Answer:
a) The Keq for aerobic oxidation (Keq = very large) is greater than Keq (Keq = 8.96x10^39) for anaerobic decomposition.
b) we can see that the work for aerobic oxidation is greater (ΔG° = -2878.9 kJ) than the work for anaerobic decomposition (ΔG° = 227.9 kJ)
Step-by-step explanation:
a)
having the reaction:
C6H12O6 + 6O2 = 6CO2 + 6H2O
we will calculate the Gibbs energy:
ΔG° = ΔG°products - ΔG°reactants
The products are the CO2 and H2O, the reactants are C6H12O6 and O2
ΔG° = ((6*(-394.4 kJ)) + (6*(-237.13 kJ))) - (-910.4 kJ + 6*(0)) = -2878.8 kJ
Keq = e^(-ΔG°)/R*T = e^-(-2878.8x10^3 J)/(8.314 * 298)) = this value is very large
For the next reaction:
C6H12O6 = 2C2H5OH + 2CO2
ΔG° = ((2*(-174.76 kJ)) + (2*(-394.4 kJ))) - (-910.4 kJ) = -227.9 kJ
Keq = e^-(-227.9x10^3/(8.314*298)) = 8.96x10^39
The Keq for aerobic oxidation is greater than Keq for anaerobic decomposition.
b)
The work obtained from aerobic oxidation is equal to ΔG° = -2878.9 kJ and the work obtained from anaerobic is equal to ΔG° = 227.9 kJ
we can see that the work for aerobic oxidation is greater than the work for anaerobic decomposition