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Electrochemistry / ThermodynamicsFRQ

There is great current interest in developing fuel cells based on the reaction, 2CH3OH(l) + 3O2(g) →Electrochemistry / Thermodynamics Chemistry Question

Problem Context

There is great current interest in developing fuel cells based on the reaction,
2CH3OH(l) + 3O2(g) → 2CO2(g) + 4H2O(l)

a.i.

Write a balanced equation for the half-reaction that occurs in acid solution for such a fuel cell at the;
i. anode.

Model Answer

CH3OH + H2O → CO2 + 6H+ + 6e–

a.ii.

ii. cathode.

Model Answer

O2 + 4H+ + 4e– → 2H2O

b.

If the E˚ value for the cell reaction is 1.21 V, calculate the value of ∆G˚.

Model Answer

ΔGo = –nFEo = –(12 mol)(96500 J/V⋅mol)(1.21 V) = –1.40×103 kJ

c.

The E˚ value for the O2(g) half reaction is 1.23 V in 1 M H+, calculate the E˚ value expected in 1 M OH–.

Model Answer

Use the Nernst equation:

so,

= 0.40 V

d.

State two advantages of carrying out this reaction in a fuel cell rather than burning methanol and converting the heat into electricity.

Model Answer

  1. No wasted heat. 2. No energy lost during conversion.
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