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Question

All-purpose fertilizers contain the essential elements nitrogen, phosphorus, and potassium. A typical fertilizer carries numbers on its label, such as "5-10-5". These numbers represent the % N\% \mathrm{~N}, %P2O5\% \mathrm{P}_2 \mathrm{O}_5, and % K2O\% \mathrm{~K}_2 \mathrm{O}, respectively. The N\mathrm{N} is contained in the form of a nitrogen compound, such as (NH4)2SO4,NH4NO3\left(\mathrm{NH}_4\right)_2 \mathrm{SO}_4, \mathrm{NH}_4 \mathrm{NO}_3, or CO(NH2)2\mathrm{CO}\left(\mathrm{NH}_2\right)_2 (urea). The P\mathrm{P} is generally present as phosphate, and the K\mathrm{K} as KCl\mathrm{KCl}. The expressions %P2O5\% \mathrm{P}_2 \mathrm{O}_5 and % K2O\% \mathrm{~K}_2 \mathrm{O} were devised in the nineteenth century, before the nature of chemical compounds was fully understood. To convert from %P2O5\% \mathrm{P}_2 \mathrm{O}_5 to P2O5\mathrm{P}_2 \mathrm{O}_5 and 2 mol K/molK/O2 \mathrm{~mol} \mathrm{~K} / \mathrm{mol} \mathrm{K} / \mathrm{O} must be used, 2 mol/mol2 \mathrm{~mol} / \mathrm{mol} with molar masses. Assuming three-significant-figure precision, what is the percent composition of the "5-10-5" fertilizer in % N,%P\% \mathrm{~N}, \% \mathrm{P}, and % K\% \mathrm{~K} ?

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Answered 2 years ago
Answered 2 years ago
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Given: Mass of N = 5.00 g Mass of P2O5\mathrm{P_{2}O_{5}} = 10.00 g Mass of K2O\mathrm{K_{2}O} = 5.00 g

(1) First, calculate for the percent composition of nitrogen in 100 g fertilizer as shown below:

Percent composition of N=(5.00 g100g)(100)\text{Percent composition of N} = (\dfrac{\text{5.00 g}}{100 g}) (100)

Percent composition of N=5.00%\text{Percent composition of N} = 5.00\%

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