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 described by ATP(aq) + H2O(l) rightarrow ADP(aq) + HPO2-4 (aq) for which Delta G degree r Times n = -30.5 kJ/mol at 37.0 degree C and pH 7.0. Calculate the value of Delta Gr Times n in a biological cell in which [ATP] = 5.0 mM, [ADP] = 0.80 mM, and [HP0422-] = 5.0 mM. Is the hydrolysis of ATP spontaneous under these conditions?

Explanation / Answer

for the reaction

reaction quotient Q = [HPO4-2][ADP]/[ATP]

        = 5*0.8/5 = 0.8 mM

   = 8*10^-4 M

DGrxn   = DG0rxn +RTlnQ

R = 8.314 j.K-1.mol-1

T= 37+273 = 310 k

   = -30.5 + 8.314*310*2.303 log 8*10^-4

   =?48.9 kj/mol

As DG is -ve . so that it is spontaneous.reaction.

Yes

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