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The magnitude of lattice energy of a sol...

The magnitude of lattice energy of a solid increases if

A

The ions are large

B

The ions are small

C

The ions are of equal sizes

D

Charges on the ions are small

Text Solution

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To determine how the magnitude of lattice energy of a solid increases, we need to understand the factors that influence lattice energy. Here’s a step-by-step solution: ### Step 1: Understand Lattice Energy Lattice energy (or lattice enthalpy) is defined as the amount of energy released when one mole of an ionic solid is formed from its gaseous ions or the amount of energy required to separate one mole of an ionic solid into its gaseous ions. ### Step 2: Identify the Factors Affecting Lattice Energy Lattice energy is influenced by two main factors: 1. **Charge of the Ions**: The greater the charge of the ions, the stronger the electrostatic forces of attraction between them, which increases lattice energy. 2. **Size of the Ions**: The smaller the size of the ions, the closer they can get to each other, which also increases the electrostatic attraction and thus increases lattice energy. ### Step 3: Analyze the Relationship From the above factors, we can conclude: - Lattice energy is **directly proportional** to the product of the charges of the ions (higher charge = higher lattice energy). - Lattice energy is **inversely proportional** to the distance between the ions (smaller size = higher lattice energy). ### Step 4: Conclusion Thus, the magnitude of lattice energy of a solid increases if: - The **charges of the ions increase** (higher ionic charges). - The **sizes of the ions decrease** (smaller ionic radii). ### Final Answer The magnitude of lattice energy of a solid increases if the charges on the ions increase or if the sizes of the ions decrease. ---
To determine how the magnitude of lattice energy of a solid increases, we need to understand the factors that influence lattice energy. Here’s a step-by-step solution: ### Step 1: Understand Lattice Energy Lattice energy (or lattice enthalpy) is defined as the amount of energy released when one mole of an ionic solid is formed from its gaseous ions or the amount of energy required to separate one mole of an ionic solid into its gaseous ions. ### Step 2: Identify the Factors Affecting Lattice Energy Lattice energy is influenced by two main factors: 1. **Charge of the Ions**: The greater the charge of the ions, the stronger the electrostatic forces of attraction between them, which increases lattice energy. ...
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