Answer:
18.3 pounds of water must evaporate to make it 8% solution
Step-by-step explanation:
Brine is a solution containing water & salt
Weight of brine solution = 50 pounds
amount of salts = 5% of 50 pounds = (5 ÷ 100) × 50 = 2.5 pounds.
Amount of water = 50 - 2.5 = 47.5 pounds
The new solution is to be made 8%, which indicates that 2.5 pounds of salt is going to be equivalent to 8% of the new salt and some amount of water has to be evaporated for the amount of salt to increase
Using direct relation expression
8% of the solution equivalent to 2.5 pounds of salt
100% will be equivalent to X pounds of solution
Upon cross multiplication,
X = (100 × 2.5) ÷ (8) = 31.25 pounds of solution
There amount of water that must evaporate is difference between weight of initial solution & final solution
Amount of water to be evaporated = 50 - 31.25 = 18.25 pounds ∞ 18.3 lbs
