Problem: Exercise 75. Cells use the hydrolysis of adenosine triphosphate, abbreviated as ATP, as a source of energy. Symbolically, this reaction can be written asATP(aq) + H2O(l) → ADP(aq) + H2PO4-(aq)where ADP represents adenosine diphosphate. For this reaction, ΔG° = —30.5 kJ/mol.a. Calculate K at 25°C.b. If all the free energy from the metabolism of glucoseC6H12O6(s) + 6O2(g) → 6CO2(g) + 6H2O(l)goes into forming ATP from ADP, how many ATP molecules can be produced for every molecule of glucose?One reaction that occurs in human metabolism is

FREE Expert Solution

a. Recall that ΔG˚rxn and K are related to each other:


ΔG°rxn=-RTlnK(-30.5 kJmol)(1x103 J1 kJ)=-(8.314 Jmol K)(25+273.15 K)lnK-30500 Jmol = -(2478.8 Jmol) lnKK = e30500 Jmol2478.8 Jmol

K = 2.20x105

b. Calculate Δ°G


ΔG°rxn=ΔG°f, prod-ΔG°f, reactΔG°rxn=[6 ΔG°f,(CO2) +6 ΔG°f,(H2O)] -[ΔG°f, (C6H12O6) -6 ΔG°f,(O2) ]ΔG°rxn=[6(-394.4)+ 6(-237.1) ] kJ-[(-910.6)-6(0)] kJ

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Problem Details

Exercise 75. Cells use the hydrolysis of adenosine triphosphate, abbreviated as ATP, as a source of energy. Symbolically, this reaction can be written as

ATP(aq) + H2O(l) → ADP(aq) + H2PO4-(aq)

where ADP represents adenosine diphosphate. For this reaction, ΔG° = —30.5 kJ/mol.

a. Calculate K at 25°C.
b. If all the free energy from the metabolism of glucose

C6H12O6(s) + 6O2(g) → 6CO2(g) + 6H2O(l)

goes into forming ATP from ADP, how many ATP molecules can be produced for every molecule of glucose?

One reaction that occurs in human metabolism is


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