Fenske's method for minimum theoretical plates

Input(s)

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

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

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

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

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

Output(s)

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

Formula(s)

Sm=log((XlkdXhkd)(XlkbXhkb))/log(αa)\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 .

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