GATE CY year:2021 PYQs & Answers — Page 3

Questions 21–30 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 3 of 7

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 of NiBr₂ with two equivalents of PPh₃ in CS₂ at −78 °C gives a red-colored diamagnetic complex, [NiBr₂(PPh₃)₂]. This transforms to a green-colored paramagnetic complex with the same molecular formula at 25 °C. The geometry and the number of unpaired electrons in the green-colored complex, respectively, are:

Your answerChoose one option.

tetrahedral and 1

tetrahedral and 2

square planar and 2

square planar and 4

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The rate of the substitution reaction of [Co(CN)₅Cl]³⁻ with OH⁻ to give [Co(CN)₅(OH)]³⁻

Your answerChoose one option.

depends on the concentrations of both [Co(CN)₅Cl]³⁻ and OH⁻

depends on the concentration of [Co(CN)₅Cl]³⁻ only

is directly proportional to the concentration of OH⁻ only

is inversely proportional to the concentration of OH⁻

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The Δ₀ of [Cr(H₂O)₆]³⁺, [CrF₆]³⁻ and [Cr(CN)₆]³⁻ follows the order:

Your answerChoose one option.

[Cr(H₂O)₆]³⁺ > [CrF₆]³⁻ > [Cr(CN)₆]³⁻

[CrF₆]³⁻ > [Cr(H₂O)₆]³⁺ > [Cr(CN)₆]³⁻

[Cr(CN)₆]³⁻ > [Cr(H₂O)₆]³⁺ > [CrF₆]³⁻

[CrF₆]³⁻ > [Cr(CN)₆]³⁻ > [Cr(H₂O)₆]³⁺

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The phase diagram of CO₂ is shown below:

The correct statement(s) about CO₂ is/are:

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

Below T_c, it does not exist in liquid state.

Above T_c, it does not exist in liquid state.

At T_c, it can exist in all three phases.

Above T₁, it does not exist in solid state.

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Acceptable wavefunctions for a quantum particle must be:

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

odd

even

single-valued

continuous

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The characters of E, C₂, σᵥ, and σ′ᵥ symmetry operations, in this order, for valid irreducible representation(s) of the C₂ᵥ point group is/are:

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

1, 1, 1, 1

−1, 1, 1, −1

1, −1, 1, −1

1, −1, −1, −1

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The normal mode(s) of vibration of H₂O is/are:

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

Diagram for Chemistry question 18 (figure 2)

Diagram for Chemistry question 18 (figure 3)

Diagram for Chemistry question 18 (figure 4)

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A reversible heat engine absorbs 20 kJ of heat from a source at 500 K and dissipates it to the reservoir at 400 K. The efficiency of the heat engine is ______ %.

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Among the following eight compounds,

the number of compound(s) which can exhibit stereoisomerism is ______.

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GATE CY year:2021 PYQs

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20