Question:
How many grams of methyl alcohol should be added to $10$ litre tank of water to prevent its freezing at $268\, K$ ? $\left(K_{f} \, for\, water\, is \,1.86 K\, kg \, mol^{-1} \right)$
How many grams of methyl alcohol should be added to $10$ litre tank of water to prevent its freezing at $268\, K$ ? $\left(K_{f} \, for\, water\, is \,1.86 K\, kg \, mol^{-1} \right)$
Updated On: Aug 19, 2024
- 880.07 g
- 899.04 g
- 886.02 g
- 868.06 g
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The Correct Option is D
Solution and Explanation
$\Delta T_{f} =K_{f} m$
where m = molality
273 - 268= 1.86 x $\frac{w}{M\times V}$
$5=1.86 \times\frac{w}{32\times10}$
$W=\frac{5\times32\times10}{1.86}$
$=860.2 \approx 868.06 g$
where m = molality
273 - 268= 1.86 x $\frac{w}{M\times V}$
$5=1.86 \times\frac{w}{32\times10}$
$W=\frac{5\times32\times10}{1.86}$
$=860.2 \approx 868.06 g$
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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:
- Unsaturated Solution- A solution in which more solute can be dissolved without raising the temperature of the solution is known as an unsaturated solution.
- 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.
- Supersaturated Solution- A solution that contains more solute than the maximum amount at a certain temperature is known as a supersaturated solution.