16. To make a 100 litre solution of acid 40% from 50%. How
much water must added ?
(1) 50 litre
(2) 75 litre (3) 15 litre
(4) 10 litre
(5) 25 litre
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Answer:
Let Ma = Mw = 50 l
Ma / (100 + x) = .4 where x is the water added
(Mw + x) / (100 + x) = .6 the solution is now 60% water
Mw + x / Ma = 1.5 dividing the second equation by the first
Mw + x = 1.5 Ma
x = 1.5 Ma - Mw = 1.5 * 50 - 50 = 25 since Mw = Ma = 50
So 25 liters of water must be added
Check: 50 / 125 = .4 and 75 / 125 = .5
This is assuming that you started with 100 liters - The problem does
not make this very clear
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