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An azeotrope has equal coexisting liquid and vapor compositions: $y=x$. Ordinary fractional distillation cannot cross this composition boundary at fixed pressure; more packing does not remove it. A constant head temperature therefore does not establish a pure chemical substance.^[ref] The stipulated $\alpha =2$ model has $y>x$ throughout $0<x<1$, so it has no interior azeotrope and cannot represent this limit.

Co-distillation is the vaporization and collection of multiple components together during distillation. A component can enter the collected vapor alongside another volatile substance instead of being isolated as a pure vapor. Steam distillation is the case in which water supplies a volatile carrier; co-distillation is not restricted to water.

The result depends on vapor-liquid equilibrium. In an ideal, fully mixed binary liquid at a specified temperature, Raoult's law gives $p_A=x_A{p}_A^{\ast }$ and $p_B=x_B{p}_B^{\ast }$. The vapor fraction is $y_A=p_A/(p_A+p_B)$. The McMaster distillation manual uses liquid/vapor composition diagrams to explain why the vapor can be enriched in one component while still containing both.^[ref]

For original hypothetical data, let $x_A=0.25$, $p_A^{\ast }=80\mathrm{kPa}$ and $p_B^{\ast }=20\mathrm{kPa}$. Then $p_A=20$ and $p_B=15\mathrm{kPa}$, giving $y_A=20/35\approx 0.571$. Both components co-distil, but the vapor is richer in $A$ than the starting liquid. These are equilibrium pressures at the stated temperature; boiling additionally requires their sum to match the external pressure.

With two persistent immiscible liquid phases, a different limiting model uses the pure-component vapor pressures directly, rather than multiplying each by its fraction of a homogeneous mixture. An azeotrope is another special equilibrium situation. Specify the phase behavior before assigning a distillate composition, and use a distillation material balance to distinguish enrichment from total recovery. Collecting a component together with a carrier does not itself establish complete separation from every impurity.

Distillation separates a mixture by producing vapor from a liquid and collecting the condensed liquid, called the distillate. The more volatile component can have a higher mole fraction in the vapor. Simple distillation collects this condensate directly; fractional distillation adds repeated contact in a fractionating column.^[ref]

Two questions must be kept separate. Vapor-liquid equilibrium describes which compositions can coexist. A distillation material balance accounts for how much of each component leaves in each product. A product can be enriched without containing all the original component, and even a feasible distillation material balance does not establish that an apparatus can make those products.

In simple distillation, pot vapor passes directly to the laboratory condenser. An initial small condensate sample can approximate vapor-liquid equilibrium with the current pot liquid. Removing enriched distillate depletes the pot's more volatile component. A collected fraction averages the changing condensate composition, rather than preserving the first-drop mole fraction.^[ref]