Diffusion of low-density gases with equal mass

Input(s)

$\mathrm{T}$: Temperature $(\mathrm{K})$

$\boldsymbol{M}_{\boldsymbol{A}}$: Mass of Component A $(\mathrm{g})$

$\boldsymbol{M}_{\boldsymbol{B}}$: Mass of Component B $(\mathrm{g})$

$\boldsymbol{\sigma}_{\boldsymbol{A} \boldsymbol{B}}:$ Collision Diameter $(\mathrm{cm})$

P: Pressure (atm)

$\Omega$: Collision integral (dimensionless)

Output(s)

$\mathbf{D}_{\boldsymbol{A} \boldsymbol{B}}$: Diffusivity $\left(\mathrm{cm}^{2} / \mathrm{s}\right)$

Formula(s)

$$ \mathrm{D}_{\mathrm{AB}}=0.0018583 *\left(\left(\left(\mathrm{~T}^{3}\right) *\left(\left(\frac{1}{\mathrm{M}_{\mathrm{A}}}\right)+\left(\frac{1}{\mathrm{M}_{\mathrm{B}}}\right)\right)\right)^{0.5}\right) *\left(\frac{1}{\mathrm{P} *\left(\sigma_{\mathrm{AB}}^{2}\right) * \Omega}\right) $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 17, Page: 526.