Chapter 16, Problem 75E

Cells use the hydrolysis of adenosine triphosphate, abbreviated as ATP, as a source of energy. Symbolically, this reaction can be written as

$\text{ATP}\left(aq\right)+{\text{H}}_{\text{2}}\text{O}\left(l\right)\to \text{ADP}\left(aq\right)+{\text{H}}_{\text{2}}{\text{PO}}_{\text{4}}{}^{-}\left(aq\right)$

where ADP represents adenosine diphosphate. For this reaction, ∆G° =−30.5 kJ/mol.

a. Calculate K at 25°C.

b. If all the free energy from the metabolism of glucose

${\text{C}}_{\text{6}}{\text{H}}_{\text{12}}{\text{O}}_{\text{6}}\left(s\right)+6{\text{O}}_{\text{2}}\left(g\right)\to 6{\text{CO}}_{\text{2}}\left(g\right)+6{\text{H}}_{\text{2}}\text{O}\left(l\right)$

goes into forming ATP from ADP, how many ATP molecules can be produced for every molecule of glucose?