When 1 mol of HCl is added to 1 kg of water, the boiling point increases by 1.0^∘ C(1.0 K), b

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When 1 mol of HCl is added to 1 kg of water, the boiling...

When $1 \mathrm{~mol}$ of $\mathrm{HCl}$ is added to $1 \mathrm{~kg}$ of water, the boiling point increases by $1.0^{\circ} \mathrm{C}(1.0 \mathrm{~K}),$ but when $1 \mathrm{~mol}$ of acetic acid, $\mathrm{CH}_{3} \mathrm{CO}_{2} \mathrm{H},$ is added to $1 \mathrm{~kg}$ of water, the boiling point increases by only $0.5^{\circ} \mathrm{C}(0.5 \mathrm{~K})$. Explain.

Key Concepts

Acid Dissociation

Acid dissociation refers to the process by which an acid splits into its constituent ions in solution. Strong acids, such as HCl, disassociate completely, increasing the number of particles in solution and thereby enhancing colligative effects. In contrast, weak acids like acetic acid only partially dissociate, resulting in fewer particles and a smaller effect on boiling point elevation.

Boiling Point Elevation

Boiling point elevation is a colligative property where the boiling point of a solvent increases when a solute is dissolved in it. This increase is proportional to the molal concentration of solute particles in the solution, reflecting how the presence of nonvolatile solute particles affects the vapor pressure of the solvent.

Colligative Properties

Colligative properties are characteristics of solutions that depend solely on the number of solute particles present, rather than the nature of the solute. These properties, such as boiling point elevation, freezing point depression, and osmotic pressure, demonstrate how the physical behavior of a solution is influenced by the total concentration of dissolved particles.

van't Hoff Factor

The van't Hoff factor quantifies the effect of solute dissociation on the number of particles in a solution. It represents the ratio of the actual number of particles in solution to the number of formula units dissolved. A solute that dissociates completely produces a higher van't Hoff factor compared to one that only partially dissociates, which in turn influences colligative properties like boiling point elevation.

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