GATE CY year:2023 PYQs & Answers — Page 6

Questions 51–60 of 65. Imported answers require independent review unless marked reviewed.

The reaction(s) in which inversion of configuration occur(s) is(are)

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Diagram for Chemistry question 51 (figure 2)

Diagram for Chemistry question 51 (figure 3)

Diagram for Chemistry question 51 (figure 4)

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The correct statement(s) regarding myoglobin (Mb) and haemoglobin (Hb) is(are)

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At low partial pressure of O₂ (e.g., 5 kPa), the O₂ affinity of Hb lowers upon lowering the pH

Binding of the first O₂ molecule to Hb results in lower affinity for the binding of second O₂ molecule

Metal center in deoxy-Mb is low-spin whereas it is high-spin in the case of oxy-Mb

One end of O₂ binds to the metal center in oxy-Mb and the other end of the bound O₂ is H-bonded with imidazole-NH of a distal histidine

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The correct statement(s) regarding Co₂(CO)₈ is(are)

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It reacts with Na to give Na[Co(CO)₄]

It contains three bridging carbonyls

It can be prepared by reductive carbonylation of Co(OAc)₂·4H₂O

Two isomers exist in hexane solution

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The compound(s) having [Xe]4f¹ configuration is(are) (Given the atomic numbers Ce:58, Lu:71, Pr:59 and Nd:60)

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Na₃[Ce(NO₃)₆]

Na₃[LuCl₆]

PrO₂

Nd(NR₂)₃ (R = SiMe₃)

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The correct statement(s) for XeF₂ is(are)

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Its bonding is best explained by classical 2-centered-2-electron bonds

Its bonding is best explained by a non-classical 3-centered-4-electron bond

It contains nine lone pairs of electrons

Its point group is D∞h

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For the non-dissociative adsorption of a gas on solid, (i) the Freundlich isotherm is given by

where

is surface coverage,

is pressure,

and

are empirical constants; and (ii) the BET isotherm is given by

where

and

are empirical constants, and

. The correct statement(s) is(are)

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At low surface coverage, the Langmuir isotherm reduces to the Freundlich isotherm with

At high surface coverage, the Langmuir isotherm reduces to the Freundlich isotherm with

At very low pressure (

), the BET isotherm reduces to the Langmuir isotherm

At very high pressure (

), the BET isotherm reduces to the Langmuir isotherm

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Two different enzyme catalysis reactions I and II have identical Y-intercepts for the Lineweaver-Burke (equation given below) plots. The slope for reaction I is twice that of reaction II.

If the initial concentrations of enzymes in I and II are same, the correct statement(s) is(are)

where

and

are rate and maximum rate;

is Michaelis-Menten constant, and [S] is substrate concentration.

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Reactions I and II have same turn over number

Michaelis-Menten constants for reactions I and II are identical

Michaelis-Menten constant for reaction I is twice that of reaction II

The rates of the elementary steps for reactions I and II are identical

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The enthalpy change for the exothermic reaction between BeI₂ and HgF₂ is ______ kJ mol⁻¹ (rounded off to the nearest integer)

(Given: Bond dissociation energy (in kJ mol⁻¹) for Be–F = 632, Be–I = 289, Hg–F = 268 and Hg–I = 145)

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Number of carbon atoms connected to the metal center in [W(C₆₀)(CO)₅] is ______ (rounded off to the nearest integer)

(Given: atomic number of W is 74)

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Two-component solid-liquid system of naphthalene-benzene forms a simple eutectic mixture. Assuming that naphthalene-benzene forms an ideal solution, the mole fraction of naphthalene in benzene at 300 K and 1 bar is ______ (rounded off to two decimal places)

(Given: Freezing point (T₍fp₎) and enthalpy of fusion (ΔH₍fus₎) of naphthalene are 353 K and 19.28 kJ mol⁻¹, respectively and gas constant (R) = 8.31 J K⁻¹ mol⁻¹)

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GATE CY year:2023 PYQs

Question 51

Question 52

Question 53

Question 54

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60