Question:

1.80 g of solute A was dissolved in 62.5 cm3 of ethanol and freezing point of the solution was found to be 155.1 K. The molar mass of solute A is ____ g mol–1.
[Given : Freezing point of ethanol is 156.0 K, Density of ethanol is 0.80 g cm–3, Freezing point depression constant of ethanol is 2.00 K kg mol–1]

Updated On: Sep 13, 2024
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Correct Answer: 80

Solution and Explanation

\(ΔT_f=k_fm\)

\(0.9=\frac {2×1.8×1000}{62.5×0.8×M}\)

Then, the molar mass of solute A,

\(M=\frac {2×1800}{62.5×0.8×0.9}\)

\(M=80\) g/mol

So, the answer is \(80\).

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Concepts Used:

Solutions

A solution is a homogeneous mixture of two or more components in which the particle size is smaller than 1 nm.

For example, salt and sugar is a good illustration of a solution. A solution can be categorized into several components.

Types of Solutions:

The solutions can be classified into three types:

  • Solid Solutions - In these solutions, the solvent is in a Solid-state.
  • Liquid Solutions- In these solutions, the solvent is in a Liquid state.
  • Gaseous Solutions - In these solutions, the solvent is in a Gaseous state.

On the basis of the amount of solute dissolved in a solvent, solutions are divided into the following types:

  1. Unsaturated Solution- A solution in which more solute can be dissolved without raising the temperature of the solution is known as an unsaturated solution.
  2. Saturated Solution- A solution in which no solute can be dissolved after reaching a certain amount of temperature is known as an unsaturated saturated solution.
  3. Supersaturated Solution- A solution that contains more solute than the maximum amount at a certain temperature is known as a supersaturated solution.