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In the following questions, a statement ...

In the following questions, a statement of assertion (A) is followed by a statement of reason (R )
A : Lattice energy of CaO is higher than LiCl.
R : Lattice energy of ionic compound is directly prportional to the product of charges of ion.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1)

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2)

C

If Assertion is true statement but Reason is false, then mark (3)

D

If both Assertion and Reason are false statements , then mark (4).

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the assertion and reason statements about lattice energy, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Lattice Energy**: - Lattice energy (U) is the energy released when gaseous ions combine to form an ionic solid. It can be calculated using the formula: \[ U = -\frac{k \cdot q_1 \cdot q_2}{r_0} \] - Here, \(q_1\) and \(q_2\) are the charges of the ions, \(r_0\) is the distance between the ions, and \(k\) is a proportionality constant. 2. **Analyzing the Assertion (A)**: - The assertion states that the lattice energy of CaO is higher than that of LiCl. - To verify this, we need to calculate the product of the charges of the ions in both compounds. 3. **Calculating Lattice Energy for CaO**: - For CaO, the ions are \(Ca^{2+}\) and \(O^{2-}\). - The charges are \(+2\) and \(-2\), respectively. - The product of the charges is: \[ q_1 \cdot q_2 = 2 \cdot (-2) = -4 \quad \text{(considering magnitude, we take 4)} \] 4. **Calculating Lattice Energy for LiCl**: - For LiCl, the ions are \(Li^{+}\) and \(Cl^{-}\). - The charges are \(+1\) and \(-1\), respectively. - The product of the charges is: \[ q_1 \cdot q_2 = 1 \cdot (-1) = -1 \quad \text{(considering magnitude, we take 1)} \] 5. **Comparing Lattice Energies**: - Since the product of the charges for CaO (4) is greater than that for LiCl (1), we can conclude that: \[ U_{CaO} > U_{LiCl} \] - Thus, the assertion (A) is correct. 6. **Analyzing the Reason (R)**: - The reason states that lattice energy is directly proportional to the product of the charges of the ions. - From our calculations, we see that higher charge products lead to higher lattice energies, confirming that the reason is also correct. 7. **Conclusion**: - Both the assertion (A) and the reason (R) are correct, and the reason correctly explains the assertion. ### Final Answer: Both the assertion and reason are true, and the reason correctly explains the assertion.
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