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Question

If a crop of wheat removes 20 kg of nitrogen per hectare of soil, what mass (in kg) of the fertilizer calcium nitrate would be required to replace the nitrogen in a 10 hectare field?

[N=14; O=16; Ca=40]

A
1171 kg
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B
2342 kg
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C
585.5 kg
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D
1395.45 kg
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Solution

The correct option is A 1171 kg
One hector consumes 20 kg of nitrogen. So total nitrogen consumption, 20×10=200kg.
Molecular formula of calcium nitrate is Ca(NO3)2
So,164 parts of calcium nitrate contains 28 parts of nitrogen.
So, 1 part of nitrogen is found in 164/28 parts of calcium nitrate.
So, 200 kg of nitrogen is found in, (164/28×200)=1171.4kg of calcium nitrate. So the correct option is A

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