Question

What quantity of water should be added to 3 litres of 10% solution of salt , so that it becomes a 5% salt solution ?

Answer 1

Answer:

3 litres

Step-by-step explanation:

water which is to be added has 0% salt concentration.

so final concentration of solution is 5%.

Answer 2

16.6 liters of water should be added.

Step-by-step explanation:

Since there is 10% solution of salt i.e.

Ratio of salt to water is given by

$10:90\\\\=1:9$

Total quantity of salt = $\dfrac{1}{10}\times 3=0.3$

Total quantity of water = $\dfrac{9}{10}\times 3=2.7\ ltrs$

According to question, we get that

$\dfrac{0.3}{2.7+x}=\dfrac{5}{95}=\dfrac{1}{19}\\\\19\times 0.3=2.7+x\\\\19.3=2.7+x\\\\19.3-2.7=x\\\\16.6=x$

Hence, 16.6 liters of water should be added.