Metallurgical Engineering
GATE MT topic:laws-thermodynamics PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–40 of 69. Imported answers require independent review unless marked reviewed.
Question 47
Open questionMTNAT2 marksNeeds review
A spherical gas bubble of radius 0.01 mm is entrapped in molten steel held at 1773 K. If the pressure outside the bubble is 1.5 bar, the pressure inside the bubble is ______ bar (round off to 1 decimal place).
Given: 1 bar =
Pa and the surface tension of the steel at 1773 K is
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Open questionMTNAT2 marksNeeds review
What is the equilibrium
ratio for the given reaction at 1873 K? (round off to 2 decimal places)Mo(s) + O
(g) ↔ MoO
(s)Given:
;
and
for the reaction CO(g) + 0.5O
(g) ↔ CO
(g);
.Log in to check the answer
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Open questionMTNAT2 marksNeeds review
The partial molar enthalpy of Au in an Ag-Au melt containing 25 mol% Au at 1400 K is −8300 J·mol⁻¹. Assuming regular solution behavior, the activity of Au in the melt is ______ (round off to 3 decimal places).
Given:
J·K⁻¹·mol⁻¹Log in to check the answer
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Open questionMTNAT2 marksNeeds review
Assuming that Dulong-Petit law is valid for a monoatomic solid, the ratio of heat capacities
at 500 K is ______ (round off to 3 decimals).Given: molar volume = 7×10⁻⁶ m³·mol⁻¹,
isothermal compressibility = 8×10⁻¹² Pa⁻¹,
isobaric expansivity = 6×10⁻⁵ K⁻¹ and
J·K⁻¹·mol⁻¹.Log in to check the answer
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The equilibrium microstructure of an alloy A-B consists of two phases α and β in the molar proportion 2:1. If the overall composition of the alloy is 70 mol% B and the composition of β is 90 mol% B, the composition of α is _____ (in mol% B) (round off to the nearest integer).
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Open questionMTMCQ1 markNeeds review
Elements A and B have the same crystal structure. For a dilute solution of B in A, which one of the following is true?
(Given:
– Mixing enthalpy,
– Activity of B and
– Mole fraction of B)Your answerChoose one option.
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Melting point of Cu is 1358 K and its enthalpy of melting is 13400 J mol
. The value of free energy change (in J mol
) for liquid to solid transformation at 1058 K is: __________ (round off to nearest integer).Assume:
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The vacancy concentration in a crystal doubles upon increasing the temperature from 27 °C to 127 °C. The enthalpy (in kJ mol
) of vacancy formation is: ______ (round off to 2 decimal places). Given:
J mol
K
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Open questionMTMCQ2 marksNeeds review
Number of degrees of freedom for the following reacting system is:
M (s) + CO₂ (g) = MO (s) + CO (g)
Your answerChoose one option.
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Open questionMTMCQ2 marksNeeds review
The condition for getting the binary phase diagram of A-B (shown below) is:

Given:
– Enthalpy of mixing of solid
– Enthalpy of mixing of liquidYour answerChoose one option.
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