Question

The osmotic pressure of a solution is represented by which of the following equations?

• A. \( \pi = \frac{CR}{T} \)
• B. \( \pi = \frac{C}{R} \)
• C. \( \pi = \frac{CT}{R} \)
• D. \( \pi = \frac{RT}{C} \)

Hint:

Osmotic pressure is proportional to the concentration and temperature of the solution and inversely proportional to the volume (or molar volume in certain cases).

Answer 1

The Correct Option is A

Step 1: Understanding osmotic pressure.
Osmotic pressure (\( \pi \)) is a colligative property and is related to the concentration of the solute. It is given by the equation: \[ \pi = \frac{CR}{T} \] where \( C \) is the concentration, \( R \) is the gas constant, and \( T \) is the temperature in Kelvin. Step 2: Analysis of options.
(A) \( \pi = \frac{CR}{T} \): Correct — This is the correct equation for osmotic pressure.
(B) \( \pi = \frac{C}{R} \): This is incorrect because it does not include temperature, which is required for the correct calculation.
(C) \( \pi = \frac{CT}{R} \): This is incorrect because the units of osmotic pressure are not balanced in this form.
(D) \( \pi = \frac{RT}{C} \): This is incorrect because it reverses the correct equation.
Step 3: Conclusion.
The correct answer is (A) because it is the proper equation for osmotic pressure.