   Chapter 13, Problem 67GQ

Chapter
Section
Textbook Problem

Hexachlorophene has been used in germicidal soap. What is its molar mass if 0.640 g of the compound, dissolved in 25.0 g of chloroform, produces a solution whose boiling point is 61.93 °C?

Interpretation Introduction

Interpretation: The molar mass of hexachlorophene has to be determined.

Concept introduction:

Colligative properties: Properties of solutions which having influence on the concentration of the solute in it. Colligative properties are,

• Decrease in the vapor pressure
• Increase in the boiling point
• Decline in the freezing point
• Osmotic pressure

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

ΔTbp=Kbpmsolute

where,

Kbp is the molal boiling point elevation constant.

The number of moles of any substance can be determined using the equation

Numberofmole=GivenmassofthesubstanceMolarmass

Explanation

The molar mass of hexachlorophene is calculated.

Given,

ΔT=(61.820C61.930C)=0.230C

Mass of hexachlorophene is 0.640g

Mass of chloroform is 25g=0.025kg

Molal boiling point elevation constant of chloroform is 3.630C/m

Change in boiling point is calculated by using the equation,

ΔTbp=Kbpmsolute

Hence,

The concentration is calculated by,

Concentration,msolute=ΔTbpKbp=(0.230C)(3.630C/m)=0

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