Living organisms use energy from the metabolism of food to create an energy-rich molecule called adenosine triphosphate (ATP). The ATP then acts as an energy source for a variety of reactions that the living organism must carry out to survive. ATP provides energy through its hydrolysis, which can be symbolized as follows:
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\Delta G_{{\rm{rxn}}}^\circ = -30.5 {\rm{ kJ}}
where ADP represents adenosine diphosphate and Pi represents an inorganic phosphate group (such as HPO_4 ^2-).
a)Calculate the equilibrium constant, K, for the above reaction at 298 {\rm K}.
b)The free energy obtained from the oxidation (reaction with oxygen) of glucose {\rm{(C}}_6 {\rm{H}}_{12} {\rm{O}}_6 ) to form carbon dioxide and water can be used to re-form {\rm ATP} by driving the above reaction in reverse. Calculate the standard free energy change for the oxidation of glucose.
c)Estimate the maximum number of moles of {\rm ATP} that can be formed by the oxidation of one mole of glucose.