GATE MT year:2025 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 6 of 7

Molten steel at 1900 K having dissolved hydrogen needs to be vacuum degassed.

The equilibrium partial pressure of hydrogen to be maintained to achieve 1 ppm (mass basis) of dissolved hydrogen is _____ Torr (rounded off to two decimal places).

Given: For the hydrogen dissolution reaction in molten steel (½ H

(g) = [H]), the equilibrium constant (expressed in terms of ppm of dissolved H) is:

1 atm = 760 Torr

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

The value of

is _____ (in integer).

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

Consider the following reactions and their standard Gibbs free energies (in J):

Fe(s) +

(g) ⇌ FeO(s)

2 H

(g) + O

(g) ⇌ 2 H

O(g)

Assuming Fe and FeO to be pure and no solubility of gases in the solids, the value of

required to reduce solid FeO to solid Fe at 1000 K is _____ (rounded off to two decimal places).

Given: Ideal gas constant R = 8.314 J mol

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

The diameter of spherical galena particles that have the same settling velocity as spherical quartz particles of diameter 25 μm (both settling in water) is _____ μm (rounded off to one decimal place).

Assume Stokes law of settling to be valid.

Given: Density of galena = 7400 kg m

, density of quartz = 2600 kg m

, density of water = 1000 kg m

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

Consider the following cell reaction:

Mg + Cd

⇌ Mg

+ Cd

The standard Gibbs free energy change for the reaction is _____ kJ (rounded off to an integer).

Given: Standard oxidation potentials for the reactions with respect to standard hydrogen electrode are:

Mg ⇌ Mg

+ 2e

E° = 2.37 V

Cd ⇌ Cd

+ 2e

E° = 0.403 V

Faraday’s constant = 96500 C mol

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

Copper is being electrodeposited from a CuSO

bath onto a stainless steel cathode of total surface area of 2 m

in an electrolytic cell operated at a current density of 200 A m

with a current efficiency of 90%.

The mass of copper deposited in 24 h is _____ kg (rounded off to two decimal places).

Given: Faraday’s constant = 96500 C mol

, atomic mass of copper = 63.5 g mol

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

An intrinsic semiconductor has conductivity of 100 Ω

at 300 K and 300 Ω

at 500 K.

The band gap of the semiconductor is _____ eV (rounded off to two decimal places).

Given: Boltzmann constant

= 8.6 × 10

eV K

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

For a component fabricated from an alloy A with plane strain fracture toughness,

MPa m

, fracture was observed to take place at a crack length of 0.4 mm at a tensile service stress of σ.

If the same component is instead fabricated from alloy B with

MPa m

, the crack length at which a similar crack geometry will result in fracture (under identical tensile service stress of σ) is _____ mm (rounded off to one decimal place).

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

Temperatures at two sides of a 0.4 m thick copper plate are 100 and 500 °C.

Assuming steady state, one-dimensional conductive heat transfer through the wall and ignoring end-effects, the magnitude of the heat flux through the wall is _____ × 10

W m

(in integer).

Given: Thermal conductivity of copper is 400 W m

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

In polycrystalline Ni, Nabarro-Herring diffusion creep was found to be the rate controlling creep mechanism at a certain temperature.

At that temperature, if the steady state strain rate is 10

at a stress of 10 MPa, the steady state strain rate of 10

will be obtained at a stress value of _____ MPa (in integer).

Assume that the same creep mechanism is rate controlling during the creep deformation.

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

GATE MT year:2025 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60