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Question:
What will be the boiling point of $ 30 \,g $ benzene containing $ 0.75\, g $ of benzoic acid which undergoes $ 75\% $ dimerization? Boiling point of pure benzene $ = 80.1^{\circ}C $ and $ K_b = 2.53 \,K mol^{-1}\, kg $
What will be the boiling point of $ 30 \,g $ benzene containing $ 0.75\, g $ of benzoic acid which undergoes $ 75\% $ dimerization? Boiling point of pure benzene $ = 80.1^{\circ}C $ and $ K_b = 2.53 \,K mol^{-1}\, kg $
Updated On: Jun 8, 2024
- $ 90.52^{\circ}C $
- $ 104.35^{\circ}C $
- $ 76.12 ^{\circ}C $
- $ 80.42 ^{\circ}C $
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The Correct Option is D
Solution and Explanation
No. of moles of benzene $=\frac{30}{78}$
No. of moles of benzoic acid $=\frac{0.75}{122}=6.15\times10^{-3}$
$\Delta\,T_{b}=i K_{b}\,m$
$i=1-\alpha+\frac{\alpha}{n}$
$=1-0.75+\frac{0.75}{2}$
$=0.625$
$\Delta T_{b}=0.625\times2.53\times\frac{6.15\times10^{-3}}{30}\times1000$
$\Delta T_{b}=0.324$
$\Delta T_{b}=T_{b}-T_{b}^{\circ}$
$0.324=T_{b}-80.1\,^{\circ}C$
$T_{b}=80.42\,^{\circ}C$
No. of moles of benzoic acid $=\frac{0.75}{122}=6.15\times10^{-3}$
$\Delta\,T_{b}=i K_{b}\,m$
$i=1-\alpha+\frac{\alpha}{n}$
$=1-0.75+\frac{0.75}{2}$
$=0.625$
$\Delta T_{b}=0.625\times2.53\times\frac{6.15\times10^{-3}}{30}\times1000$
$\Delta T_{b}=0.324$
$\Delta T_{b}=T_{b}-T_{b}^{\circ}$
$0.324=T_{b}-80.1\,^{\circ}C$
$T_{b}=80.42\,^{\circ}C$
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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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