Question

Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove?
3.52 (22 minus n) = 0.24
StartFraction 22 minus n Over 3.52 EndFraction = StartFraction 24 Over 100 EndFraction
StartFraction 3.52 Over 22 minus n EndFraction = StartFraction 24 Over 100 EndFraction
3.52 + (22 minus n) = 0.24

Answer 1

The equation that he can use to find n, the number of gallons of water he should remove is; (3.52)/(22 - n) = 24/100

How to Calculate Chemical quantities?

Let us first find the amount of ammonia in 22 gallons of 16% ammonia solution.

This gives;

Amount = 16% * 22 gal

Amount = 3.52 gal

Now, the amount of ammonia remains the same after the water evaporates, but the total amount of solution will reduce by the amount of water that evaporates.

Amount of ammonia = 3.52 gal

Amount of water that remains = 22 - n

Desired concentration = 24% = 24/100

Thus, the equation is;

(3.52)/(22 - n) = 24/100

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