a) D = k * T / (6 * TT * n * r Given: D is the diffusion coefficient in cm^2.s (

Question

a) D = k * T / (6 * TT * n * r

Given: D is the diffusion coefficient in cm^2.s (cm^2.s^-1); k = 1.38x10^-23 J.K^-1 is the boltzmanns constant; T is the absolute temperature in K, r is the radius in m; n is the viscoscity of the medium in kg/m/s (kg.m^-1.s^-1)


Demonstrate that this equation is dimensionally homogenous. Showyour working.


I do not even know where to start with this question. Would appreciate if you could show me in detail how you work this question out, right through to the cancelling of units.

Thank you






n = eta (etaetapm_{?})Live Preview

Don't know how to insert the equation

Explanation / Answer

D = k * T / (6 * TT * n * r D is the diffusion coefficient in cm^2.s k = 1.38x10^-23 J.K^-1 T is the absolute temperature in K r is the radius in m n is the viscoscity of the medium in kg/m/s (kg.m^-1.s^-1) so D - diffusion coefficient (usual units are cm2 s-1). putting in eq cm2 s-1=J.K^-1*K*m*kg/m/s so cm2 s-1=J*m*kgm/s cm2 s-1=J*m2*kgs-1

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