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 diphosphate, ADP, as described by ATP(aq) + H_2O(l) rightarrow ADP(aq) + HPO^2-_4(aq) for which delta G degree _ = -30.5 kJ/mol at 37.0 degree C and pH 7.0. Calculate the value of delta G_ in a biological cell in which (ATP) = 5.0 mM, [ADP] = 0.60 mM, and (HPO^2-_4] = 5.0 mM. Is the hydrolysis of ATP spontaneous under these conditions? yes no

Explanation / Answer

K = [HPO42-][ADP]/[ATP]

K = 5.0 * 0.60 / 5.0

K = 0.60

we know the relation,

Delta G = deltaG0 + RTlnK

= - 30.5 + (0.008314 * 310.15 * ln(0.60))

= - 31.8 kJ/mol

SInce deltaG = - ve,

the hydrolysis reaction is spontaneous.

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