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lana [24]
3 years ago
13

The granular fertilizer 11​-11​-11 is composed of 11​% ​nitrogen, 11​% ​phosphate, and 11​% potassium.​ similarly, the fertilize

r 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.
Chemistry
1 answer:
Phoenix [80]3 years ago
8 0

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

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

<em>V</em>₁<em>c</em>₁ + <em>V</em>₂<em>c</em>₂ = <em>V</em>₃c₃

<em>For N </em>

5 lb × 11 + 25 lb × 19 = 30 lb × <em>x</em>

55 + 475 = 30<em>x </em>

<em>x</em> = 530/30 = 18

<em>For PO₄ </em>

5 lb × 11 + 25 lb × 17 = 30 lb × y

55 + 425 = 30<em>y</em>

<em>y</em> = 480/30 = 16

<em>For K </em>

5 lb × 11 + 25 lb × 0 = 30 lb × <em>z </em>

55 + 0 = 30<em>z </em>

<em>x</em> = 55/30 = 2

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

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