Problem $3$: A clay nanocomposite is formed from $0\mathrm{.}5nm$ thick clay disc$-$shaped sheets that are $50nm$ in

diameter. Assuming the clay is impermeable to gas and the composite is $10\%$ clay by volume, what is the

maximum and minimum gas permeability of the nanocomposite relative to that of the pure polymer? Note

that variability can be introduced through the orientation of the clay relative to the direction of gas transfer.