Question:

The freezing point of the 0.05 molal solution of non - electrolyte in water is? (kf = 1.86)

Updated On: Jun 24, 2024
Hide Solution
collegedunia
Verified By Collegedunia

Solution and Explanation

To calculate the freezing point of a solution, we can use the formula: 
ΔTf = Kf x m 
Given: Kf = 1.86 (in units of molal per degree Celsius) 
m = 0.05 molal 
Substituting the given values into the formula, we get: 
ΔTf = 1.86 x 0.05 
ΔTf = 0.093oC
The freezing point depression (ΔTf) is 0.093o
Freezing point of the solution = Freezing point of water - ΔT
Freezing point of the solution = 0oC - 0.093oC = -0.093oC
Freezing point of the 0.05 molal solution of the non-electrolyte in water is approximately -0.093oC.
freezing point (ΔTf​) can be calculated using the formula ΔTf​=kf​×m, where kf​ is the cryoscopic constant and m is the molality. For the given values kf =1.86 and m=0.05, the calculation yields ΔTf​=0.093.
Thus, the final freezing point (Tf​) is found by subtracting 0.0930.093 from the initial temperature,
Was this answer helpful?
7
4

Concepts Used:

Concentration of Solutions

It is the amount of solute present in one liter of solution.

Concentration in Parts Per Million - The parts of a component per million parts (106) of the solution.

Mass Percentage - When the concentration is expressed as the percent of one component in the solution by mass it is called mass percentage (w/w).

Volume Percentage - Sometimes we express the concentration as a percent of one component in the solution by volume, it is then called as volume percentage

Mass by Volume Percentage - It is defined as the mass of a solute dissolved per 100mL of the solution.

Molarity - One of the most commonly used methods for expressing the concentrations is molarity. It is the number of moles of solute dissolved in one litre of a solution.

Molality - Molality represents the concentration regarding moles of solute and the mass of solvent.

Normality - It is the number of gram equivalents of solute present in one liter of the solution and it is denoted by N.

Formality - It is the number of gram formula present in one litre of solution.