Kamal prepared 300 g of 20% (w/w) aqueous solution of common salt. Teacher asked him to make the concentration of solution 5% (w/w). Calculate the amount of water that should be added to the solution and choose the correct option.
Answers
Answer:
900g
Explanation:
x÷300×100=60
x=60
now,
adding y to make concentration 5 percent
60÷300+y×100=5
60÷300+y=5÷100
300+y÷60=100÷5
300+y=1200
y=1200-300
y=900g
Given info : Kamal prepared 300 g of 20% (w/w) aqueous solution of common salt. Teacher asked him to make the concentration of solution 5% (w/w).
To find : the amount of water that should be added to the solution is ...
solution : Kamal prepared 300g of 20% (w/W) aqueous solution of common salt.
now the mass of common salt = 20 % of 300g = 60g
now the teacher asked him to make the concentration of solution is 5 %.
it means, he should dilute the solution by adding water.
let x g amount of water to the solution.
after adding, mass of solution = (300 + x) g
but the mass of common salt remains constant and that is 60 g
now the percentage of common salt in the solution = 5 % [given]
⇒ mass of common salt/mass of solution × 100 = 5
⇒ 60/(300 + x) = 1/20
⇒ 1200 = 300 + x
⇒ x = 900 g
therefore 900g of water should be added to the solution to make it 5% (w/W).