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Consider a fuel cell that uses the reaction of ethanol with oxygen to produce electricity, CH3CH2OH (l) + 3O2 (g) -----> 2CO2 (g) + 3 H2O (l) Use thermodynamic data (https://sites

Chemistry Jan 25, 2021

Consider a fuel cell that uses the reaction of ethanol with oxygen to produce electricity,

CH3CH2OH (l) + 3O2 (g) -----> 2CO2 (g) + 3 H2O (l)

Use thermodynamic data (https://sites.google.com/site/chempendix/thermo) to determine the value of E°cell for this cell at 25 °C.

Expert Solution

Gibbs free energy change = Gibbs energy of products- Gibbs energy of reactants=

Gibbs free energy data H2O = -237.1 Kj/mol CO2=-394.4 Kj/mol O2=0 and C2H5OH= -174.8 Kj/mol

standard Gibbs free energy change=2*(-394.4)+3*(-237.1)-{-174.8} = -1325.3 Kj

2,3 1 are stoichiometric coefficients for CO2, H2O and Ethanol respectively

the ionic equation can be written as

3H2O + CH3CH2OH ===> 2CO2 + 12H+ + 12e-

delG= -nFE⁰ F= 96.5 Kj/volt n= 12

EO= -delG/nF =1325.3/ 12*96.5=1.14 Volts

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