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critical reaction in the production of energy to do work or drive chemical react

ID: 961610 • Letter: C

Question

critical reaction in the production of energy to do work or drive chemical reactions in biological system is the hydrolysis of adenosine triphosphate. ATP. to adenosine diphosphate. ADP, as described by ATP(aq)+H_2O(I) rightarrow ADP(aq)+HPO^2-_4(aq) for which deltaGdegree_rxn = -30.5 kJ/mol at 37.0 degreeC and pH 7.0. Calculate the value of deltaG_rxn in a biological cell in which [ATPJ = 5.0 mM. (ADP) = 0.60 mM. and [HPO^2-_4] = 5.0 mM. Is the hydrolysis of ATP spontaneous under these conditions?

Explanation / Answer

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

K = ( 0.6x10^- 3) ( 5x10^ -3) / ( 5x10^-3)

= 0.006

dG rxn = dGo + RT ln K    where T = 37 C = 37+273 = 310

        = -30.5 + ( 8.314 x 310/1000) ln 0.006                        ( R = 8.314 J/mol K = ( 8.314/1000) KJ/molK)

=   - 43.7 KJ /mol