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The molal elevation constant is the ratio of the elevation in B.P to:
- a)Molality
- b)Mole Fraction of solute
- c)Molarity
- d)Mole fraction of solvent
Correct answer is option 'A'. Can you explain this answer?
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Explanation:
The molal elevation constant is a colligative property of a solution which depends on the concentration of solute particles in the solution. It is defined as the ratio of the elevation in boiling point to the molality of the solution.
Boiling point elevation:
When a non-volatile solute is dissolved in a solvent, the boiling point of the solvent is raised. This is because the vapor pressure of the solution is lower than the vapor pressure of the pure solvent. The boiling point elevation is given by the equation:
ΔTb = Kbm
Where ΔTb is the elevation in boiling point, Kb is the molal elevation constant, and m is the molality of the solution.
Molality:
Molality is a measure of the concentration of a solution in terms of the number of moles of solute per kilogram of solvent. It is given by the equation:
m = n solute / m solvent
Where n solute is the number of moles of solute and m solvent is the mass of the solvent in kilograms.
Ratio of elevation in B.P to molality:
From the equation for boiling point elevation, we can rearrange it to get:
Kb = ΔTb / m
This shows that the molal elevation constant is the ratio of the elevation in boiling point to the molality of the solution. Therefore, the correct answer is option A, i.e., molality.
The molal elevation constant is a colligative property of a solution which depends on the concentration of solute particles in the solution. It is defined as the ratio of the elevation in boiling point to the molality of the solution.
Boiling point elevation:
When a non-volatile solute is dissolved in a solvent, the boiling point of the solvent is raised. This is because the vapor pressure of the solution is lower than the vapor pressure of the pure solvent. The boiling point elevation is given by the equation:
ΔTb = Kbm
Where ΔTb is the elevation in boiling point, Kb is the molal elevation constant, and m is the molality of the solution.
Molality:
Molality is a measure of the concentration of a solution in terms of the number of moles of solute per kilogram of solvent. It is given by the equation:
m = n solute / m solvent
Where n solute is the number of moles of solute and m solvent is the mass of the solvent in kilograms.
Ratio of elevation in B.P to molality:
From the equation for boiling point elevation, we can rearrange it to get:
Kb = ΔTb / m
This shows that the molal elevation constant is the ratio of the elevation in boiling point to the molality of the solution. Therefore, the correct answer is option A, i.e., molality.
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