Problem: Cells use the hydrolysis of adenosine triphosphate (ATP) as a source of energy (Figure19.19 in the textbook). The conversion of ATP to ADP has a standard free-energy change of - 30.5 kJ/mol.If all the free energy from the metabolism of glucose, C6 H12 O6 (s) + 6O2 (g)  →  6CO2 (g) + 6H2 O(l) goes into the conversion of ADP to ATP, how many moles of ATP can be produced for each mole of glucose?

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We’re being asked to determine the moles of ATP produced for each mole of glucose if all the free energy from the metabolism of glucose goes into the conversion of ADP to ATP.

C6 H12 O6 (s) + 6O2 (g)  →  6CO2 (g) + 6H2 O(l)


The standard free energy change of a reaction (ΔG˚rxn) is given by the following equation:

ΔGrxn = ΔHrxn - TΔSrxn


We’re not given the ΔH˚f and S˚ of each reactant and product. But we can get them from a textbook or the internet.

Reactant or product

ΔHf° (kJ/mol)

S° (J/mol-K)

C6H12O6 (s)

-1273.3

212.1

O2 (g)

0

205.2

CO2 (g)

-393.5

213.8

H2O (l)

-285.8

70.0

 

We can use these to calculate for ΔH˚rxn and ΔS˚rxn separately.

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Problem Details

Cells use the hydrolysis of adenosine triphosphate (ATP) as a source of energy (Figure19.19 in the textbook). The conversion of ATP to ADP has a standard free-energy change of - 30.5 kJ/mol.

If all the free energy from the metabolism of glucose, C6 H12 O6 (s) + 6O2 (g)  →  6CO2 (g) + 6H2 O(l) goes into the conversion of ADP to ATP, how many moles of ATP can be produced for each mole of glucose?

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