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Statement-I: If decimolal solution of so...

Statement-I: If decimolal solution of sodium chloride boils at `101.2^(@)C`, then decimolal solution of calcium chloride will also boil at the same temperature.
Because
Statement-II: For same molal concentration of aqueous solutions of electrolytes, the elevation of boiling point may not be same.

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To analyze the given statements, we need to evaluate the validity of both Statement-I and Statement-II based on the principles of colligative properties, specifically the elevation of boiling point. ### Step-by-Step Solution: 1. **Understanding the Statements**: - **Statement-I**: If a decimolal solution of sodium chloride (NaCl) boils at 101.2°C, then a decimolal solution of calcium chloride (CaCl2) will also boil at the same temperature. - **Statement-II**: For the same molal concentration of aqueous solutions of electrolytes, the elevation of boiling point may not be the same. 2. **Analyzing Statement-I**: - Sodium chloride (NaCl) dissociates in solution into two ions: Na⁺ and Cl⁻. Therefore, its van't Hoff factor (i) is 2. - Calcium chloride (CaCl2) dissociates into three ions: Ca²⁺ and 2Cl⁻. Thus, its van't Hoff factor (i) is 3. - The elevation in boiling point (ΔTb) is given by the formula: \[ \Delta T_b = i \cdot K_b \cdot m \] where: - \(i\) = van't Hoff factor - \(K_b\) = ebullioscopic constant of the solvent - \(m\) = molality of the solution 3. **Comparing the Elevation of Boiling Points**: - For NaCl (i = 2): \[ \Delta T_b = 2 \cdot K_b \cdot 0.1 \quad \text{(for decimolal solution)} \] - For CaCl2 (i = 3): \[ \Delta T_b = 3 \cdot K_b \cdot 0.1 \] - Since the van't Hoff factors are different (2 for NaCl and 3 for CaCl2), the elevation of boiling points will also differ. Therefore, Statement-I is **false**. 4. **Analyzing Statement-II**: - The statement claims that for the same molal concentration of aqueous solutions of electrolytes, the elevation of boiling point may not be the same. - This is true because different electrolytes have different van't Hoff factors, which directly affect the boiling point elevation. Thus, Statement-II is **true**. 5. **Conclusion**: - Statement-I is false, and Statement-II is true. Therefore, the overall conclusion is that the two statements are not consistent with each other. ### Final Answer: - Statement-I: False - Statement-II: True
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