   Chapter 13, Problem 42PS

Chapter
Section
Textbook Problem

Butylated hydroxyanisole (BHA) is used in margarine and other fats and oils. (It is used as an antioxidant and prolongs the shelf life of the food.) What is the molar mass of BHA if 0.640 g of the compound, dissolved in 25.0 g of chloroform, produces a solution whose boiling point is 62.22 °C?

Interpretation Introduction

Interpretation: The molar mass of butylated hydroyanisole 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

Change in boiling point is calculated by using the equation,

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 butylated hydroyanisole is calculated.

Given,

ΔT=(62.220C61.700C)=0.520C

Mass of butylated hydroyanisole 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=(0.520C)(3.630C/m)=0.1433m

The amount of butylated hydroyanisole is,

(0

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