Question:
$58.4\, gm$ of $NaCl$ and $180\,gm$ of glucose were separately dissolved in $1000 \,mL$ of water. Identify the correct statement regarding the elevation of boiling point ($b.pt$) of the resulting solutions.
$58.4\, gm$ of $NaCl$ and $180\,gm$ of glucose were separately dissolved in $1000 \,mL$ of water. Identify the correct statement regarding the elevation of boiling point ($b.pt$) of the resulting solutions.
Updated On: Jul 28, 2024
- NaCl solution will show higher elevation of b.pt
- Glucose solution will show higher elevation of b.pt
- Both the solution will show equal elevation of b.pt
- The b.p. elevation will be shown by neither of the solutions
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The Correct Option is A
Solution and Explanation
Elevation in boiling point, $\Delta T_{b}=i \times K_{b} \times m$
Molality of $NaCl$ solution $=\frac{n}{W} \times 1000$
$=\frac{\frac{58.5}{58.5}}{W_{ H _{2} O }} \times 1000$
$=\frac{1000}{W_{ H _{2}} O }$
Molality of $C _{6} H _{12} O _{6}$ solution $=\frac{\frac{180}{180} \times 1000}{W_{ H _{2}} O }$
$=\frac{1000}{W_{ H _{2}} O }$
Both the solutions have same molarity but the values for $NaCl$ and glucose are 2 and 1 respectively.
$\therefore \Delta T_{b( NaCl )}$
$=2 \times \Delta T_{b\left( C _{6} H _{12} O _{6}\right)}$
Molality of $NaCl$ solution $=\frac{n}{W} \times 1000$
$=\frac{\frac{58.5}{58.5}}{W_{ H _{2} O }} \times 1000$
$=\frac{1000}{W_{ H _{2}} O }$
Molality of $C _{6} H _{12} O _{6}$ solution $=\frac{\frac{180}{180} \times 1000}{W_{ H _{2}} O }$
$=\frac{1000}{W_{ H _{2}} O }$
Both the solutions have same molarity but the values for $NaCl$ and glucose are 2 and 1 respectively.
$\therefore \Delta T_{b( NaCl )}$
$=2 \times \Delta T_{b\left( C _{6} H _{12} O _{6}\right)}$
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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.