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To observe an elevation of boiling point of $0.05^?C$, the amount of solute (Mol. $Wt. = 100$) to be added to $100\, g$ of water $(K_b=0.5)$ is
To observe an elevation of boiling point of $0.05^?C$, the amount of solute (Mol. $Wt. = 100$) to be added to $100\, g$ of water $(K_b=0.5)$ is
Updated On: Apr 27, 2024
- 2 g
- 0.5 g
- 1 g
- 0.75 g
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The Correct Option is C
Solution and Explanation
Elevation of boiling point,
$\Delta T_{b}=\frac{w \times K_{b} \times 1000}{M \times W}$
(Here, $w$ and $W=$ weights of solute and solvent respectively,
$M=$ molecular weight of solute and
$K_{b}=$ constant $)$
On substituting values, we get
$0.05=\frac{w \times 0.5 \times 1000}{100 \times 100}$
or $w=\frac{0.05 \times 100 \times 100}{0.5 \times 1000}=1\, g$
$\Delta T_{b}=\frac{w \times K_{b} \times 1000}{M \times W}$
(Here, $w$ and $W=$ weights of solute and solvent respectively,
$M=$ molecular weight of solute and
$K_{b}=$ constant $)$
On substituting values, we get
$0.05=\frac{w \times 0.5 \times 1000}{100 \times 100}$
or $w=\frac{0.05 \times 100 \times 100}{0.5 \times 1000}=1\, g$
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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.
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