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QUESTION

If 12 ounces of a liquid has a mass of 317 g, what is the density of the liquid in grams per cubic centimeter?

The is ##"0.89 g/cm"^3"##.

##"1 fluid oz=29.5735 mL"##

##"1 mL=1cm"^3"##

To convert fluid ounces (fl oz) to cubic centimeters ##("cm"^3")##, multiply fl oz times ##29.5735"mL/fl oz"##.

##12cancel"fl oz"xx(29.5735"mL")/(1cancel"fl oz")="354.882 mL"##

Since ##"1 mL=1 cm"^3"##, we know that ##"354.882 mL=354.882 cm"^3"##

Density is the mass per unit volume of a substance. The density equation is:

##"density"=("mass")/("volume")##

Substitute known values into the density equation and solve.

##"density"=(317"g")/(354.882"cm"^3)="0.89 g/cm"^3"## (rounded to two due to ##"12 fl oz"##)

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