Question

How many litres of 15% ( mass / volume ) sugar solution would it take to get 75g of sugar?

Answer 1

let water be X
solution be 75+X
15%(75+X)=75
75+X=75*100/15
X=500
X=500-75=425

Answer 2

Answer:

0.5 Liter

Explanation:

Mass/volume concentration: It is a concentration term which tells us how many grams of solute is present in 100 milliliters of solution.

Given:

• Mass/volume % = 15

• Mass of the sugar = 75 g

So, let us assume that the volume of water required for the given mass of sugar be V.

Using the formula of mass/volume percentage concentration, we have

$\dfrac{\textrm{Mass of solute in gram}}{\textrm{Volume of water in mL}}\times 100=mass/volume\ \%$

$\Rightarrow \dfrac{75}{V}\times 100=15\\\Rightarrow V = \dfrac{75\times 100}{15}\\\Rightarrow V =500\ mL\\\Rightarrow V =0.5\ L$

Hence, 0.5 L of water is required.