Find the following properties for oxygen at \(298 \mathrm{~K}\) and \(1 \mathrm{~atm}\) based on the kinetic theory of gases.

(a) The average speed of the molecules.

(b) The r.m.s. value of the speed.

(c) The mean free path assuming a molecular diameter of 3 Å.
(d) The viscosity of oxygen based on the simple model.

(e) The viscosity of oxygen at \(298 \mathrm{~K}\) using the Lennard-Jones modification to the simple kinetic-theory model for transport properties. Compare your answer with the experimental value and the value from part (d) above.

(f) The thermal conductivity of oxygen.