The granular fertilizer 11 -11 -11 is composed of 11 % nitrogen, 11 % phosphate, and 11 % potassium. similarly, the fertilizer 19 -17 -0 is composed of 19 % nitrogen, 17 % phosphate, and 0 % potassium. If a gardener mixes a 5 pound bag of 11 -11 -11 with a 25 pound bag of 19 -17 -0 , what are the concentrations of nitrogen, phosphate, and potassium in the mixture? Express the answers as percents.

Question

Chemistry

Malia Morgan

8 March, 11:55

The granular fertilizer 11 -11 -11 is composed of 11 % nitrogen, 11 % phosphate, and 11 % potassium. similarly, the fertilizer 19 -17 -0 is composed of 19 % nitrogen, 17 % phosphate, and 0 % potassium. If a gardener mixes a 5 pound bag of 11 -11 -11 with a 25 pound bag of 19 -17 -0 , what are the concentrations of nitrogen, phosphate, and potassium in the mixture? Express the answers as percents.

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Answers (1)

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Brooklyn Ballard · Answer 1

The farmer would get 30 lb of 18-16-2 fertilizer.

We can use a variation of the dilution formula to solve this problem.

V₁c₁ + V₂c₂ = V₃c₃

For N

5 lb * 11 + 25 lb * 19 = 30 lb * x

55 + 475 = 30x

x = 530/30 = 18

For PO₄

5 lb * 11 + 25 lb * 17 = 30 lb * y

55 + 425 = 30y

y = 480/30 = 16

For K

5 lb * 11 + 25 lb * 0 = 30 lb * z

55 + 0 = 30z

x = 55/30 = 2

The farmer would get 30 lb of 18-16-2 fertilizer.