At 300 K, 36 g of glucose present per litre in its solution has an osmotic pressure of 4.98 bar. If the osmotic pressure of a urea solution is 1.52 bar its at the same temperature, concentration is
- 1.6 M
- 0.61 M
- 0.061 M
- None of these
The Correct Option is C
Approach Solution - 1
\(\pi_1 V = n_1 RT\)
\(\pi_2 V = n_2RT\)
\(\frac{\pi_1}{\pi_2} = \frac{n_1}{n_2}\)
\(n_1=\frac {36}{180}=\frac 15\) mol
\(\pi_1\) = 4.98 bar
\(\pi_2\) = 1.52 bar
\(\frac{4.98}{1.52} = \frac{\frac 15}{n_2}\)
\(n_2 = \frac{1.52}{4.98 \times 5}\) = 0.061 M
Osmotic pressure is a colligative property
\(\therefore\) 0.061 M Glucose = 0.061 M urea
Approach Solution -2
Given:
\(T=300\ K\)
\(\pi = 1.52\) bar
\(R = 0.083\) bar LK−1mol−1
We know that:
\(\pi = CRT\)
\(C=\frac {1.52}{0.083 \times 300}\)
\(C= 0.061\) mol
Since the volume of the solution is \(1 L\), the concentration of the solution would be \(0.061\ M\).
So, the correct option is (C): \(0.061\ M\).
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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.