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 .