Diffusion Coefficient and Thermal Conductivity Relationship with Viscosity

Question:

a) Derive the general relationship between the diffusion coefficient and viscosity for a gas. Given that the viscosity of Ar is 22.2 × 10-6  Pa.s at 293 K and 1 atm, what is the diffusion coefficient?

b) Derive the general relationship between the thermal conductivity and viscosity. Given that the viscosity of Ar is 22.2 × 10-6  Pa.s at 293 K and 1 atm, what is the thermal conductivity?

Solution:
a) Coefficient of viscosity is given by,

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