The Tafel equation is used to describe the relationship between the overpotential and the current density j in an electrochemical reaction. The anodic Tafel slope ba can be calculated using the following equation:ba = RT / a * F where R is the gas constant 8.314 J/mol K , T is the temperature in Kelvin, a is the anodic charge transfer coefficient, and F is the Faraday constant 96485 C/mol .In this problem, we are given that the current density increases by a factor of 10 as the overpotential increases from 0.1 V to 0.3 V. We can use the Tafel equation to relate the overpotential and current density: = ba * log j / j0 where is the overpotential, j is the current density, and j0 is the exchange current density.We can set up two equations for the two given overpotentials:0.1 V = ba * log j1 / j0 0.3 V = ba * log j2 / j0 Since the current density increases by a factor of 10, we can write j2 = 10 * j1. Now we can solve for ba:0.3 V = ba * log 10 * j1 / j0 0.1 V = ba * log j1 / j0 Divide the first equation by the second equation:3 = log 10 * j1 / j0 / log j1 / j0 Now, we can use the property of logarithms log a / log b = log a^1 / b^1 = log a / b :3 = log 10 * j1 / j1 Solve for j1:10 * j1 = j1^3j1^2 = 10Now, we can substitute j1 back into the Tafel equation:0.1 V = ba * log j1 / j0 0.1 V = ba * log j1^2 / j0 * j1 0.1 V = ba * log 10 / j0 Since j0 is given as 1.0 x 10^-5 A/cm^2:0.1 V = ba * log 10 / 1.0 x 10^-5 0.1 V = ba * log 10^6 Now, we can solve for ba:ba = 0.1 V / log 10^6 ba 0.1 V / 13.8ba 0.00725 V/decadeThe anodic Tafel slope for this electrochemical reaction is approximately 0.00725 V/decade.