In this problem you will estimate how much gas is lost from a 2 gallon high density polyethylene (HDPE) can in a year. Assume the walls of the container are 2 mm thick and for simplicity the container is cubic in form. Assume gasoline has a density of 0.7 g/cm3. The Polymer Handbook (Wiley, 3rd Ed., 1989) lists the diffusion coefficient for hexane (assume that is gasoline) as approximately 1x10-8 cm2/s at ambient temperature. When a 1 gram piece of the HDPE (density = 1 g/cm3) is immersed in gasoline for a long time it increases its weight to 1.001 grams. This provides an estimate of the equilibrium concentration of gasoline in contact with the plastic. What percent of the gasoline in the initially full 2 gallon container is lost in a year?