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 systems is the hydrolysis of adenosine triphosphate, ATP, to adenosine diphosphate, ADP, as decribed by ATP(aq) + H_2O(l) rightarrow ADP(aq) + HPO_4^2-(aq) for which Delta G degree _rxn = -30.5 kJ/mol at 37.0 degree c and PH 7.0 calculate the value of Delta G_rxn in a biological cell in which [ATP] = 5.0 mM[ADP] = 0.40 mM, and [HPO_4^2-] = 5.0 mM Is the hydrolysis of APT spontaneous under these conditions? yes no

Explanation / Answer

dG = dG° + RT*ln(Q)

Q = [ADPO][HPO4-2] / [ATP]

Q = (0.4*10^-3)(5*10^-3)/(5*10^-3) = 0.0004

dG = dG° + RT*ln(Q)

dG = -30500 + 8.314*(37+273)*ln(0.0004) = -50665.226J/mol

dG = -50.665 kJ/mol

this is spontanous, since dG < 0

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