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Calculate the standard electrode potential for a silver electrode in contact with a silver ion solution of concentration 0.010 M. The reduction half-equation is Ag+ + e- → Ag.

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To calculate the standard electrode potential for a silver electrode in contact with a silver ion solution of concentration 0.010 M, we can use the Nernst equation. The Nernst equation relates the reduction potential of an electrochemical reaction  half-cell or full cell reaction  to the standard electrode potential, temperature, and activities of the chemical species undergoing reduction and oxidation.The Nernst equation is given by:E = E -  RT/nF  * lnQwhere:E = electrode potentialE = standard electrode potentialR = gas constant  8.314 J/molK T = temperature  in Kelvin, 298 K for room temperature n = number of electrons transferred in the half-reaction  1 for Ag+ + e-  Ag F = Faraday's constant  96485 C/mol Q = reaction quotient, which is the ratio of the concentrations of the products to the reactantsFor the reduction half-equation Ag+ + e-  Ag, the standard electrode potential  E  for silver is +0.7996 V.The reaction quotient  Q  for this half-reaction is given by:Q = [Ag]/[Ag+]Since the concentration of solid silver  [Ag]  is constant and does not affect the reaction quotient, we can simplify the equation to:Q = 1/[Ag+]The concentration of silver ions [Ag+] is given as 0.010 M. Therefore, Q = 1/0.010 = 100.Now we can plug the values into the Nernst equation:E = 0.7996 -  8.314 * 298 /  1 * 96485   * ln 100 E = 0.7996 -  0.0257  * ln 100 E = 0.7996 -  0.0257  * 4.605E  0.7996 - 0.1183E  0.6813 VThe standard electrode potential for a silver electrode in contact with a silver ion solution of concentration 0.010 M is approximately 0.6813 V.

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