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Calculate the standard potential of the cell Ag(s) | Ag+(aq, 0.0100 M) || Cu2+(aq, 1.00 M) | Cu(s) at 25°C.

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To calculate the standard potential of the cell, we need to use the Nernst equation:E_cell = E_cell -  RT/nF  * ln Q where:E_cell = cell potentialE_cell = standard cell potentialR = gas constant  8.314 J/molK T = temperature in Kelvin  25C = 298.15 K n = number of electrons transferred in the redox reactionF = Faraday's constant  96,485 C/mol Q = reaction quotientFirst, we need to determine the standard cell potential  E_cell . This can be found by subtracting the standard reduction potential of the anode from the standard reduction potential of the cathode:E_cell = E_cathode - E_anodeThe standard reduction potentials for the half-reactions are:Ag+ aq  + e-  Ag s   E = +0.799 VCu2+ aq  + 2e-  Cu s   E = +0.337 VSince Cu2+ is reduced and Ag+ is oxidized, the standard cell potential is:E_cell =  +0.337 V  -  +0.799 V  = -0.462 VNow, we need to determine the reaction quotient  Q . The balanced redox reaction is:2Ag+ aq  + Cu s   2Ag s  + Cu2+ aq The reaction quotient is given by:Q = [Cu2+] / [Ag+]^2Substitute the given concentrations:Q =  1.00 M  /  0.0100 M ^2 = 10000Now we can use the Nernst equation to find the cell potential:E_cell = E_cell -  RT/nF  * ln Q E_cell = -0.462 V -   8.314 J/molK  *  298.15 K  /  2 * 96485 C/mol   * ln 10000 E_cell = -0.462 V -  0.01299 V  * ln 10000 E_cell = -0.462 V -  0.01299 V  * 9.2103E_cell  -0.582 VSo, the standard potential of the cell at 25C is approximately -0.582 V.

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