Map ral Chemistry 4th Edition University Science Books presented by Sapling Lear

Question

Map ral Chemistry 4th Edition University Science Books presented by Sapling Learning 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) ? ADP(aq)+HPO:-(aq) for which AG rxn30.5 kJ/mol at 37.0 C and pH 7.0. Calculate the value of AGrn in a biological cell in which ATP] = 5.0 mM, [ADP] = 0.50 mM, and [HP042-] = 5.0 mM. Number kJ/ mol rxn Is the hydrolysis of ATP spontaneous under these conditions? O yes O no

Explanation / Answer

K = ([HPO4-2]*[ADP])/[ATP]
= (5*10^-3*0.5*10^-3)/(5.0*10^-3)
= 0.50*10^-3

(delta G)0 = -30.5 KJ/mol
= -30500 J/mol
T = 37 oC
= 310 K
use,
(delta G)rxn = (delta G)0 + R*T*lnK
= -30500 + 8.314*310*ln(0.50*10^-3)
= -30500 + 2577.3*(-7.60)
= -30500 - 19589.8
= -50089.8 J/mol
= 50.1 KJ/mol

since, (delta G)rxn is negative
so, reaction is spontaneous
Answer : 50.1 KJ/mol

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