Ammonium nitrate (NH 4 NO 3 ) is an important agricultural industrial chemical a

Question

Ammonium nitrate (NH4NO3) is an important agricultural industrial chemical as it provides readily available nitrogen for plant growth, and on ecan buy 50. pounds of ammonium nitrate for $38. Urea (CO(NH2)2) is an attractive alternative, and, not being a pre-cursor to an explosive, draws less attention from law enforcement when buying significant quantities. The key component is the nitrogen component (% composition) in the substance that feeds your plants.

What will the price of urea be (for 50.pounds) in order to provide the same amount of nitrogen per dollar spent?

Explanation / Answer

NH4NO3 ,$38 ---> price for 50pounds = 22679.5 g of NH4NO3

80 g of ammonium nitrate contains 14g of N = 17.5% m/m

In 50 pounds of nitrate ---> 3968.91 g of N ----> 101.81 g of N per dollar spent.

Urea: CO (NH2)2 . In 60g of urea, there are 28g of N ----> 46,7% m/m

50 pounds of urea -----> 10591.3 g of N

If we keep the price  101.81 g of N per dollar spent, we find that urea would cost:

$ 104.03 = price for 50 pounds of urea.

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