Chapter 13.4, Problem 13.5CYU

### 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

# What quantity of ethylene glycol, HOCH2CH2OH, must be added to 125 g of water to raise the boiling point by 1.0 °C? Express the answer in grams.

Interpretation Introduction

Interpretation: The quantity of ethylene glycol added in the water has to be identified.

Concept introduction:

Boiling point elevation: The boiling point of the solution varies with the solute concentration.

Elevation in boiling point = ΔTbp= Kbp. msolute,where,Kbpismolal boiling point elevation constant,msoluteis molality of solute

Explanation

Given:

MassÂ ofÂ EthyleneÂ glycolÂ (solute)Â =Â ?MassÂ ofÂ WaterÂ (solvent)Â =â€‰125Â gÂ =Â 0.125Â kgÂ Boilingâ€‰pointâ€‰ofâ€‰waterâ€‰=Â 1oC,Î”Tbp=â€‰1.0oC;Â Kbpâ€‰forÂ waterâ€‰=+0.5121â€‰oC/m

BoilingÂ pointÂ elevation:_Elevationâ€‰Â inÂ boilingÂ pointÂ =Â Î”Tbp=Â Kbp.Â msolute,

From the above equation, mass of the solute can be calculated.

1.0oCâ€‰â€‰â€‰â€‰=â€‰(+0.5121â€‰oC/m)(msolute)msolute=1.0â€‰oC+0.5121â€‰oC/m=2.0â€‰m

Number of moles of glycol can be calculated as given below:

MolesÂ ofÂ soluteÂ (mol)Â =Â (molality)[AmountÂ ofÂ solvent(inÂ kg)]Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =Â (2.0â€‰m)(0.125Â kg)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =Â 0.25Â mol.

From the general equation, No

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