Metallurgical Engineering Gate 2025 Questions with Answer

Ques 53 GATE 2025

Which of the following conditions is/are favorable for producing low-silicon hot metal in blast furnace ironmaking?

Ques 54 GATE 2025

Standard Gibbs free energies of formation of some solid oxides per mole of O₂ at 1000 K are given below.
SiO₂: -728 kJ, TiO2: -737 kJ, VO: -712 kJ, MnO: -624 kJ
Regarding thermodynamic feasibility of oxide reduction, which of the following statements is/are CORRECT under standard conditions at 1000 K?

Ques 55 GATE 2025

Consider the gas phase reaction: CO+(1/2)O₂↔CO₂. At equilibrium for a particular temperature, the partial pressures of CO, O₂, and CO₂ are found to be 10^-6 atm, 10^-6 atm, and 16 atm, respectively. The equilibrium constant for the reaction is ______ ×10¹⁰ (rounded off to one decimal place).

Ques 56 GATE 2025

Match the steel plant related processes in Column I with the associated information in Column II.

Ques 57 GATE 2025

The excess molar Gibbs free energy of a solution of element A and B at 1000 K is given by G^XS=-3000 X_AX_B J mol^-1, where X_A and X_B are mole fractions of A and B, respectively.
The activity of B in a solution of A and B containing 40 mol% of B at 1000 K is ______ (rounded off to two decimal places).
Given: Ideal gas constant R=8.314 J mol^-1K^-1

Ques 58 GATE 2025

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 (1/2 H₂(g)=[H]), the equilibrium constant (expressed in terms of ppm of dissolved H) is: log₁₀K_eq = -1900/T+2.4
1 atm = 760 Torr

Ques 59 GATE 2025

Consider the following reactions and their standard Gibbs free energies (in J):
Fe(s)+1/2 O₂(g)↔FeO(s); ΔG°=-264900+65T
2 H₂(g)+O₂(g)↔2 H₂O(g); ΔG°=-492900+109T
Assuming Fe and FeO to be pure and no solubility of gases in the solids, the value of p_H2O/p_H2 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^-1K^-1

Ques 60 GATE 2025

The standard Gibbs free energy change for the reaction Mg+Cd²⁺↔Mg²⁺+Cd is ______ kJ (rounded off to an integer).
Given: Standard oxidation potentials for the reactions with respect to standard hydrogen electrode are:
Mg↔Mg²⁺+2e^-; E°=2.37 V
Cd↔Cd²⁺+2e^-; E°=0.403 V
Faraday's constant =96500 C mol^-1

Ques 61 GATE 2025

Copper is being electrodeposited from a CuSO₄ bath onto a stainless steel cathode of total surface area of 2 m² in an electrolytic cell operated at a current density of 200 A m^-2 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^-1 atomic mass of copper =63.5g mol^-1

Ques 62 GATE 2025

The reaction represented by A→B follows first order kinetics. At a given temperature, 20% of the reaction is completed in 223 s.
The time taken to complete 50% of the reaction at the same temperature is ______ s (rounded off to the nearest integer).

Ques 63 GATE 2025

The hydrostatic stress for the stress tensor provided below is ______ MPa (in integer).

Ques 64 GATE 2025

For an isobaric process, the heat transferred is equal to the change in ______ of the system.

Ques 65 GATE 2025

Which one of the following is an intensive property?