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Ammonium nitrate is a common fertilizer. Agronomists base the effectiveness of fertilizers on their nitrogen content.

(a) Calculate the mass percent of N in ammonium nitrate.

(b) How many grams of N are in 35.8 kg of ammonium nitrate?

Answer :

Final answer:

The mass percent of nitrogen in ammonium nitrate is 17.5%. There are 6270 grams of nitrogen in 35.8 kg of ammonium nitrate.

Explanation:

In order to calculate the mass percent of N in ammonium nitrate, we need to know the molar mass of N and the molar mass of the compound. The molar mass of N is approximately 14.01 g/mol. The molar mass of ammonium nitrate can be calculated by adding the molar masses of each element in the compound: N (14.01 g/mol) + H (1.01 g/mol) + O (16.00 g/mol) x 3 = 80.07 g/mol. To find the mass percent of N, divide the molar mass of N by the molar mass of ammonium nitrate and multiply by 100: (14.01 g/mol / 80.07 g/mol) x 100% = 17.5%.

To determine the number of grams of N in 35.8 kg of ammonium nitrate, we need to use the mass percent of N we calculated earlier. Multiply the mass percent of N by the mass of ammonium nitrate in kg: 17.5% x 35.8 kg = 6.27 kg. To convert kg to grams, multiply by 1000: 6.27 kg x 1000 g/kg = 6270 g. Therefore, there are 6270 grams of N in 35.8 kg of ammonium nitrate.

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