   # The blue line on the diagram illustrates the effect of using fractional distillation to separate a mixture of hexane (C 6 H 14 ) and heptane (C 7 H 16 ). If one starts a fractional distillation with a 0.20 mole fraction of hexane, what is the approximate mole fraction of hexane in the vapor phase after two evaporation condensation cycles? Figure B A temperature–composition diagram for hexane (C 6 H 14 )-heptane (C 7 H 16 ) mixtures. ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 13.5, Problem 1Q
Textbook Problem
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## The blue line on the diagram illustrates the effect of using fractional distillation to separate a mixture of hexane (C6H14) and heptane (C7H16). If one starts a fractional distillation with a 0.20 mole fraction of hexane, what is the approximate mole fraction of hexane in the vapor phase after two evaporation condensation cycles? Figure B A temperature–composition diagram for hexane (C6H14)-heptane (C7H16) mixtures.

Interpretation Introduction

Interpretation: Approximate mole fraction of hexane in the vapor phase after two evaporation –condensation cycles has to be determined from the given diagram.

Concept introduction:

• Mole fraction is one of the concentrations expressing term which is equal to the number of moles of a component divided by the total number of a solution. The mole fraction of all components of a solution, when added together will equal to 1

The mole fraction of component a can be determined by using the equation,

Molefractionofa(Xa)=MoleofaTotalmoles

• Fractional distillation it is a separation process in which the volatile components of a mixture are split from one another by heating the mixture in a column and collecting and condensing the vapors drawn from different levels of the column.
• Boiling point is the temperature at which the vapor pressure of the substance comes equal to the atmospheric pressure.
• In evaporation matter changes from a liquid to a gas and in condensation matter changes from a gas to a liquid.

### Explanation of Solution

Temperature – composition diagram for hexane (C6H14) – heptane (C7H16 ) mixtures.

Here the lower curved line indicates the boiling point of the mixture as a function of mole fraction of the more volatile component, hexane. The upper curve indicates the mole fraction of hexane in the vapor phase above the boiling solution

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