Question

Calculate the anodic Tafel slope for an electrochemical cell in which the corrosion current density is 0.05 mA/cm² and the anodic overpotential is 50 mV. The exchange current density for the anodic reaction is 0.02 mA/cm².

Answer 1

To calculate the anodic Tafel slope  ba , we can use the Tafel equation:a = ba * log10  Ia/I0 where a is the anodic overpotential, Ia is the corrosion current density, and I0 is the exchange current density.Given values:a = 50 mV = 0.05 V  converting to volts Ia = 0.05 mA/cm = 5 x 10^-5  A/cm  converting to A/cm I0 = 0.02 mA/cm = 2 x 10^-5  A/cm  converting to A/cm Now, we can plug these values into the Tafel equation:0.05 = ba * log10  5 x 10^-5  / 2 x 10^-5  0.05 = ba * log10  2.5 Now, we can solve for ba:ba = 0.05 / log10  2.5 ba  0.05 / 0.3979ba  0.1256 V/decadeThe anodic Tafel slope for the electrochemical cell is approximately 0.1256 V/decade.