A fuel cell designed to react grain alcohol with oxygen has the following net reaction:

CH3OH(l) + 3 O2(g) --> 2CO2(g) + 3H2O(l)

The maximum work one mole of alcohol can yield by this process is 1320 kJ. What is the theoretical maximum voltage this cell can achieve?

a) 0.760V b) 2.28V c) 1.14V d) 2.01V

Respuesta :

Answer:

b. E = 2,28V

Explanation:

The maximum work is the same than ΔG. As ΔG could be written as:

ΔG = nFE (1)

Where n is moles of electrons transferred, F is faraday constant (96485 J/Vmol) and E is the voltage of the cell.

For the reaction:

CH₃OH(l) + ³/₂O₂(g) → CO₂(g) + 2H₂O(l)

The oxidation state of C in CH₃OH is -2 but in CO₂ is +4, that means transferred electrons are +4 - -2 = 6e⁻

Replacing in (1):

1320x10³ J = 6mol e⁻×96485J/Vmol×E

E = 2,28V

I hope it helps!