A pipeline carrying benzene has developed a large leak. Fortunately, the leak occurred in a diked area and the liquid benzene is contained within the square \(50 \mathrm{ft} \times 30 \mathrm{ft}\) dike. The temperature is \(80^{\circ} \mathrm{F}\) and the ambient pressure is \(1 \mathrm{~atm}\). It is a cloudy night with a \(5 \mathrm{mph}\) wind. All areas downwind with a concentration exceeding 4 times the PEL must be evacuated.

a. Determine the evaporation rate from the dike (in \(\mathrm{lb} / \mathrm{s})\).

b. Determine the distance downwind (in mi) that must be evacuated.

c. Determine the maximum width of the plume (in \(\mathrm{ft}\) ) and the distance downwind (in mi) where it occurs.