Question

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?

Answer 1

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"`