The standard free energy ($\Delta G'$) values of reactions catalyzed by citrate lyase and citrate synthetase are -670 and -8192 cal/mol, respectively.
$\Delta G_1' = -670$ cal/mole
$\Delta G_2' = -8192$ cal/mole
The standard free energy (in cal/mol) of acetyl-CoA hydrolysis is ____ (correct to integer number).
Reaction 1 (citrate lyase):
$\text{Citrate} \rightarrow \text{Acetate} + \text{Oxaloacetate}$
$\Delta G'_1 = -670 \text{ cal/mol}$
Reaction 2 (citrate synthetase):
$\text{Acetyl-CoA} + \text{Oxaloacetate} + H_2O \rightarrow \text{Citrate} + \text{CoA}$
$\Delta G'_2 = -8192 \text{ cal/mol}$
Add Reaction 1 and Reaction 2:
Left side:
$\text{Acetyl-CoA} + \text{Oxaloacetate} + H_2O + \text{Citrate}$
Right side:
$\text{Citrate} + \text{CoA} + \text{Acetate} + \text{Oxaloacetate}$
Cancel common species:
Citrate and Oxaloacetate cancel.
Net reaction:
$\text{Acetyl-CoA} + H_2O \rightarrow \text{Acetate} + \text{CoA}$
This is acetyl-CoA hydrolysis.
$\Delta G' = \Delta G'_1 + \Delta G'_2$
$\Delta G' = (-670) + (-8192)$
$\Delta G' = -8862 \text{ cal/mol}$