Fenske's method for minimum theoretical plates

Input(s)

$\mathrm{X}_{\mathrm{lkd}}$: Distillate Mole Fraction of Light Component (fraction)

$\mathrm{X}_{\mathrm{hkd}}$: Distillate Mole Fraction of Heavy Component (fraction)

$\mathrm{X}_{\mathrm{lkb}}$: Bottom Mole Fraction of Light Component (fraction)

$\mathrm{X}_{\mathrm{hkb}}$: Bottom Mole Fraction of Heavy Component (fraction)

$\alpha_{a}$: Relative Volatility (fraction)

Output(s)

$\mathrm{S}_{\mathrm{m}}$: Number of Minimum Theoretical Stages (dimensionless)

Formula(s)

$$ \mathrm{S}_{\mathrm{m}}=\log \left(\left(\frac{\mathrm{X}_{\mathrm{lkd}}}{\mathrm{X}_{\mathrm{hkd}}}\right) *\left(\frac{\mathrm{X}_{\mathrm{lkb}}}{\mathrm{X}_{\mathrm{hkb}}}\right)\right) / \log \left(\alpha_{\mathrm{a}}\right) $$

Reference(s)

John M. Campbell, Gas Conditioning and Processing, Campbell Petroleum Series, Oklahoma, 1992, Vol. 2, Page: 288 .