Chapter 10, Problem 91A

Determine the number of representative particles in each substance.

a. 4.45 molOf ${\text{C}}_{\text{6}}{\text{H}}_{\text{12}}{\text{O}}_{\text{6}}$ c. 2.24 mol Of ${\text{H}}_2$

b. 0.250 mol of ${\text{KNO}}_{\text{3}}$ d. 9.56 mol of Zn

Interpretation Introduction

(a)

Interpretation:

The number of representative particles needs to be determined in $4.45$ mole of ${\text{C}}_{\text{6}}{\text{H}}_{\text{12}}{\text{O}}_{\text{6}}$.

Concept introduction:

Representative particles can be atoms, molecules, formula units or ions, depending on the nature of the substance. The standard unit used to represent the amount of a substance is the mole, where a mole contains $6.022\times {10}^{23}$ particles.

Answer to Problem 91A

The number of representative particles in the given amount of ${\text{C}}_{\text{6}}{\text{H}}_{\text{12}}{\text{O}}_{\text{6}}$ is $2.68\times {10}^{24}$

Explanation of Solution

The given number of moles of ${\text{C}}_{\text{6}}{\text{H}}_{\text{12}}{\text{O}}_{\text{6}}$ is 4.45 mol.

Since, in 1 mol a substance there are $6.022\times {10}^{23}$ representative particles thus, number of particles in given moles of ${\text{C}}_{\text{6}}{\text{H}}_{\text{12}}{\text{O}}_{\text{6}}$ will be:

$4.45\times 6.022\times {10}^{23}=2.68\times {10}^{24}$

Thus, the number of representative particles in glucose is $2.68\times {10}^{24}$.

Interpretation Introduction

Interpretation:

Number of representative particles is to be determined in $0.250$ mole of $KN{O}_3$.

Concept introduction:

Representative particles can be atoms, molecules, formula units or ions, depending on the nature of the substance. The standard unit used to represent the amount of a substance is the mole, where a mole contains $6.02*{10}^{23}$ particles.

Answer to Problem 91A

The number of representative particles present is $1.51\times {10}^{23}$ formula units of $KN{O}_3$

Explanation of Solution

The given number of mole of $KN{O}_3$ is $0.250$ mole.

Since, in 1 mol of substance there are $6.022\times {10}^{23}$ representative particles. Thus, number of representative particles in 0.250 mol will be:

$0.250\text{ mol }\times 6.022\times {10}^{23}=1.51\times {10}^{23}$

Interpretation Introduction

(c)

Interpretation:

Number of representative particles is to be determined in $2.24$ mole of Hydrogen.

Concept introduction:

Representative particles can be atoms, molecules, formula units or ions, depending on the nature of the substance. The standard unit used to represent the amount of a substance is the mole, where a mole contains $6.022\times {10}^{23}$ particles.

Answer to Problem 91A

The number of representative particles in the given amount of hydrogen is $1.35\times {10}^{24}$.

Explanation of Solution

The given number of moles of H atom is 2.24 mol. Since, 1 mol of H will have $6.022\times {10}^{23}$ atoms of Hydrogen.

Thus, the number of atoms of H in 2.24 mol of hydrogen will be:

= $2.24\times 6.022\times {10}^{23}=1.35\times {10}^{24}$

Thus, the number of H atom is $1.35\times {10}^{24}$.

Interpretation Introduction

(d)

Interpretation:

Number of representative particles needs to be determined in $9.56$ mole of $Zn$.

Concept introduction:

Representative particles can be atoms, molecules, formula units or ions, depending on the nature of the substance. The standard unit used to represent the amount of a substance is the mole, where a mole contains $6.022\times {10}^{23}$ particles.

Answer to Problem 91A

The number of representative particles in the given amount of zinc is $5.78\times {10}^{24}$ atoms of $Zn$.

Explanation of Solution

The given number of moles of Zn atom is 9.56 mol. Since, 1 mol of Zn will have $6.022\times {10}^{23}$ atoms of Zinc, thus, the number of atoms of Zn in 9.56 mol of Zn atom will be:

= $9.56\times 6.022\times {10}^{23}=57.8\times {10}^{24}$

Thus, the number of Zn atom is $5.78\times {10}^{24}$.