Question:easy

Which formula is used to calculate osmotic pressure?

Show Hint

Use the van't Hoff relation \( \pi V = nRT \) and replace \( n/V \) by molar concentration \( C \).
Updated On: Jul 10, 2026
  • \( \pi = CRT \)
  • \( \pi = VRT \)
  • \( \pi = PVT \)
  • \( \pi = nRT \)
Show Solution

The Correct Option is A

Solution and Explanation

Step 1: Start from the ideal behaviour of a dilute solution, which mirrors the ideal gas law \(PV = nRT\). For osmosis, the solute particles behave like a gas exerting pressure, so \(\pi V = nRT\).
Step 2: Divide both sides by \(V\): \(\pi = \dfrac{n}{V}RT\).
Step 3: The ratio \(\dfrac{n}{V}\) (moles per unit volume) is the molarity \(C\) of the solution. Substituting gives \(\pi = CRT\).
Step 4: Thus the working formula involving concentration is \[ \boxed{\pi = CRT} \] confirming choice (i). The other choices do not reduce to the van't Hoff relation.
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