Chapter 5, Problem 5.15QP

(a)

Interpretation Introduction

Interpretation:

Lattice energy of ionic compound is affected by varying the charges of ions (cation ${\text{A}}^{\text{+}}$ and anion ${\text{B}}^{\text{-}}$) and distance between them. This has to be explained based on coulomb's law.

Concept Introduction:

Definition of Lattice Energy

Lattice energy is defined as the energy released during formation of solid ionic compounds; which is done by the condensation of gaseous cation and gaseous anion coming from infinite distance.  In other words it is the energy required to break one mole of ionic compound to its constituent ions.  This energy is termed as Lattice energy why because it dealts with the ionic solids where the ions are located in crystal lattice.

Lattice energy depends on the magnitude of charge of the ions and also on the distance between them.  Greater the Lattice energy, greater will be the stability of the compound.

The Lattice energy can be can be calculated based on Coulomb's law which states that, the potential energy ($\text{E}$) between two ions is directly proportional to the product of their charges (${\text{Q}}_{\text{cation}}$ and ${\text{Q}}_{\text{anion}}$) and inversely proportional to the distance ($r$) of separation between them.  It is given by the following equation.

$\text{E}\propto \frac{{\text{Q}}_{\text{cation}}{\text{×Q}}_{\text{anion}}}{\text{r}}$

Here, the cation is $A^{+}$ and anion is $B^{-}$.  Therefore, the above equation can be rewritten as

$\text{E}\propto \frac{{\text{A}}^{\text{+}}{\text{×B}}^{\text{-}}}{\text{r}}$

(b)

Interpretation Introduction

Interpretation:

Lattice energy of ionic compound is affected by varying the charges of ions (cation ${\text{A}}^{\text{+}}$ and anion ${\text{B}}^{\text{-}}$) and distance between them. This has to be explained based on coulomb's law.

Concept Introduction:

Definition of Lattice Energy

Lattice energy is defined as the energy released during formation of solid ionic compounds; which is done by the condensation of gaseous cation and gaseous anion coming from infinite distance.  In other words it is the energy required to break one mole of ionic compound to its constituent ions.  This energy is termed as Lattice energy why because it dealts with the ionic solids where the ions are located in crystal lattice.

Lattice energy depends on the magnitude of charge of the ions and also on the distance between them.  Greater the Lattice energy, greater will be the stability of the compound.

The Lattice energy can be can be calculated based on Coulomb's law which states that, the potential energy ($\text{E}$) between two ions is directly proportional to the product of their charges (${\text{Q}}_{\text{cation}}$ and ${\text{Q}}_{\text{anion}}$) and inversely proportional to the distance ($r$) of separation between them.  It is given by the following equation.

$\text{E}\propto \frac{{\text{Q}}_{\text{cation}}{\text{×Q}}_{\text{anion}}}{\text{r}}$

Here, the cation is $A^{+}$ and anion is $B^{-}$.  Therefore, the above equation can be rewritten as

$\text{E}\propto \frac{{\text{A}}^{\text{+}}{\text{×B}}^{\text{-}}}{\text{r}}$

(c)

Interpretation Introduction

Interpretation:

Lattice energy of ionic compound is affected by varying the charges of ions (cation ${\text{A}}^{\text{+}}$ and anion ${\text{B}}^{\text{-}}$) and distance between them. This has to be explained based on coulomb's law.

Concept Introduction:

Definition of Lattice Energy

Lattice energy is defined as the energy released during formation of solid ionic compounds; which is done by the condensation of gaseous cation and gaseous anion coming from infinite distance.  In other words it is the energy required to break one mole of ionic compound to its constituent ions.  This energy is termed as Lattice energy why because it dealts with the ionic solids where the ions are located in crystal lattice.

Lattice energy depends on the magnitude of charge of the ions and also on the distance between them.  Greater the Lattice energy, greater will be the stability of the compound.

The Lattice energy can be can be calculated based on Coulomb's law which states that, the potential energy ($\text{E}$) between two ions is directly proportional to the product of their charges (${\text{Q}}_{\text{cation}}$ and ${\text{Q}}_{\text{anion}}$) and inversely proportional to the distance ($r$) of separation between them.  It is given by the following equation.

$\text{E}\propto \frac{{\text{Q}}_{\text{cation}}{\text{×Q}}_{\text{anion}}}{\text{r}}$

Here, the cation is $A^{+}$ and anion is $B^{-}$.  Therefore, the above equation can be rewritten as

$\text{E}\propto \frac{{\text{A}}^{\text{+}}{\text{×B}}^{\text{-}}}{\text{r}}$

(d)

Interpretation Introduction

Interpretation:

Lattice energy of ionic compound is affected by varying the charges of ions (cation ${\text{A}}^{\text{+}}$ and anion ${\text{B}}^{\text{-}}$) and distance between them. This has to be explained based on coulomb's law.

Concept Introduction:

Definition of Lattice Energy

Lattice energy is defined as the energy released during formation of solid ionic compounds; which is done by the condensation of gaseous cation and gaseous anion coming from infinite distance.  In other words it is the energy required to break one mole of ionic compound to its constituent ions.  This energy is termed as Lattice energy why because it dealts with the ionic solids where the ions are located in crystal lattice.

Lattice energy depends on the magnitude of charge of the ions and also on the distance between them.  Greater the Lattice energy, greater will be the stability of the compound.

The Lattice energy can be can be calculated based on Coulomb's law which states that, the potential energy ($\text{E}$) between two ions is directly proportional to the product of their charges (${\text{Q}}_{\text{cation}}$ and ${\text{Q}}_{\text{anion}}$) and inversely proportional to the distance ($r$) of separation between them.  It is given by the following equation.

$\text{E}\propto \frac{{\text{Q}}_{\text{cation}}{\text{×Q}}_{\text{anion}}}{\text{r}}$

Here, the cation is $A^{+}$ and anion is $B^{-}$.  Therefore, the above equation can be rewritten as

$\text{E}\propto \frac{{\text{A}}^{\text{+}}{\text{×B}}^{\text{-}}}{\text{r}}$