Chapter 13, Problem 36PS

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

Chapter
Section

### Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

# A typical bottle of wine consists of an 11% solution (by weight) of ethanol (C2H5OH) in water. If the wine is chilled to −20 °C, will the solution begin to freeze?

Interpretation Introduction

Interpretation: It has to be identified whether the given solution begin to freeze at 20°C

Concept introduction:

Freezing point elevation: The freezing point of the solution varies with the solute concentration.

Depression in Freezing point = ΔTfp= Kfp. msolute,where,Kfpismolal boiling point elevation constant,msoluteis molality of solute

Explanation

Given data:

Massâ€‰ofâ€‰ethanolâ€‰inÂ 11%â€‰isâ€‰â€‰=â€‰â€‰11g100gâ€‰ofâ€‰solutionâ€‰Ã—100â€‰gâ€‰=â€‰11gTâ€‰=â€‰âˆ’20Â°C

Numberâ€‰ofâ€‰moleâ€‰â€‰=â€‰â€‰â€‹Massâ€‰â€‰ofâ€‰â€‰â€‰theâ€‰â€‰substanceâ€‰â€‰inâ€‰â€‰gramMolarâ€‰â€‰massâ€‰

MoleÂ ofÂ ethanolÂ (solute)Â =Â 11g46.07â€‰g/molâ€‰=â€‰0.239mol;

MassÂ ofÂ WaterÂ =Â 100Â gÂ -Â 11Â gâ€‰=Â â€‰89â€‰gÂ â€‰=â€‰0.089â€‰kgÂ

FreezingÂ pointÂ ofÂ waterÂ =Â 0oCKfpofâ€‰WaterÂ =â€‰-1.86oC/m

CalculateÂ theÂ molalityÂ ofÂ soluteÂ Â inÂ solution(m):_molalityÂ =Â MolesÂ ofÂ soluteÂ (mol)AmountÂ ofÂ solvent(inÂ kg)Â =Â (0

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