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If the fertilizers are priced according ...

If the fertilizers are priced according to their nitrogen content, which will be the least expensive per 50 kg bag ?
(a) Urea, `(NH_(2))_(2))CO`
(b) Ammonia `(NH_(3))`
(c) Ammonium nitrate `NH_(4)NO_(3)`

Text Solution

Verified by Experts

The fertilizer with least precentage of nitrogen is expected to be least expensive
(a) Gram molecular mass of `(NH_(2))_(2)CO=2xx` Atomic mass of N + Atomic mass of O + Atomic mass of `C+ 4xx` Atomic mas of `H = 2xx 14+ 16 + 12 + 4 xx1 = 60` g
Percentage of `N=((28g))/((60g))xx100=46.7%`
(b) Gram molecular mass of `NH_(3)`= Atomic mass of `N xx 3` Atomic mass of `H = 14 + 3 = 17 g`
Percentage of `N=((14g))/((17g))xx100=82.3%`
(c) Gram molecular mass of `NH_(4)NO_(3)=2xx` Atomic mass of `N+3xx` Atomic mass `O + 4 xx` Atomic mass of H
`= 2xx14 + 3 xx 16+4 xx1 = 80` g
Percentage of `N=((28g))/((80g))xx100=35%`
Ammonium nitraten with least percentage of N is the least expensive.
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