volume that would have an equal mass.
    So you will have – don’t forget to convert the volume from liters to milliliters
    ##
    0.95 color(red)(cancel(color(black)(L))) * (10^3color(red)(cancel(color(black)(mL))))/(1color(red)(cancel(color(black)(L)))) * overbrace(13.546 g/(1color(red)(cancel(color(black)(mL)))))^(color(purple)(density of mercury)) = 12868.7 g##
    The volume of ethanol that will have an equal mass is
    ##12868.7 color(red)(cancel(color(black)(g))) * overbrace(1 mL/(0.789color(red)(cancel(color(black)(g)))))^(color(purple)(density of ethanol)) = 16310.1 mL##
    Rounded to two and expressed in liters the answer will be
    ##16310.1color(red)(cancel(color(black)(mL))) * 1 L/(10^3color(red)(cancel(color(black)(mL)))) = color(green)(16 L)##

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