GATE MT topic:materials-engineering PYQs & Answers — Page 63

Questions 621–630 of 650. Imported answers require independent review unless marked reviewed.

A ladle containing molten steel is being discharged. The relevant forces are listed in Column I. Match them with their corresponding expressions in Column II.

Column I	Column II
[P] Pressure force	[1]
[Q] Inertial force	[2]
[R] Gravity force	[3]
[S] Viscous force	[4]

= viscosity, U = characteristic velocity, L = characteristic length,

= density, g = acceleration due to gravity, P = pressure.

Your answerChoose one option.

P-4; Q-3; R-2; S-1

P-1; Q-3; R-2; S-4

P-2; Q-3; R-4; S-1

P-4; Q-3; R-1; S-2

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In primary steelmaking, dissolved oxygen (O) reacts with carbon (C) to produce CO (g), at 1 atm pressure according to the reaction: C + O = CO (g). The equilibrium constant for this reaction is

, where T is in Kelvin. Assuming Henrian activity coefficient of both O and C to be unity, the dissolved oxygen content (in wt.%) of plain carbon steel melt with 0.7 wt.% C at 1600°C is __________ (answer up to four decimal places)

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A stoichiometric mixture of CO and pure oxygen at 1 atm and 25°C flows into a combustion reactor. The molar flow rate of CO entering the reactor is 1 kg-mol·h

. The adiabatic flame temperature (in K) for the combustion of CO with stoichiometric oxygen is __________ (answer up to two decimal places)

Given:

kJ (kg-mol CO)

kJ (kg-mol K)

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A solution contains

M of Fe

at 25°C. The solubility product of Fe(OH)

. Assuming activity equals concentration, the minimum pH at which Fe

will precipitate as Fe(OH)

is __________ (answer up to two decimal places)

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A zinc electrowinning cell is being operated at a current of 400 A, voltage of 3.5 V, and a cathodic current efficiency of 90%. The specific energy consumption (in kJ kg

zinc) is __________ (answer up to two decimal places)

(Atomic weight of Zn = 65)

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Pure metals A and B form two real binary solid solutions α and β at temperature T and pressure P. The free energy versus composition plots for both the solutions are shown below.

Diagram for Metallurgical Engineering question 41

The condition for chemical equilibrium is:

Your answerChoose one option.

Mole fraction of A in α = mole fraction of A in β and mole fraction of B in α = mole fraction of B in β

Mole fraction of B in α = mole fraction of A in β and mole fraction of A in α = mole fraction of B in β

Activity of A in α = activity of A in β and activity of B in α = activity of B in β

Activity of A in α = activity of B in β and activity of B in α = activity of A in β

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Pure orthorhombic sulfur transforms to stable monoclinic sulfur above 368.5 K. Applying Third law of thermodynamics, the value of entropy (in J K

) of transformation at 368.5 K is __________ (answer up to two decimal places)

Given: i. Entropy change associated with heating orthorhombic sulfur from 0 K to 368.5 K is 36.86 J K

. ii. Entropy change associated with cooling monoclinic sulfur from 368.5 K to 0 K is −37.8 J K

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For homogeneous nucleation of solid in a liquid of a pure metal, the critical edge length (in nm) of a cube shaped nucleus is __________ (answer up to two decimal places)

(Given: surface energy

J m

; change in volume free energy

J m

)

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Assuming the solid phases to be pure, the slope of line BC in the predominance area diagram schematically shown below is ________ (answer up to two decimal places)

Diagram for Metallurgical Engineering question 44

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For each of the crystallographic system listed in Group-I, match the corresponding minimum symmetry in Group-II

Group-I [P] Tetragonal [Q] Cubic [R] Monoclinic [S] Rhombohedral

Group-II [1] 1 two-fold rotation [2] 1 three-fold rotation [3] 4 three-fold rotation [4] 1 four-fold rotation

Your answerChoose one option.

P-3; Q-4; R-2; S-3

P-4; Q-3; R-2; S-1

P-1; Q-2; R-4; S-3

P-4; Q-3; R-1; S-2

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GATE MT topic:materials-engineering PYQs

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45