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 ATP(aq) + HPO4 2-(aq) for which Delta G0r Times n = -30.5 kJ/mol at 37.0 degree C and pH 7.0. Calculate the value of AGr Times n in a biological cell in which [ATP] = 5.0 mM, [ADP] = 0.90 mM, and [HPO42-] = 5.0 mM. Is the hydrolysis of ATP spontaneous under these conditions?

Explanation / Answer

To determine deltaG lets calculate the Kc

Kc = [H2PO4-2] [ADP]/ [ATP] = 5X10-3 X 0.9X10-3 / 5X10-3

So Kc = 0.9 X10-3

Delta G = -RTlnK = -2.303 X 310 X ln(0.9X10-3) = -2.303 X 310 X(-7.013) = 5006.79

Delta G = positive, so it will non spontaneous.

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