Metallurgical Engineering Gate 2026 Questions with Answer

Ques 53 GATE 2026


Specific heat capacity at constant pressure (Cp) of a solid metal is given by the following expression:
Cp (in J/mol-K) = 20 + (5 × 10−3)·T (for T= 298 K to 1000 K)
At constant pressure, if the temperature (T in K) of 2 moles of metal is increased from 300 K to 600 K, the change in enthalpy of the metal (answer in integer) is ___________ Joules.


(13350) is the correct answer.

Ques 54 GATE 2026


With reference to the Ellingham diagram, the standard Gibbs free energy change for the oxidation of solid metal M (s) and liquid metal M (l) is given below:
Reaction I: M (s) + O2 (g) → MO2 (s)
ΔG° = (− 338900 − 15.2T lnT + 247T) Joules; from T = 300 K to melting point.
Reaction II: M (l) + O2 (g) → MO2 (s)
ΔG° = (− 390800 − 15.2T lnT + 285.3T) Joules; from melting point to T = 1800 K
The melting point of the metal M (rounded off to one decimal place) is _______________ Kelvin.


(1355.1) is the correct answer.

Ques 55 GATE 2026


For the following reaction between methane and stochiometric 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.


(1843.5) is the correct answer.

Ques 56 GATE 2026


Which one of the following is NOT a state function?

A

Enthalpy

B

Entropy

C

Work

D

Internal Energy


(c) is the correct answer.

Ques 57 GATE 2026


For a regular solution, which one of the following statements is correct?
(ΔHmix is the enthalpy of mixing and ΔSmix is the entropy of mixing)

A

Both ΔHmix and ΔSmix are finite

B

ΔHmix is zero and ΔSmix is finite

C

ΔHmix is finite and ΔSmix is zero

D

Both ΔHmix and ΔSmix are zero


(a) is the correct answer.

Ques 58 GATE 2026


Choose the correct option(s).
Here 'A' is the Helmholtz free energy and 'G' is the Gibbs free energy.

A

'A' provides a criterion for equilibrium in a system with constant temperature and constant pressure

B

'G' provides a criterion for equilibrium in a system with constant temperature and constant pressure

C

'A' provides a criterion for equilibrium in a system with constant temperature and constant volume

D

'G' provides a criterion for equilibrium in a system with constant temperature and constant volume


(b,c) is the correct answer.

Ques 59 GATE 2026


A cylindrical furnace has 0.1 m inner diameter and 0.2 m height. Walls A1 (inner section of cylindrical surface area) and A2 (inner section of bottom surface area) are maintained at 1873 K. The sides and bottom are assumed to be black bodies, well insulated and heated electrically. The top area (A3) is open to atmosphere maintained at 300 K, resulting in loss of heat 'q'.
Given: View factors F13 = 0.1175 and F23 = 0.06, where Fij is the fraction of radiation leaving surface 'i' that is intercepted by surface 'j'.
Stefan-Boltzmann constant = 5.67 × 10−8 W/m2-K4.
The power needed to maintain the furnace at 1873 K, is (approximate to the nearest integer) __________________W.


(5477) is the correct answer.

Ques 60 GATE 2026


Which one of the following options is correct?
In a convective heat transfer for laminar flow over a flat plate, Nusselt number is a function of Reynolds number and Prandtl number. Similarly, in a convective mass transfer for laminar flow over a flat plate, Sherwood number is a function of:

A

Schmidt number and Reynolds number

B

Weber number and Reynolds number

C

Schmidt number and Weber number

D

Weber number and Prandtl number


(c) is the correct answer.

Ques 61 GATE 2026


Which one of the following options is correct?
For a solid immersed in a fluid, the convective heat transfer coefficient across the solid-fluid interface is NOT dependent on:

A

Solid-fluid interfacial area

B

Thermal conductivity of solid

C

Roughness of solid surface

D

Viscosity of fluid


(b) is the correct answer.

Ques 62 GATE 2026


Ergun equation is NOT applied in which one of the following unit operations to analyze gas flow behavior:

A

Blast Furnace

B

Sintering

C

Roasting

D

LD Converter


(d) is the correct answer.

Ques 63 GATE 2026


Two parallel plates, with Newtonian incompressible liquid in between, are 2 mm apart. The upper plate is stationary and the lower plate moves with a velocity of 4 m/s. A force per unit area of 5 N/m2 is applied parallel to the lower plate to maintain its motion. The viscosity of the liquid (rounded off to two decimal places) is _______ × 10−3 N.s/m2


(2.50) is the correct answer.

Ques 64 GATE 2026


The equation below represents a steady-state laminar flow of a fluid through a horizontal tube:
η(1/r) d/dr(r dvz/dr) − dP/dz = 0
P is fluid pressure, η is dynamic viscosity, (r, z): coordinates of cylindrical polar system, and vz is axial velocity in z-direction.

Which one of the following statements related to the above case is NOT correct?

A

The fluid is Newtonian

B

Shear stress is maximum at the center (r = 0)

C

Radial velocity is zero

D

There is no variation of vz in z-direction


(b) is the correct answer.

Ques 65 GATE 2026


Choose the correct option(s).
Permeability of a porous bed made of spherical particles is/are:

A

Independent of particle size

B

Increases with increase in particle size

C

Decreases with increase in particle size

D

Affected by particle size distribution


(b,d) is the correct answer.

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