Chapter 4, Problem 4.10P

(a)

Interpretation Introduction

Interpretation:

The beaker that has volume triple times of the volume in beaker A is to be identified.

Concept introduction:

Dilution is the process of converting a concentrated solution into a dilute solution by adding the solvent. In the resultant solution, amount of solute remain fixed but the volume of the solution increases. The moles of solute before and after dilution remain fixed.

The expression to calculate the number of spheres in diluted solution when number of spheres and volume of concentrated solution and volume of diluted solution are given is as follows:

$N_{\text{dil}}=\frac{N_{\text{conc}}{V}_{\text{conc}}}{V_{\text{dil}}}$

Here,

$N_{\text{dil}}$ is the number of sphere present in diluted solution.

$V_{\text{dil}}$ is the volume of diluted solution.

$N_{\text{conc}}$ the number of sphere present in the concentrated solution.

$V_{\text{conc}}$ is the volume of concentrated solution.

(b)

Interpretation Introduction

Interpretation:

The beaker that has volume double of the volume in beaker A is to be identified.

Concept introduction:

Dilution is the process of converting a concentrated solution into a dilute solution by adding the solvent. In the resultant solution, amount of solute remain fixed but the volume of the solution increases. The moles of solute before and after dilution remain fixed.

The expression to calculate the number of spheres in diluted solution when number of spheres and volume of concentrated solution and volume of diluted solution are given is as follows:

$N_{\text{dil}}=\frac{N_{\text{conc}}{V}_{\text{conc}}}{V_{\text{dil}}}$

Here,

$N_{\text{dil}}$ is the number of sphere present in diluted solution.

$V_{\text{dil}}$ is the volume of diluted solution.

$N_{\text{conc}}$ the number of sphere present in the concentrated solution.

$V_{\text{conc}}$ is the volume of concentrated solution.

(c)

Interpretation Introduction

Interpretation:

The beaker that has volume quadruple of the volume in beaker A is to be identified.

Concept introduction:

Dilution is the process of converting a concentrated solution into a dilute solution by adding the solvent. In the resultant solution, amount of solute remain fixed but the volume of the solution increases. The moles of solute before and after dilution remain fixed.

The expression to calculate the number of spheres in diluted solution when number of spheres and volume of concentrated solution and volume of diluted solution are given is as follows:

$N_{\text{dil}}=\frac{N_{\text{conc}}{V}_{\text{conc}}}{V_{\text{dil}}}$

Here,

$N_{\text{dil}}$ is the number of sphere present in diluted solution.

$V_{\text{dil}}$ is the volume of diluted solution.

$N_{\text{conc}}$ the number of sphere present in the concentrated solution.

$V_{\text{conc}}$ is the volume of concentrated solution.