The osmotic pressure of a dilte solution of a non-volatile solute is

Options

A. Directly proportional to its temperature on the centigrade scale
B. Inversely proportional to its temperature on the Kelvin scale
C. Directly proportional to its temperature on the Kelvin scale
D. Inversely proportional to its temperature on the centigrade scale

Answer

To solve the question regarding the osmotic pressure of a dilute solution of a non-volatile solute, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Osmotic Pressure**:
Osmotic pressure (π) is the pressure required to stop the flow of solvent into a solution through a semipermeable membrane. It is a colligative property, which means it depends on the number of solute particles in the solution rather than their identity.

2. **Formula for Osmotic Pressure**:
The formula for osmotic pressure is given by:
\[ \pi = C \cdot R \cdot T \]
where:
- \(\pi\) = osmotic pressure
- \(C\) = concentration of the solute (in mol/L)
- \(R\) = universal gas constant (0.0821 L·atm/(K·mol))
- \(T\) = absolute temperature (in Kelvin)

3. **Analyzing the Components**:
- **Concentration (C)**: This is the molarity of the solute in the solution.
- **Temperature (T)**: It must be in Kelvin for the equation to hold true. To convert Celsius to Kelvin, add 273.15 to the Celsius temperature.
- **Gas Constant (R)**: This is a constant value used in the equation.

4. **Direct Proportionality**:
From the formula, we can see that osmotic pressure is directly proportional to both the concentration of the solute and the temperature. This means that if either the concentration or the temperature increases, the osmotic pressure will also increase.

5. **Conclusion**:
Therefore, for a dilute solution of a non-volatile solute, the osmotic pressure can be calculated using the formula provided, and it is directly proportional to the temperature (in Kelvin) and the concentration of the solute.

### Final Answer:
The osmotic pressure of a dilute solution of a non-volatile solute is given by the formula:
\[ \pi = C \cdot R \cdot T \]
and it is directly proportional to the temperature (in Kelvin).

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