If a solution has a #40%# mass (in grams)to volume (in milliliters) ratio; what will be the volume corresponding to a mass of 70 grams?

1 Answer
Jun 29, 2016

Answer:

Solute volume # = color(blue)(175 " milliliters")#

Explanation:

#40%# mass/volume solution can be thought of as the ratio
#color(white)("XXX")(40 " mass units")/(100 " volume units")#

If the #"mass units"# are #"grams"#
and the #"volume units"# are #"milliliters"#

then we are looking for a number, #x#, of liters such that
#color(white)("XXX")(40 " grams")/(100" milliliters")= (70" grams")/(x" milliliters")#

#color(white)("XXX")rarr x" milliliters"=(70 cancel(" grams"))/(40 cancel(" grams"))xx100" milliliters"#

#color(white)("XXX")rarr x " milliliters" = 175 " milliliters"#