Chemistry for Today: General, Organic, and Biochemistry
Chemistry for Today: General, Organic, and Biochemistry
9th Edition
ISBN: 9781305960060
Author: Spencer L. Seager, Michael R. Slabaugh, Maren S. Hansen
Publisher: Cengage Learning
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Chapter 2, Problem 2.44E

Write three relationships (equalities) based on the mole concept for each of the following elements:

a. phosphorus

b. aluminum

c. krypton

Expert Solution
Check Mark
Interpretation Introduction

(a)

Interpretation:

The three relationships (equalities) based on the mole concept for given elements are to be stated.

Concept introduction:

Molar mass is the sum of the atomic masses of all the atoms present in the chemical formula of any compound. One mole of substance contains 6.02×1023 atoms or molecules. This number is known as the Avogadro number.

Answer to Problem 2.44E

The three relationships (equalities) based on the mole concept for given element are,

30.97gP=1molP…(1)

1molP=6.02×1023Patoms…(2)

6.02×1023Patoms=30.97gP…(3)

Explanation of Solution

The molar mass of phosphorus is 30.97g/mol. This is the mass of one mole of phosphorus. The relationship between the molar mass and moles is as follows:

30.97gP=1molP…(1)

The conversion factor corresponding to the given relationship is,

30.97gP1mol and 1mol30.97gP

One mole of phosphorus contains 6.02×1023 atoms. The relationship between the number of atoms and moles is shown below.

1molP=6.02×1023Patoms…(2)

The conversion factor corresponding to the given relationship is,

6.02×1023atoms1mol and 1mol6.02×1023atoms

From the equalities (1) and (2), the mass of 6.02×1023 atoms of phosphorus is 30.97g. The relationship between molar mass and number of atoms is shown below.

6.02×1023Patoms=30.97gP…(3)

The conversion factor corresponding to the given relationship is,

6.02×1023atoms30.97gP and 30.97gP6.02×1023atoms

Conclusion

The three relationships (equalities) based on the mole concept for given element are,

30.97gP=1molP…(1)

1molP=6.02×1023Patoms…(2)

6.02×1023Patoms=30.97gP…(3)

Expert Solution
Check Mark
Interpretation Introduction

(b)

Interpretation:

The three relationships (equalities) based on the mole concept for given element are to be stated.

Concept introduction:

Molar mass is the sum of the atomic masses of all the atoms present in the chemical formula of any compound. One mole of substance contains 6.02×1023 atoms or molecules. This number is known as the Avogadro number.

Answer to Problem 2.44E

The three relationships (equalities) based on the mole concept for given element are,

26.98gAl=1molAl…(1)

1molAl=6.02×1023Alatoms…(2)

6.02×1023Alatoms=26.98gAl…(3)

Explanation of Solution

The molar mass of aluminum is 26.98g/mol. This is the mass of one mole of aluminum. The relationship between the molar mass and moles is as follows:

26.98gAl=1molAl…(1)

The conversion factor corresponding to the given relationship is,

26.98gAl1mol and 1mol26.98gAl

One mole of aluminum contains 6.02×1023 atoms. The relationship between the number of atoms and moles is as follows:

1molAl=6.02×1023Alatoms…(2)

The conversion factor corresponding to the given relationship is,

6.02×1023atoms1mol and 1mol6.02×1023atoms

From the equalities (1) and (2), the mass of 6.02×1023 atoms of aluminum is 26.98g. The relationship between molar mass and number of atoms is shown below.

6.02×1023Alatoms=26.98gAl…(3)

The conversion factor corresponding to the given relationship is,

6.02×1023atoms26.98gAl and 26.98gAl6.02×1023atoms

Conclusion

The three relationships (equalities) based on the mole concept for given element are,

26.98gAl=1molAl…(1)

1molAl=6.02×1023Alatoms…(2)

6.02×1023Alatoms=26.98gAl…(3)

Expert Solution
Check Mark
Interpretation Introduction

(c)

Interpretation:

The three relationships (equalities) based on the mole concept for given element are to be stated.

Concept introduction:

Molar mass is the sum of the atomic masses of all the atoms present in the chemical formula of any compound. One mole of substance contains 6.02×1023 atoms or molecules. This number is known as the Avogadro number.

Answer to Problem 2.44E

The three relationships (equalities) based on the mole concept for given element are,

83.80gKr=1molKr…(1)

1molKr=6.02×1023Kratoms…(2)

6.02×1023Kratoms=83.80gKr…(3)

Explanation of Solution

The molar mass of krypton is 83.80g/mol. This is the mass of one mole of krypton. The relationship between the molar mass and moles is shown below.

83.80gKr=1molKr…(1)

The conversion factor corresponding to the given relationship is,

83.80gKr1mol and 1mol83.80gKr

One mole of krypton contains 6.02×1023 atoms. The relationship between the number of atoms and moles is shown below.

1molKr=6.02×1023Kratoms…(2)

The conversion factor corresponding to the given relationship is,

6.02×1023atoms1mol and 1mol6.02×1023atoms

From the equalities (1) and (2), the mass of 6.02×1023 atoms of krypton is 83.80g. The relationship between the molar mass and number of atoms is as follows:

6.02×1023Kratoms=83.80gKr…(3)

The conversion factor corresponding to the given relationship is,

6.02×1023atoms83.80gKr and 83.80gKr6.02×1023atoms

Conclusion

The three relationships (equalities) based on the mole concept for given element are,

83.80gKr=1molKr…(1)

1molKr=6.02×1023Kratoms…(2)

6.02×1023Kratoms=83.80gKr…(3)

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Chapter 2 Solutions

Chemistry for Today: General, Organic, and Biochemistry

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