Chapter. 17 Assignment Cell Potential and Free Energy of a Lithium-Chlorine Cell

Question

Chapter. 17 Assignment Cell Potential and Free Energy of a Lithium-Chlorine Cell previous Cell Potential and Free Energy of a Lithium- Chlorine Cell Part A The standard reduction potentials of Iithium metal and chlorine gas are as follows: In thermodynamics, we determine the spontaneity of a reaction by the sign of G in electrochemistry, spontanety is determined by the sign of Ecell The values of G and E are related by the following formula: Reduction Reaction Li+ (aq) + e-Li(s) Cl2(g) + 2e-201-(aq)| potential -3.04 +1.36 where n is the number of moles of electrons transferred and F 96,500J/V.mol e is the Faraday constant. In a galvanic cell, the two half-reactions combine to 2Li(s) + Cla (g) 2Li+ (aq) + 2Cl-(aq) Calculate the cell potential of this reaction under standard reaction conditions. Express your answer with the appropriate units. Hints E 4.40 v Submit My Answers Give Up Correct This reaction has a relatively high cell potential The reduction of lithium has one of the high potentials known Part B Calculate the free energy aro of the reaction. Express your answer with the appropriate units. Hints

Explanation / Answer

Part B

G = -n F EoCell

Where n is the number of moles of electrons transferred in the reaction =2

Li ---> Li+ + e-

Cl2 + 2e- -> 2Cl-

Overall balanced reaction:

2Li + Cl2 + 2e- -> 2Li+ + 2e- + 2Cl-

F = 96,500 J/V*mol (given)

EoCell = 4.40V (calculated in part A)

So, G = – (2 mol)(96,485 J/V•mol)(4.40 V) = – 849068 J

G = –849068 J

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