Answer:
b. -32.7 kJ/mol
Step-by-step explanation:
For this metabolic reaction we have two coupled reactions taking place, which are:
(1) Acetoacetyl-CoA ---> Acetoacetate + CoA
(2) Succinyl-CoA + Acetoacetate ---> Acetoacetyl-CoA + Succinate
So the overall variaton of free energy (ΔG°) for the metabolic reaction will be the sum of the individual free energy variations of each of the coupled reactions:
ΔG°₁ + ΔG°₂ = ΔG°total.
In this case, the ΔG°total is the result of the Succinul-CoA hydrolysis, which is -33.9 kJ/mol. And we already have the variation of free energy for reaction (2), which is ΔG°₂ = -1.25 kJ/mol. So with this we can obtain the value for ΔG°₁, which corresponds to the variation of free energy for the hydrolysis of Acetoacetyl-CoA.
ΔG°₁ + (-1.25 kJ/mol) = ΔG°total.
ΔG°₁ = ΔG°total - ΔG°₂
ΔG°₁ = -33.9 kJ/mol - (-1.25 kJ/mol)
ΔG°₁ = -33.9 kJ/mol - (-1.25 kJ/mol)
ΔG°₁ = -33.9 kJ/mol + 1.25 kJ/mol)
ΔG°₁ = -32.65 kJ/mol → rounding decimals → -32.7 kJ/mol