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Nitrogen (N), phosphorus (P), and potassium (K) are the
Chapter 3, Problem 96P(choose chapter or problem)
Questions & Answers
QUESTION: Nitrogen (N), phosphorus (P), and potassium (K) are the main nutrients in plant fertilizers. By convention, the numbers on the label refer to the mass percents of N, \(\mathrm{P}_{2} \mathrm{O}_{5}\), and \(\mathrm{K}_{2} \mathrm{O}\), in that order. Calculate the N/P/K ratio of a 30/10/10 fertilizer in terms of moles of each element, and express it as \(x / y / 1.0\).
ANSWER:
Here, we are going to calculate the N/P/K ratio of a 30/10/10 fertilizer in terms of moles of each element, and express it as x/y/1.0.
Let's calculate the number of moles of each element:
Given that,
100 g fertilizer = 30:10:10 of \(\mathrm{N}: \mathrm{K}_{2} \mathrm{O}: \mathrm{P}_{2} \mathrm{O}_{5}\)
Thus,
The mass of \(N=30\) g, the molar mass of N = 14.01 g/mol
The mass of \(P_{2} O_{5}=10\) g, the molar mass of \(P_{2} O_{5}=141.94\) g/mol
The mass of \(K_{2} O=10\) g, the molar mass of \(K_{2} O= 94.20\) g/mol