Argon is admitted to a viscosity cell at and

PHYSICS · Multi-part · Fermi University Physics · Thermal, Statistical & Complex Systems · Kinetic theory and transport in gases · Kinetic theory and transport in gases

Thermal Physics, Ch Collisions, mean free path and transport in gases

Problem

Argon is admitted to a viscosity cell at p=50 kPap = 50\,\mathrm{kPa} and T=300 KT = 300\,\mathrm{K}. Treat it as an ideal gas of hard spheres of diameter d=0.34 nmd = 0.34\,\mathrm{nm} and molar mass 39.9 g mol−139.9\,\mathrm{g\,mol^{-1}}. In every case below the mean free path stays far smaller than the dimensions of the cell. ((a)) Use the mean-free-path estimate of this chapter to find the viscosity of the argon at 50 kPa50\,\mathrm{kPa} and 300 K300\,\mathrm{K}. ((b)) More argon is added until the pressure is 150 kPa150\,\mathrm{kPa}, the temperature being held at 300 K300\,\mathrm{K}. What is the estimated viscosity now? ((c)) The pressure is returned to 50 kPa50\,\mathrm{kPa} and the cell is heated to 600 K600\,\mathrm{K}. What is the estimated viscosity?

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