To calculate the polarization resistance Rp of the copper electrode, we can use the following equation:Rp = dE/di = Tafel slope / n * F * exchange current density where dE is the change in potential, di is the change in current density, n is the number of electrons transferred in the reaction n = 2 for copper , F is the Faraday constant F = 96485 C/mol , and the exchange current density is given as 0.1 mA/cm.First, we need to convert the Tafel slope from mV/decade to V/decade:Tafel slope = 30 mV/decade * 1 V/1000 mV = 0.03 V/decadeNext, we need to find the overpotential using the Tafel equation: = Tafel slope * log10 current density / exchange current density = 0.03 V/decade * log10 10 mA/cm / 0.1 mA/cm = 0.03 V/decade * log10 100 = 0.03 V/decade * 2 = 0.06 VNow we can calculate the polarization resistance:Rp = dE/di = Tafel slope / n * F * exchange current density Rp = 0.06 V / 2 * 96485 C/mol * 0.1 mA/cm * 1 A/1000 mA * 1 mol/96485 C Rp = 0.06 V / 2 * 0.1 A/cm Rp = 0.06 V / 0.2 A/cmRp = 0.3 cmThe polarization resistance of the copper electrode in a 0.1 M copper sulfate solution at 25C is 0.3 cm.