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What is the anodic Tafel slope for the oxidation of Fe in a 0.1 M FeCl2 solution at a current density of 0.5 mA/cm2? Use the given data: T = 298 K, A = 0.2 cm2, and the exchange current density is 0.1 mA/cm2.

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To calculate the anodic Tafel slope for the oxidation of Fe in a 0.1 M FeCl2 solution, we will use the Tafel equation: = b * log10 i / i0 where  is the overpotential, b is the Tafel slope, i is the current density, and i0 is the exchange current density.We are given the following values:- Current density  i  = 0.5 mA/cm- Exchange current density  i0  = 0.1 mA/cm- Temperature  T  = 298 K- Area  A  = 0.2 cmFirst, we need to calculate the overpotential   . We can use the Butler-Volmer equation to do this: =  RT/nF  * log10 i / i0 where R is the gas constant  8.314 J/molK , T is the temperature  298 K , n is the number of electrons transferred  2 for Fe oxidation , and F is the Faraday constant  96485 C/mol . =  8.314 * 298  /  2 * 96485  * log10 0.5 / 0.1  = 0.214 VNow, we can use the Tafel equation to calculate the anodic Tafel slope  b :0.214 = b * log10 0.5 / 0.1 b = 0.214 / log10 5 b = 0.214 / 0.699b  0.306 V/decadeThe anodic Tafel slope for the oxidation of Fe in a 0.1 M FeCl2 solution at a current density of 0.5 mA/cm is approximately 0.306 V/decade.

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