Metallurgical Engineering
2026 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MT 2026 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 55–57 of 65. Imported answers require review unless explicitly marked reviewed.
Question 55
Open questionMTNAT2 marksNeeds review
Specific heat capacity at constant pressure (C
) of a solid metal is given by the following equation:C
(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.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 56
Open questionMTNAT2 marksNeeds review
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.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 57
Open questionMTNAT2 marksNeeds review
A given volume of liquid is undercooled just below the melting temperature to form a spherical solid nucleus (consider homogeneous nucleation). The Gibbs free energy of solidification (ΔGᵥ) is (− 0.5 × 10⁸) J/m³. The solid-liquid interfacial energy (γ) is isotropic and its value is 0.1 J/m².
The critical nucleus size for a stable nucleus is __________ nm (answer in integer).
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