The cleavage of citrate to acetate and oxaloacetade has Gof -680 cal/mol. The K

Question

The cleavage of citrate to acetate and oxaloacetade has Gof -680 cal/mol. The Keq of the citrate synthetasereaction is 3.2 x 105. From this information, calculatethe standard free energy of hydrolysis of acetyl-s-coA and theKeq for the hydrolysis. The two reactions given areshown below.

1.       Citrate = acetate + oxaloacetate G= -680 cal/mol

2.       Acetyl-s-coA +oxaloacetade +H2O = citrate+coash Keq = 3.2 x 105

The reaction of the hydrolysis of acetyl-s-coA is givenbelow

Acetyl-s-coA + H2O = acetate +COASH

Temperature = 25?C

Explanation / Answer

Since you're given: one free energy, a temperature, and anequilibrium constant, the free energy for the second reaction canbe calculated from the following relation: G=-RTlnK, and in this case, it will equal --> -31,406J/mol I prefer joules, so I'm going to convert the first free energy--> -2,847 J/mol The citrate and oxaloacetate cancel out, giving us theequation: Acetyl-s-coA + H2O = acetate + COASH So we just sum up our free energies: -31,406 + -2,847 = -34,253 J/mol, or -8.18 E3 cal/mol

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