Metallurgical Engineering
2021 · Paper 1
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Complete GATE MT 2021 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 46–48 of 65. Imported answers require review unless explicitly marked reviewed.
Question 36
Open questionMTMCQ2 marksNeeds review
A blast furnace uses hematite ore with 80% Fe₂O₃ and 20% gangue materials. It uses 600 kg coke per ton of hot metal. The coke contains 85% C and 15% ash. The composition of hot metal is 95.5% Fe and 4.5% C.
The weight of iron ore used and slag produced per ton of hot metal respectively, are:
Given: Atomic weight: O = 16, C = 12, N = 14, Fe = 56
All the compositions are in wt.%.
1 ton = 1000 kg
Assume that the gangue materials of the ore and ash content of coke form slag while Fe₂O₃ in the ore is consumed in making hot metal.
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Consider the function f(x) = x − cos x. Using Newton-Raphson method, the estimated root of f(x) after the first iteration is: ______ (round off to 3 decimal places).
Assume: Initial guess of the root = 0.5 radians.
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The work done by a force
along a straight line from point (0, 0) to (1, 2) is: ________ (round off to nearest integer).Log in to check the answer
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