Evaluate the collision frequency z1 of a single o2 molecule

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Reference no: EM13518064

1. Ideal gas

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 ? ˜ Ncml/2V. 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, meters, and seconds?

Reference no: EM13518064

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