Question

If you needed to make 100 ml of a 0.2 m fruit drink solution from the 1.0 m fruit drink

solution, how would you do it? (hint: use mv = m.va to find the amount of
concentrated solution you need, then add water to reach 100 ml.) show your work.

Answer 1

Here are the step-by-step workings:

Given:

Concentrated solution concentration = 1.0 m

Required solution concentration = 0.2 m

Required total volume = 100 ml

Using the equation m1V1 = m2V2:

m1 = initial concentration = 1.0 m

V1 = volume of concentrated solution needed

m2 = final concentration = 0.2 m

V2 = final volume = 100 ml

Plugging into the equation:

1.0 V1 = 0.2 * 100

V1 = (0.2 * 100) / 1.0

= 20 ml

So we need 20 ml of the 1.0 m concentrated solution.

Then we add water to reach the final volume of 100 ml.

Total volume of concentrated solution needed = 20 ml

Total volume of water needed = 100 - 20

= 80 ml

Therefore, to make 100 ml of 0.2 m fruit drink solution from the 1.0 m concentrated solution,

we need:

20 ml of the 1.0 m concentrated solution

plus

80 ml of water

to reach a total volume of 100 ml.