Cells use the hydrolysis of adenosine triphosphate, abbreviated as ATP, as a sou

Question

Cells use the hydrolysis of adenosine triphosphate, abbreviated as ATP, as a source of energy. Symbolically, this reaction can be written as ATP(aq) + H_2O(l) rightarrow ADP(aq) + H_2PO_4^- (aq) where ADP represents adenosine diphosphate. For this reaction. Delta G degree = -30.5 kJ/mol. a. Calculate K at 25 degree C. b. If all the free energy from the metabolism of glucose C_6H_12O_6(s) + 6O_2(g) rightarrow 6CO_2(g) + 6H_2O(l) goes into forming ATP from ADP, how many ATP molecules can be produced for every molecule of glucose ?

Explanation / Answer

a) Given that Go = - 30.5 kJ/mol = - 30500 J/mol

       We know that

        Go = -RT ln K     where R = 8.314 J/mol/K

            T = 25oC = 25 + 273 K = 298 K

Then,

Go = -RT ln K

K = e^-(Go /RT)

     = e^-(-30500 J/K/mol / 8.314 J/mol/K x 298 K)

     = 222001

K = 222001

Therefore, K = 222001

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