Consider N O2 molecules in a container of volume V at a pressure of P=1 atm and a temperature of T=298K. a. Calculate the collision frequency Z1 of a single O2 molecule under these conditions. Assume the diameter of an O2 molecule is d= 2.92x10-10 m. Assume oxygen behaves ideally under these conditions. b. Calculate the mean free path l and the diffusion constant D of a molecule in part a. c. The resistance of a fluid to macroscopic flow is called the shear viscosity. The more viscous a fluid, the greater the force that is required to cause it to move through a narrow tube. For an ideal gas the viscosity  is related to the number of molecules N the average speed c , the mass m of a molecule and the mean free path l by V Ncml 2   . Calculate the viscosity of the gas in part a. Assume 1 mole of O2 molecules is in the container and the total volume is 1 cubic meter. What are the units of viscosity in terms of kilograms,