GATE MT format:nat PYQs & Answers — Page 18 — Exam Papers

Questions 171–180 of 232. Imported answers require independent review unless marked reviewed.

Topic practice 232 questionsPage 18 of 24

Equilibrium concentration of dissolved nitrogen (in wt.%, rounded off to three decimal places) in pure liquid iron, exposed to atmospheric air at 1873 K, is ________.

Given: Sieverts’ law constant as a function of temperature (

; in Kelvin) is

where

has the dimension of

. Assume

, where

is the activity of nitrogen with respect to 1 wt.% Henrian standard state.

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Pressure drop in the granular zone of a blast furnace is 300 mm of water per meter of the bed height. The bed permeability is 0.8

. The volumetric flow rate of gas per unit area through the bed [in

, rounded off to the nearest integer] is ________.

Assume Darcy’s law is applicable and

. Density of water = 1000

.

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A blast furnace charged with hematite containing 90 wt.% Fe

O

produces liquid iron with 3.6 wt.% carbon. Coke containing 90 wt.% carbon is charged at a rate of 500 kg per Metric ton of liquid iron produced. The blast furnace top gas contains (by volume), 22% CO, 18% CO

, and balance nitrogen. The volume of the blast furnace top gas [in m

(NP), rounded off to the nearest integer] is ________.

Given: Assume ideal gas behavior, and molar volume of the gas at NP is 22.4 liter.

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100 Metric tons of copper concentrate containing 21 wt.% Cu is to be processed in 6 months with 25 working days per month and 8 working hours per day. The concentrate is leached by sulphuric acid and electrolyzed in 10 cells arranged in series. The minimum current rating (Ampere per month per cell, rounded off to the nearest integer) is ________.

Given: Faraday constant = 96500 Coulomb per gram equivalent. Atomic weight of copper is 63.

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Cold working of iron leads to increase in dislocation density from

to

. The associated stored energy (in

, rounded off to one decimal place) is ________.

Given: Shear modulus of iron = 82 GPa, Burger’s vector,

,

nm.

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The critical radius (in nm, rounded off to one decimal place) of nickel nucleus during solidification at 1673 K is ________.

Given: Enthalpy of fusion of nickel =

; Liquid-solid interfacial energy = 0.5

, and Equilibrium melting temperature of nickel = 1728 K.

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A material, made up of alternating layers of metals A and B, is loaded as shown below. If the volume % of B is 25%, the elastic modulus (in GPa, rounded off to one decimal place) of the material is ________.

Diagram for Metallurgical Engineering question 49

Given: Elastic moduli of A and B are 200 GPa and 100 GPa, respectively.

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The S-N curve for a steel is shown below. If the stress ratio, (

) =

, the maximum stress (in MPa, rounded off to the nearest integer) that the steel can withstand for infinite fatigue life is ________.

Diagram for Metallurgical Engineering question 50

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True stress - true strain behavior of a metal is given by the flow curve equation

where

is in MPa. The true stress at necking (in MPa, rounded off to the nearest integer) is ________.

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In sand-mold casting of a metal, it takes 180 seconds to complete solidification of a 27 cm

cube-shaped casting. All other parameters remaining constant, the total solidification time (in seconds, rounded off to one decimal place) for a cylinder-shaped [radius = 1 cm and height = 6 cm] casting of the same metal, is ________.

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