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 2.43E

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

a. beryllium

b. lead

c. sodium

Expert Solution
Check Mark
Interpretation Introduction

(a)

Interpretation:

The three relationships (equalities) based on the mole concept for the 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 2.43E

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

9.012gBe=1molBe … (1)

1molBe=6.02×1023Beatoms … (2)

6.02×1023Beatoms=9.012gBe … (3)

Explanation of Solution

The molar mass of beryllium is 9.012g/mol. This is the mass of one mole of beryllium. The relationship between the molar mass and moles is shown below.

9.012gBe=1molBe … (1)

The conversion factor corresponding to the given relationship is,

9.012gBe1mol and 1mol9.012gBe

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

1molBe=6.02×1023Beatoms … (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 beryllium is 9.012g. The relationship between molar mass and number of atoms is shown below.

6.02×1023Beatoms=9.012gBe … (3)

The conversion factor corresponding to the given relationship is,

6.02×1023atoms9.012gBe and 9.012gBe6.02×1023atoms

Conclusion

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

9.012gBe=1molBe …(1)

1molBe=6.02×1023Beatoms…(2)

6.02×1023Beatoms=9.012gBe …(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 2.43E

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

207.2gPb=1molPb … (1)

1molPb=6.02×1023Pbatoms … (2)

6.02×1023Pbatoms=207.2gPb … (3)

Explanation of Solution

The molar mass of lead is 207.2g/mol. This is the mass of one mole of lead. The relationship between the molar mass and moles is as follows:

207.2gPb=1molPb…(1)

The conversion factor corresponding to the given relationship is,

207.2gPb1mol and 1mol207.2gPb

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

1molPb=6.02×1023Pbatoms…(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 lead is 207.2g. The relationship between molar mass and number of atoms is shown below.

6.02×1023Pbatoms=207.2gPb…(3)

The conversion factor corresponding to the given relationship is,

6.02×1023atoms207.2gPb and 207.2gPb6.02×1023atoms

Conclusion

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

207.2gPb=1molPb…(1)

1molPb=6.02×1023Pbatoms…(2)

6.02×1023Pbatoms=207.2gPb…(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 2.43E

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

23.00gNa=1molNa…(1)

1molNa=6.02×1023Naatoms…(2)

6.02×1023Naatoms=23.00gNa…(3)

Explanation of Solution

The molar mass of sodium is 23.00g/mol. This is the mass of one mole of sodium. The relationship between the molar mass and moles is shown below.

23.00gNa=1molNa…(1)

The conversion factor corresponding to the given relationship is,

23.00gNa1mol and 1mol23.00gNa

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

1molNa=6.02×1023Naatoms…(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 sodium is 23.00g. The relationship between molar mass and number of atoms is shown below.

6.02×1023Naatoms=23.00gNa…(3)

The conversion factor corresponding to the given relationship is,

6.02×1023atoms23.00gNa and 23.00gNa6.02×1023atoms

Conclusion

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

23.00gNa=1molNa…(1)

1molNa=6.02×1023Naatoms…(2)

6.02×1023Naatoms=23.00gNa…(3)

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Chapter 2 Solutions

Chemistry for Today: General, Organic, and Biochemistry

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