GATE MT topic:materials-engineering PYQs & Answers — Page 7

Questions 61–70 of 650. Imported answers require independent review unless marked reviewed.

For the following reaction between methane and stoichiometric air having composition 20 vol.% O₂ and 80 vol.% N₂, the estimated adiabatic flame temperature (rounded off to one decimal place) is _________________ Kelvin.

CH₄ (g) + 2 O₂ (g) → CO₂ (g) + 2 H₂O (g)

Given: ΔH = − 850 kJ/mol at 298 K

Assume specific heat at constant pressure (Cₚ) for each reactant and product is 50 J/mol-K and is independent of temperature.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A copper ore contains 30 wt.% chalcopyrite (CuFeS₂) and remaining gangue material. Assuming no copper in gangue material, the amount of copper in the ore (rounded off to one decimal place) is __________ wt.%. Given: Atomic weights of Fe, Cu and S are 56, 63.5, and 32 g/mol, respectively.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

A blast furnace produces hot metal with the following composition: 4 wt.% C, 1.5 wt.% Si, and rest Fe.

Only input of iron is through iron ore containing 85 wt.% Fe₂O₃ and 15 wt.% gangue consisting of SiO₂ and Al₂O₃.

2% of all iron (by weight) is lost in slag.

The amount of ore used to produce 1000 kg of hot metal (rounded off to one decimal place) is __________ kg.

Given: Atomic weights of Fe and O are 56 g/mol and 16 g/mol, respectively.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Al₂O₃ can be electrolyzed with an inert anode or a carbon anode.

Overall reactions are as follows:

Reaction I: For inert anode,

Reaction II: For carbon anode,

T denotes temperature in Kelvin

Given: Faraday constant = 96500 Coulomb

If inert anode is replaced by carbon anode during electrolysis of Al₂O₃ at temperature 1300 K, the decrease in the magnitude of decomposition potential between the two reactions (rounded off to two decimal places) is __________ Volts.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Given a scalar field

Magnitude of a vector in the direction of the most rapid increase of

at a point P (3,4,1), rounded off to two decimal places, is __________

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Despite his initial hesitation, Rehan’s ________ to contribute to the success of the project never wavered.

Select the most appropriate option to complete the above sentence.

Your answerChoose one option.

ambivalence

satisfaction

resolve

revolve

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Bird : Nest :: Bee : ______

Select the correct option to complete the analogy.

Your answerChoose one option.

Kennel

Hammock

Hive

Lair

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

for all real values of

, which one of the following statements is true?

Your answerChoose one option.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

The paper as shown in the figure is folded to make a cube where each square corresponds to a particular face of the cube. Which one of the following options correctly represents the cube?

Note: The figures shown are representative.