Metallurgical Engineering
GATE MT purpose:exam-prep PYQs
Build your understanding with focused practice from past exam papers.
Questions 371–380 of 650. Imported answers require independent review unless marked reviewed.
Question 36
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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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A coin is tossed three times. Given that there are more heads than tails, the probability of getting exactly one tail is: __________ (round off to 2 decimal places).
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A continuous fillet weld is made using a 3000 W welding machine. At a travel speed of 6 mm s⁻¹, the cross-sectional area (in mm²) of the weld is: ________ (round off to nearest integer).
Given: The unit energy required to melt the metal is 6 J mm⁻³.
Heat transfer factor = 0.6
Melting factor = 0.5
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Liquid iron is cast into a spherical sand mold (6 cm radius) and a cubical sand mold (12 cm edge length). If solidification time is 60 minutes in the spherical casting, the time (in minutes) required to solidify the cubical casting is: __________ (round off to nearest integer).
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True strain for 60% height reduction of a sample subjected to hot forging is: __________ (round off to 2 decimal places).
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For the equilibrium reaction
, the value of
at 973 K is: ________ (round off to 2 decimal places).
Given:
ΔG° at 973 K = −100 kJ
ΔG° at 973 K = 292 kJ
R = 8.314 J mol⁻¹ K⁻¹
Assume: Cu and Cu₂S are pure solids.Log in to check the answer
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One mole of an ideal gas at 10 atm. and 300 K undergoes reversible adiabatic expansion to a pressure of one atm. The work done (in Joule) by the gas is: __________ (round off to nearest integer).
Given: R = 8.314 J mol⁻¹ K⁻¹; 1 atm. = 101325 Pa; Cₚ = 2.5R
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The figure shows the entropy versus temperature (S-T) plot of a reversible cycle of an engine. If T₁ = 200 K and T₂ = 600 K, the efficiency of the engine (in percent) is: __________ (round off to 2 decimal places).
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