Question

How many grams of a
14.8% sugar solution contain 55.0 g of sugar?

Answer 1

Mass concentration can be expressed as:

$w=\frac{m_{sugar}}{m_{solution}}*100\%$

Thus, the mass of solution is:

$m_{solution}=\frac{m_{sugar}*100\%}{w}=\frac{55.0g*100\%}{14.8\%}=371.6g$

Finally, we can say that 371.6 g of a given solution contains 55.0 g of sugar.