A fractionating column operating at $1$atm has a certain number of plates. The last plate, at bottom of the column is at $60C$ where the vapor phase composition is $40\%$ light key $($LK$)$ and the liquid phase composition is $13\%$ LK $($by mole$).$ The molecular weights of the LK and heavy key $($HK$)$ are $50$ and $60,$ respectively. The liquid densities of LK and HK are $0\mathrm{.}6$ and $0\mathrm{.}8\frac{g}{c}{m}^3,$ respectively, at the temperature of the bottom plate. The gas phase of mixtures of these compone behaves ideally. The surface tension of the LK and HK are $23$ and $29m\frac{N}{m},$ respectively at the temperature of the bottom plate.

Determine the vapor phase and liquid phase molecular weights for the binary mixture.

Phese

$LK=50,-40\%$

lignkey $50(\mathrm{.}4)+60+60$

Determine the vapor phase and liquid phase molar densities for the binary mixture.

$($:$\mathrm{.}6\frac{g}{c}{m}^3\}$

Determine the tension for the liquid phase of this binary mixture.

Osborne$-$Lee