To be metabolized, glucose must be converted to glucose 6-phosphate. However, at equilibrium, a mixture of glucose and phosphate at concentrations that exist in cells would contain little glucose 6-phosphate. How do cells circumvent this problem?
Phosphate from the hydrolysis of ADP is used to phosphorylate glucose.
An enzyme raises the activation energy barrier to favor glucose 6-phosphate formation.
An enzyme changes the equilibrium constant for the reaction to favor glucose 6-phosphate formation.
A) ATP is used as the donor of the phosphate group, and the formation of glucose 6-phosphate is endergonic.
B) ATP is used as the donor of the phosphate group, and thus the formation of glucose 6-phosphate is exergonic.
C) ATP is used as the donor of the phosphate group, and thus the formation of glucose 6-phosphate is exergonic.

Since the ATP is a highly energetic molecule, to take one group phosphate from it, is a process that is exergonic. This is the part in which the hydrolysis is used to phosphorylate glucose.

Later, when the enzyme raises the activation energy to favor the formation of glucose 6 - phosphate, this is a reaction that in thermodynamic terms is not in favor, so is an endergonic reaction.

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