Respuesta :
Answer:
- The solution with Al(ClO₄)₃ (option C) as solute will have the lowest vapor pressure.
- The solution that has sucrose (option D) as solute will have the highest vapor pressure.
Explanation:
1) Raoult's law
Vapor pressure is a colligative property, which means that the vapor pressure of solutions is related to the amount of solute particles dissolved.
As Raoult's law states (you do not need the mathematical equation to solve this question), the decrease of the vapor pressure is proportional to the concentration of solute.
Since the concentrations of all the given solutions are the same, the solution that will have the lowest vapor pressure will depend on how each solute dissociates in the solution, while the solution with the least number of particles will have the highest vapor pressure.
2) Electrolytes
Electrolytes are substacnes that ionizes (dissociate into ions) in solution.
- A) KClO₄ → K⁺ + ClO₄⁻ : each unit solute produces 2 ions
- B) Ca(ClO₄)₂ → Ca²⁺ + 2ClO₄⁻: each unit of solute produces 3 ions
- C) Al(ClO₄)₃ → Al⁺³ + 3ClO₄⁻: each unit of solute produces 4 ions
- D) Sucrose: this is a molecular compound, which does not dissociate
- E) NaCl → Na⁺ + Cl⁻ : each unit of solute produces 2 ions.
3) Conclusion
Since each Al(ClO₄)₃ particle ionizes into more ions than the other solutes, the solution with it as solute will have the lowest vapor pressure; and the solution that has sucrose as solute (non-electrolyte) will have the highest vapor pressure.
The solution of Al(ClO4)3 has the lowest vapor pressure since it contains the greatest number of particles. The solution of sucrose will have the highest vapor pressure because it contains only one particle in solution.
Vapor pressure refers to the ease with which a substance is converted from liquid to gas. The higher the vapor pressure, the more easily the solution is converted from liquid to gas and vice versa.
The magnitude of intermolecular forces and the number of particles in a solution plays a key role in determining its vapor pressure. The solution of Al(ClO4)3 has the lowest vapor pressure since it contains the greatest number of particles. The solution of sucrose will have the highest vapor pressure because it contains only one particle in solution.
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