What is the [glucose-6-phosphate]/[glucose] ratio at equilibrium when this reaction is coupled to ATP hydrolysis in the coupled reaction glucose + ATP ⇌ glucose-6-phosphate + ADP and [ATP] = ADP]? For ATP hydrolysis ∆G'°= -30.5 kJ/mol at 25°C.

Introduction to General, Organic and Biochemistry
11th Edition
ISBN:9781285869759
Author:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Chapter7: Reaction Rates And Chemical Equilibrium
Section: Chapter Questions
Problem 7.64P: 7-64 As we shall see in Chapter 20, there are two forms of glucose, designated alpha and betawhich...
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For the hydrolysis of glucose-6-phosphate,

glucose-6-P + H₂O ⇌ glucose + Pi

∆G'°= -13.8 kJ/mol and K'eq = 3.81×10⁻³ at 25°C. Therefore the [glucose-6-phosphate]/[glucose] ratio is about 1/260 at equilibrium.

What is the [glucose-6-phosphate]/[glucose] ratio at equilibrium when this reaction is coupled to ATP hydrolysis in the coupled reaction

glucose + ATP ⇌ glucose-6-phosphate + ADP

and [ATP] = ADP]? For ATP hydrolysis ∆G'°= -30.5 kJ/mol at 25°C. 

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