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What is the anodic Tafel slope for the oxidation of iron in a solution with a pH of 3? Given that the corrosion current density is 2.5 x 10^-6 A/cm2 and the overpotential is 0.2 V.

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To calculate the anodic Tafel slope  a  for the oxidation of iron in a solution with a pH of 3, we can use the Tafel equation: = a * log i / i where: = overpotential  0.2 V i = corrosion current density  2.5 x 10^-6 A/cm i = exchange current density  unknown a = anodic Tafel slope  unknown First, we need to find the exchange current density  i . The exchange current density can be estimated using the Butler-Volmer equation:i = i *  exp a * F *  / R / T  - exp -c * F *  / R / T  where:a = anodic charge transfer coefficient  assumed to be 0.5 c = cathodic charge transfer coefficient  assumed to be 0.5 F = Faraday's constant  96485 C/mol R = gas constant  8.314 J/mol K T = temperature  assumed to be 298 K, room temperature Since we are only interested in the anodic reaction, we can simplify the equation to:i = i * exp a * F *  / R / T Now, we can solve for i:i = i / exp a * F *  / R / T Plugging in the values:i =  2.5 x 10^-6 A/cm  / exp 0.5 * 96485 C/mol * 0.2 V / 8.314 J/mol K * 298 K i  1.16 x 10^-6 A/cmNow that we have the exchange current density, we can use the Tafel equation to find the anodic Tafel slope  a :0.2 V = a * log 2.5 x 10^-6 A/cm / 1.16 x 10^-6 A/cm a = 0.2 V / log 2.5 x 10^-6 A/cm / 1.16 x 10^-6 A/cm a  0.2 V / 0.434a  0.460 V/decadeThe anodic Tafel slope for the oxidation of iron in a solution with a pH of 3 is approximately 0.460 V/decade.

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