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GATE 2022 MN – Question 47

Mining Geology, Mine Development and Surveying · Mine Development · 2 marks · Numerical answer

Balanced ANFO reaction is $3\mathrm{NH_4NO_3}+\mathrm{CH_2}\to7\mathrm{H_2O}+\mathrm{CO_2}+3\mathrm{N_2}$. Find ammonium nitrate needed for 100 litres of fuel oil of density 850 kg/m³, in kg to two decimals.

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Correct answer: 1453.00 to 1458.00

Explanation

Fuel-oil mass is 0.100×850=85 kg. The balanced equation requires three moles of ammonium nitrate (3×80=240 mass units) per CH₂ unit (14 mass units). Therefore nitrate mass is 85×240/14=1457.1429 kg, or 1457.14 kg. Volumes cannot be used directly in the stoichiometric mass ratio.

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