Chapter 19, Problem 115AP

A construction company is installing an iron culvert (a long cylindrical tube) that is 40.0 m long with a radius of 0.900 m. To prevent corrosion, the culvert must be galvanized. This process is carried out by first passing an iron sheet of appropriate dimensions through an electrolytic cell containing ${\text{Zn}}^{\text{2+}}$ ions, using graphite as the anode and the iron sheet as the cathode. If the voltage is 3.26 V, what is the cost of electricity for depositing a layer 0.200 mm thick if the efficiency of the process is 95 percent? The electricity rate is $0.12 per kilowatt hour $\left(\text{kWh}\right)\text{, where 1 W =1 J/s and the density of Zn is 7}{\text{.14 g/cm}}^{\text{3}}\text{.}$