Question:
The osmotic pressure of solution containing $34.2 \,g$ of cane sugar (molar mass = $342 \, g \, mol^{-1}$) in 1L of solution at $20^{\circ} C$ is
(Given, $R = 0.082 \, L \, atm \, K^{-1} \, mol^{-1}$)
The osmotic pressure of solution containing $34.2 \,g$ of cane sugar (molar mass = $342 \, g \, mol^{-1}$) in 1L of solution at $20^{\circ} C$ is
(Given, $R = 0.082 \, L \, atm \, K^{-1} \, mol^{-1}$)
Updated On: Jan 23, 2024
- $2.40\, atm$
- $3.6\, atm$
- $24\, atm$
- $0.0024\, atm$
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The Correct Option is A
Solution and Explanation
The expression for the osmotic pressure of the solution is shown below.
$\pi= CRT =\frac{ W }{ M \times V } RT$
Here, $\pi$ is the osmotic pressure,
$C$ is the molar concentration,
$W$ is mass of solute,
$M$ is the molar mass of solute,
$V$ is the volume of the solution in liter,
$R$ is the ideal gas constant and
$T$ is the absolute temperature.
$\pi=\frac{34.2 \,g }{342\, g / mol } \times 0.082\, L \,atm / mol \,K \times 293 \,K$
$\pi=2.40 \,atm$
The osmotic pressure of the solution is $2.40$ atm.
$\pi= CRT =\frac{ W }{ M \times V } RT$
Here, $\pi$ is the osmotic pressure,
$C$ is the molar concentration,
$W$ is mass of solute,
$M$ is the molar mass of solute,
$V$ is the volume of the solution in liter,
$R$ is the ideal gas constant and
$T$ is the absolute temperature.
$\pi=\frac{34.2 \,g }{342\, g / mol } \times 0.082\, L \,atm / mol \,K \times 293 \,K$
$\pi=2.40 \,atm$
The osmotic pressure of the solution is $2.40$ atm.
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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.