GATE 2021 MT – Question 46
A blast furnace uses hematite ore with 80% $Fe_2O_3$ and 20% gangue. Coke use is 600 kg per ton hot metal, with 85% C and 15% ash. Hot metal is 95.5% Fe and 4.5% C. Ore use and slag production per ton hot metal, respectively, are ______. Atomic weights O = 16, C = 12, N = 14, Fe = 56; all compositions are wt.%; 1 ton = 1000 kg. Assume ore gangue and coke ash form slag, while ore $Fe_2O_3$ is consumed in producing hot metal.
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Correct answer: (A) 1705 kg, 431 kg
Explanation
Hot metal contains 955 kg Fe. Ore iron fraction is 0.8×112/160=0.56, so ore required is 955/0.56=1705.36 kg. Slag is ore gangue plus coke ash: 0.2×1705.36+0.15×600=431.07 kg.
Thus **1705 kg,431 kg, A**.