A critical reaction in the production of energy to do work or drive chemical rea

Question

A critical reaction in the production of energy to do work or drive chemical reactions in biological system is the hydrolysis of adenosine triphosphate ATP, to adenosine diphosphate, ADP, as described by ATP (aq) + H_2O(l) rightarrow ADP (aq) + HPO^2-_4 (aq) for which Delta G degree_rxn = -30.5 kJ/mol at 25.0 degree C and pH 7.0. Calculate the value of Delta G degree_rxn in a biological cell (37 degree C) in which [ATP] = 5.0 mM, [ADP] = 0.80 mM, and [HPO_4^2-] = 5.0 mM. Is the hydrolysis of ATP spontaneous under these conditions? yes no

Explanation / Answer

dG = dG° + RT*ln(Q)

T = 37°C = 37+273 = 310 K, R = 8.31 4J/molK

dG° = -30500 J/mol

Q = [ADP][HPO4-2]/([ATP])

Q = (0.8*10^-3)(5*10^-3)/(5*10^-3) = 0.0008

dG = dG° + RT*ln(Q)

dG = -30500 + 8.314*310*ln(0.0008)

dG = -48878.750 J/mol

dG = - -48.879 kJ/mol

this must be spontaneous since dG < 0

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