Question

How many litres of 45 %( mass/volume) sugar solution would take it to get 225g of sugar?

Answer 1

Given:-

→ Mass of sugar [solute] = 225g

→ Concentration of the solution

[m/v %] = 45%

To find:-

→ Volume of solution [in L]

Solution:-

Let the required volume of the solution be x mL. We will later convert the volume from mL to L.

Here, mass of solute and concentration is given and we have to calculate the volume of the solution.

We know that :-

Concentration of a solution [m/v %] :-

= Mass of solute/Vol.of solution × 100

By subustituting the values in the above formula, we get :-

=> 225/x ×100 = 45

=> 22500 = 45x

=> x = 22500/45

=> x = 500mL

Now :-

=> 1mL = 0.001L

=> 500mL = 500(0.001)

=> 0.5L

Thus, the required volume of sugar solution is 0.5L .