   # Freon- 12 (CCI 2 F 2 ) is used as a refrigerant in air conditioners and as a propellant in aerosol cans. Calculate the number of molecules of Freon-12 in 5.56 mg of Freon-12. What is the mass of chlorine in 5.56 mg of Freon-12? ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 5, Problem 63E
Textbook Problem
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## Freon- 12 (CCI2F2) is used as a refrigerant in air conditioners and as a propellant in aerosol cans. Calculate the number of molecules of Freon-12 in 5.56 mg of Freon-12. What is the mass of chlorine in 5.56 mg of Freon-12?

Interpretation Introduction

Interpretation: The mass of Freon-12 is given. By using this mass, the number of molecules of Freon-12 is to be calculated. Also, the mass of chlorine present in the given mass of Freon-12 is to be calculated.

Concept introduction: The atomic mass is defined as the sum of number of protons and number of neutrons.

Molar mass of a substance is defined as the mass of the substance in gram of one mole of that compound.

The molar mass of any compound can be calculated by adding of atomic weight of individual atoms present in it.

The amount of substance containing 12g of pure carbon is called a mole. One mole of atoms always contains 6.022×1023 molecules. The number of molecules in one mole is also called Avogadro’s number.

To determine: The number of molecules in 5.56mg of Freon-12 ; the mass of chlorine (Cl) in 5.56mg of Freon-12 .

### Explanation of Solution

To determine: The number of molecules in 5.56mg of Freon-12 ;

Given

The mass of Freon-12 (CCl2F2) is 5.56mg .

The molar mass of CCl2F2 is 120.91g/mol .

The conversion of milligram (mg) into gram (g) is done as,

1mg=103g

Hence, the conversion of 5.56mg into gram is,

5.56mg=(5.56×103)g=5.56×103g

Formula

The number of moles in CCl2F2 is calculated as,

MolesofCCl2F2=MassofCCl2F2MolarmassofCCl2F2

Substitute the values of mass and molar mass of CCl2F2 in above equation.

MolesofCCl2F2=MassofCCl2F2MolarmassofCCl2F2=5.56×103g120.91g/mol=4.6×105mol

The number of molecules in CCl2F2 is calculated using the formula,

MoleculesinCCl2F2=MolesofCCl2F2×6.022×1023

Substitute the value of number of moles in CCl2F2 in above equation.

MoleculesinCCl2F2=MolesofCCl2F2×6.022×1023=4.6×105×6.022×1023=2

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