Question:
The osmotic pressure of a particular solution is \(8\) atm at \(298\) K. What will be the osmotic pressure under similar conditions at \(313\) K?
The osmotic pressure of a particular solution is \(8\) atm at \(298\) K. What will be the osmotic pressure under similar conditions at \(313\) K?
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At constant concentration, osmotic pressure is directly proportional to absolute temperature.
Updated On: Nov 12, 2026
- \(7.60\) atm
- \(11.65\) atm
- \(8.40\) atm
- \(4.84\) atm
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The Correct Option is C
Solution and Explanation
Step 1: Understanding the Concept
Van 't Hoff equation: \(\pi = CRT\).
For the same solution \(\pi \propto T\).
Step 2: Set Up
\(\dfrac{\pi_2}{\pi_1} = \dfrac{T_2}{T_1}\)
Step 3: Calculation
\(\pi_2 = 8 \times \dfrac{313}{298} = 8.40\ \text{atm}\)
Final Answer:
The osmotic pressure at 313 K is 8.40 atm. \[ \boxed{\text{(C) }8.40\ \text{atm}} \]
Van 't Hoff equation: \(\pi = CRT\).
For the same solution \(\pi \propto T\).
Step 2: Set Up
\(\dfrac{\pi_2}{\pi_1} = \dfrac{T_2}{T_1}\)
Step 3: Calculation
\(\pi_2 = 8 \times \dfrac{313}{298} = 8.40\ \text{atm}\)
Final Answer:
The osmotic pressure at 313 K is 8.40 atm. \[ \boxed{\text{(C) }8.40\ \text{atm}} \]
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