 # Question & Answer: A farmer applies nitrogen fertilizer at a rate of 150 lb/A, and tills it in to a depth of three…..

A farmer applies nitrogen fertilizer at a rate of 150 lb/A, and tills it in to a depth of three inches. A layer of soil, one acre in area, and 3 inches deep, weighs about 814,000 pounds. Calculate the concentration of the nitrogen in the soil, in ppm.

ppm = mg of solute / kg of solvent

First,

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mg of solute –> 150 lb per acre

get mass in grams

multiply by 454 g / lb

150*454 g = 68100 g

change to mg, 1 g = 1000 mg

m = 68100*10^3 mg = 68100000 mg

Now,

kg of solvent = 814000 lb –>

get grams, mutiply 454 g / lb

mass = 814000 *454 = 369556000 g

divide by 1000 to get kg

S = 369556.000 kg

Now, get ppm

ppm = 68100000 /369556.000

ppm = 184.275