   Chapter 13.4, Problem 13.5CYU

Chapter
Section
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:

Mass of Ethylene glycol (solute) = ?Mass of Water (solvent) =125 g = 0.125 kg Boilingpointofwater= 1oC,ΔTbp=1.0oC; Kbpfor water=+0.5121oC/m

Boiling point elevation:_Elevation in boiling point = ΔTbp= Kbp. msolute,

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

1.0oC=(+0.5121oC/m)(msolute)msolute=1.0oC+0.5121oC/m=2.0m

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

Moles of solute (mol) = (molality)[Amount of solvent(in kg)]                                    = (2.0m)(0.125 kg)                                    = 0.25 mol.

From the general equation, No

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