Fructose-1-phosphate can be hydrolyzed into fructose + inorganic phosphate (P_i) with a $\Delta$G° of -16.0 kJ/mol. If ATP can be hydrolyzed into ADP + P_i with a $\Delta$G° of -30.5 kJ/mol, what is the free energy change for the reaction of fructose + ATP $\rightarrow$ fructose 1-phospate + ADP? A) -46.5 kJ/mol B) -14.5 kJ/mol C) 46.5 kJ/mol D) 14.5 kJ/mol E) -1.4 Genetic Foundations5 kJ/mol

Question

Quizplus · Accepted Answer

From the given data, we can write the reaction as: 
fructose + ATP → fructose 1-phosphate + ADP + inorganic phosphate 
The free energy change for this reaction can be calculated using the following formula:

∆G° = ∆G°f, products - ∆G°f, reactants

The standard free energy change (∆G°) for the reaction can be calculated by adding the standard free energy changes (∆G°f) of the products and subtracting the sum of the reactants.

∆G°f of fructose 1-phosphate = 0 kJ/mol (given) 
∆G°f of ADP = -30.5 kJ/mol (given)

The reactants are fructose and ATP, and we need to use the given free energy changes (∆G°) to calculate their standard free energy changes (∆G°f).

∆G° of fructose + inorganic phosphate → fructose 1-phosphate = -16.0 kJ/mol (given)

Thus, 
∆G°f of fructose = ∆G°f of fructose 1-phosphate + ∆G° of inorganic phosphate to fructose = 0 + (+16.0) = +16.0 kJ/mol

∆G° of ATP → ADP + inorganic phosphate = -30.5 kJ/mol (given)

Thus, 
∆G°f of ATP = ∆G°f of ADP + ∆G° of inorganic phosphate to ATP = -30.5 - (-16) = -14.5 kJ/mol

Now we can substitute the values in the formula to calculate the ∆G° for the reaction:

∆G° = ∆G°f, products - ∆G°f, reactants 
∆G° = (∆G°f of fructose 1-phosphate + ∆G°f of ADP) - (∆G°f of fructose + ∆G°f of ATP) 
∆G° = (0 + (-30.5)) - (16.0 + (-14.5)) 
∆G° = -14.5 kJ/mol

Therefore, the free energy change for the reaction of fructose + ATP → fructose 1-phosphate + ADP is -14.5 kJ/mol. Hence, the answer is B.

Fructose-1-Phosphate Can Be Hydrolyzed into Fructose + Inorganic Phosphate (Pi) Δ\DeltaΔ

Fructose-1-Phosphate Can Be Hydrolyzed into Fructose + Inorganic Phosphate (P_i) $\Delta$