Here are the essential concepts you must grasp in order to answer the question correctly.
Colligative Properties
Colligative properties are physical properties of solutions that depend on the number of solute particles in a given amount of solvent, rather than the identity of the solute. These properties include boiling point elevation and freezing point depression, which are crucial for calculating the changes in freezing and boiling points when a solute is added to a solvent.
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Dissociation of Ionic Compounds
Ionic compounds, such as CuCl₂, dissociate into their constituent ions when dissolved in water. For CuCl₂, it dissociates into one copper ion (Cu²⁺) and two chloride ions (Cl⁻). This dissociation increases the total number of solute particles in the solution, which directly affects the colligative properties and must be accounted for in calculations.
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Freezing Point Depression and Boiling Point Elevation Formulas
The freezing point depression and boiling point elevation can be calculated using the formulas ΔTf = i * Kf * m and ΔTb = i * Kb * m, respectively, where ΔTf and ΔTb are the changes in freezing and boiling points, i is the van 't Hoff factor (number of particles the solute dissociates into), Kf and Kb are the solvent's freezing and boiling point constants, and m is the molality of the solution.
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Freezing Point Depression