To calculate the exchange current density i0 for the zinc electrode, we can use the Tafel equation:i = i0 * exp * F * / R * T - exp - * F * / R * T where:i = current density A/m i0 = exchange current density A/m = transfer coefficient dimensionless F = Faraday's constant 96485 C/mol = overpotential V R = gas constant 8.314 J/molK T = temperature K First, we need to convert the temperature from Celsius to Kelvin:T = 25C + 273.15 = 298.15 KNow, we can rearrange the Tafel equation to solve for i0:i0 = i / exp * F * / R * T - exp - * F * / R * T We are given the overpotential as 0.05 V and the transfer coefficient as 0.5. However, we do not have the current density i value. To find the current density, we can use the Nernst equation:E = E0 + R * T / * F * ln [Zn2+]/[Zn] where:E = electrode potential V E0 = standard reduction potential V [Zn2+] = concentration of Zn2+ ions M [Zn] = concentration of Zn atoms M Since the concentration of Zn atoms is negligible compared to the concentration of Zn2+ ions, we can assume [Zn] 0. Therefore, the Nernst equation simplifies to:E = E0 + R * T / * F * ln [Zn2+] We are given the standard reduction potential E0 as -0.76 V and the concentration of Zn2+ ions as 1.0 M. We can now solve for the electrode potential E :E = -0.76 + 8.314 * 298.15 / 0.5 * 96485 * ln 1.0 E = -0.76 VSince the overpotential is given as 0.05 V, we can find the actual potential E' at the electrode:E' = E + E' = -0.76 + 0.05E' = -0.71 VNow, we can use the Butler-Volmer equation to find the current density i :i = i0 * exp * F * E' - E0 / R * T - 1 Rearranging the equation to solve for i0:i0 = i / exp * F * E' - E0 / R * T - 1 We are given all the values except for the current density i . Unfortunately, without the current density value, we cannot calculate the exchange current density i0 . If you can provide the current density value, we can proceed with the calculation.