(Electrochemistry ±Cell Potential and Free Energy Constants I Petiodic Table ? P

Question

(Electrochemistry ±Cell Potential and Free Energy Constants I Petiodic Table ? Part B Free-energy change?G" is related to cell potential, E"by the equation AGFE" where n is the number of moles of electrons transferred and F 06,500 C/(mol e) is the Faraday constant. When E is measured in volts AG must be in joules since 1 J 1C.V Calculate the standard cell potential at 25 C for the reaction x(s) +2Y' (aq)-x» (aq) +2Y(s) . where H'-927 kJ and S', .167 J/K Express your answer to three significant figures and include the appropriate units. View Available Hint(s) Submit Previous.AnwS × incorrect: Try Again: 4 attempts remaining

Explanation / Answer

We have

dG = dH – TdS

Here, dH = -927 kJ = -927000 J, dS = -167 J/K, T = 298

Now

dG = -927000 + (298 x 167) J = -877234 J

Again,

dG = -nEF = - (2)E(96500) = -193000 E

E = 877234/193000 V = 4.54 V

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