Build a deterministic model that can calculate the time until the first repair of a newly constructed reinforced concrete bridge deck (See Figure). The time until the first repair can be modeled as the time of initiation of chloride-induced corrosion. The diffusion coefficient of the concrete used to construct the bridge deck was measured in the testing lab to be 9.0 x 10 m/s. (a) What is the time to the first repair for the bridge deck? Assume that the concentration of chloride ions [CI] on the road surface is 0.5M and the critical concentration of chloride ions [Cl]erit to trigger initiation of the steel corrosion reaction is 0.04M? (b) What happens to the time of corrosion initiation when the concentration of chloride ions [CI] on the road surface is doubled? What happens if it is halved? Is keeping the bridge deck chloride concentration low (i.e., through washing the deck) a good strategy to extend the lifetime of the bridge before repairs and thus safe money on future repair and maintenance costs? 230 No.19@100 mm No.19@100 mm No.19@150 mm No.19@150 mm Figure: Cross Section of a 230mm Thick Reinforced-Concrete Bridge Deck (Note: All Dimensions in Millimeters)