To calculate the anodic Tafel slope, we can use the Tafel equation: = b * log i / i where is the overpotential, b is the Tafel slope, i is the current density, and i is the exchange current density.We are given two sets of data points: , i and , i . The overpotential can be calculated as the difference between the applied potential and the equilibrium potential E - E . Since we are given the anodic potential with respect to the standard hydrogen electrode SHE , we can assume that the equilibrium potential E is 0 V. Therefore, the overpotentials are = 0.1 V and = 0.2 V.The current densities i and i are given as 0.5 mA cm and 2.0 mA cm, respectively. We need to convert them to A cm:i = 0.5 mA cm * 1 A / 1000 mA = 5 * 10 A cmi = 2.0 mA cm * 1 A / 1000 mA = 2 * 10 A cmNow we can use the Tafel equation to set up a system of two equations with two unknowns b and i : = b * log i / i => 0.1 = b * log 5 * 10 / i = b * log i / i => 0.2 = b * log 2 * 10 / i We are given the exchange current density i = 2 * 10 A cm. We can now solve for b:0.1 = b * log 5 * 10 / 2 * 10 0.1 = b * log 2.5 To find b, we can isolate it by dividing both sides by log 2.5 :b = 0.1 / log 2.5 Now we can calculate the value of b:b 0.1 / 0.3979b 0.251 V/decadeThe anodic Tafel slope for the given reaction is approximately 0.251 V/decade.