GATE CY concept:equilibrium PYQs & Answers

Questions 1–7 of 7. Imported answers require independent review unless marked reviewed.

ΔS° (in J mol⁻¹ K⁻¹) for the given reaction at 298 K is ______.

[Cu(H₂O)₆]²⁺ + en → [Cu(H₂O)₄(en)]²⁺ + 2H₂O

(Given: log K₁ = 10.6, where K₁ is the equilibrium constant, ΔH° = −54 kJ mol⁻¹ and R = 8.314 J mol⁻¹ K⁻¹)

(rounded off to two decimal places)

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The equilibrium constant for the reaction

3 NO (g) ⇌ N₂O (g) + NO₂ (g)

at 25 °C is closest to:

[ΔG° = −104.18 kJ; R = 8.314 J mol⁻¹ K⁻¹]

Your answerChoose one option.

1.043

1.8 × 10¹⁸

1.651

5.7 × 10⁻¹⁹

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The reaction

CO (g) + Cl₂ (g) ⇌ COCl₂ (g)

at 500 °C, with initial pressures of 0.7 bar of CO and 1.0 bar of Cl₂, is allowed to reach equilibrium. The partial pressure of COCl₂ (g) at equilibrium is 0.15 bar. The equilibrium constant for this reaction at 500 °C (rounded off to two decimal places) is ______________.

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Consider the following phase diagram of CO₂ (not to scale). At equilibrium, the INCORRECT statement is:

Your answerChoose one option.

At 200 K, on increasing the pressure from 1 to 50 atm, CO₂ gas condenses to liquid.

It is not possible to obtain liquid CO₂ from gaseous CO₂ below 5.11 atm.

Both liquid and gas phase of CO₂ coexist at 298.15 K and 67 atm.

With increasing pressure, the melting point of solid CO₂ increases.

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Consider a two-state system at thermal equilibrium having energies 0 and 2kᵦT for which the degeneracies are 1 and 2, respectively. The value of the partition function at the same absolute temperature T is __________. (Round off to two decimal places) (kᵦ is the Boltzmann constant)

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Consider the following equilibrium

At 298 K, the standard molar Gibbs energies of formation, ΔfG°, of SO₂(g) and SO₃(g) are −300 and −371 kJ mol⁻¹, respectively. The value of the equilibrium constant, Kₚ, at this temperature is ______ × 10¹⁰. (Round off to the nearest integer)

(Gas constant R = 8.31 J mol⁻¹ K⁻¹)

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m₁ and m₂ are the slopes (dP/dT) of the solid-liquid equilibrium lines in the P-T phase diagrams of H₂O and CO₂, respectively. For P < 10 atm, the values of m₁ and m₂ are

Your answerChoose one option.

m₁ > 0 and m₂ > 0

m₁ > 0 and m₂ < 0

m₁ < 0 and m₂ < 0

m₁ < 0 and m₂ > 0

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GATE CY concept:equilibrium PYQs

How to practice concept:equilibrium

Question 58

Question 11

Question 52

Question 8

Question 22

Question 48

Question 3