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Calculate the standard electrode potential of an electrode that is in contact with a solution containing 0.1 M copper (II) ions and its concentration of Cu2+ ions is in equilibrium with a hydrogen electrode at 1 atm hydrogen pressure and pH = 0.

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ago by (350 points)
To calculate the standard electrode potential of the given electrode, 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.For the given problem, we have a copper  II  ion solution in equilibrium with a hydrogen electrode at 1 atm hydrogen pressure and pH = 0. The half-cell reactions are:1. Cu2+ + 2e-  Cu  Reduction 2. 2H+ + 2e-  H2  Oxidation The Nernst equation is given by:E = E -  RT/nF  * ln Q Where:E = electrode potentialE = standard electrode potentialR = gas constant  8.314 J/molK T = temperature  in Kelvin, assuming 298 K or 25C n = number of electrons transferred  2 for both half-cell reactions F = Faraday's constant  96485 C/mol Q = reaction quotientFor the copper half-cell, we have:E_Cu = E_Cu -  RT/2F  * ln [Cu2+] For the hydrogen half-cell, we have:E_H = E_H -  RT/2F  * ln [H+]^2 / P_H2 Since the hydrogen electrode is a standard hydrogen electrode  SHE , its standard potential E_H is 0 V. The pH of the solution is 0, so the concentration of H+ ions is 10^0 = 1 M. The hydrogen pressure P_H2 is given as 1 atm. Therefore, the Nernst equation for the hydrogen half-cell becomes:E_H = 0 -  RT/2F  * ln 1 / 1  = 0 VNow, we need to find the standard electrode potential E_Cu for the copper half-cell. The standard reduction potential for the Cu2+/Cu half-cell is +0.34 V. So, we can plug this value into the Nernst equation for the copper half-cell:E_Cu = 0.34 -  8.314 * 298 /  2 * 96485   * ln 0.1 E_Cu  0.34 -  0.043 / 2  * ln 0.1 E_Cu  0.34 + 0.096E_Cu  0.436 VSo, the standard electrode potential of the given electrode in contact with a 0.1 M copper  II  ion solution in equilibrium with a hydrogen electrode at 1 atm hydrogen pressure and pH = 0 is approximately 0.436 V.

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