GATE MT topic:laws-thermodynamics PYQs & Answers

Questions 1–10 of 69. Imported answers require independent review unless marked reviewed.

Which one of the following is NOT a state function?

Your answerChoose one option.

Enthalpy

Entropy

Work

Internal Energy

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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)

Your answerChoose one option.

Both ΔHₘᵢₓ and ΔSₘᵢₓ are finite

ΔHₘᵢₓ is zero and ΔSₘᵢₓ is finite

ΔHₘᵢₓ is finite and ΔSₘᵢₓ is zero

Both ΔHₘᵢₓ and ΔSₘᵢₓ are zero

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Choose the correct option(s).

Here ‘A’ is the Helmholtz free energy and ‘G’ is the Gibbs free energy.

Your answerSelect all correct options. You can choose more than one.

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

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

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

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

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For an equilibrium phase diagram of a binary A-B alloy at a constant pressure as shown in the figure, the degree of freedom at ‘X’ is (answer in integer) ____________.

Diagram for Metallurgical Engineering question 34

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20 g of gold (Au) and 20 g of silver (Ag) are mixed to form a single-phase solid solution (assume ideal mixing). The atomic weight of Au is 197 g/mol and the atomic weight of Ag is 108 g/mol. The value of universal gas constant R is 8.314 J/mol-K. The total entropy of mixing (rounded off to two decimal places) is __________ J/K.

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2 moles of an ideal gas is reversibly expanded from 10 liter to 20 liter at isothermal condition. The value of universal gas constant R is 8.314 J/mol-K. If the temperature of the gas is 27 °C, the magnitude of work done in the process (rounded off to two decimal places) is ____________ Joules.

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Specific heat capacity at constant pressure (C

) of a solid metal is given by the following equation:

(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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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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For the following reaction between methane and stoichiometric 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.

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

Your answerChoose one option.

enthalpy

entropy

Helmholtz free energy

Gibbs free energy

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GATE MT topic:laws-thermodynamics PYQs

How to practice topic:laws-thermodynamics

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Question 12