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

1 Answer
Jan 31, 2016

Answer:

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

Explanation:

#"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 significant figures due to #"12 fl oz"#)