GATE XL 2022 Paper 1 — page 15

Questions 43–45 of 122. Imported answers require review unless explicitly marked reviewed.

The standard free energy changes for conversion of phosphoenol pyruvate (

) to pyruvate, and

synthesis are shown below.

The starting concentrations of

, pyruvate, and

are 25, 25, 50, and 50

, respectively. The value of universal gas constant (

) is 8.315

. The actual free energy change in

for the reaction

carried out at 37 °C will be ____ (rounded off to one place of decimal).

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The dissociation constant for a receptor-ligand pair is

. The ligand was added to a solution of the receptor such that the receptor was 50% saturated at equilibrium. Assume that the receptor has one ligand binding site. The concentration of the free ligand at equilibrium in

, correct to the nearest integer, should be ____.

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The half-maximal velocity of an enzyme catalyzed reaction was found at a substrate concentration of

. This enzyme follows Michaelis-Menten kinetics. In the presence of a competitive inhibitor, the half-maximal velocity was found at a substrate concentration of

. Given that the enzyme-inhibitor pair has a dissociation constant of

, the concentration of the competitive inhibitor in

, rounded off to one place of decimal, was____.

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2022 · Paper 1

Question 43

Question 44

Question 45