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MHT CET 202623 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
23 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

MHT CET 2026 · 23 April · Evening Shift · Chemistry · Solutions

If a solution is prepared by dissolving solute in 0.3 L of water...

If a solution is prepared by dissolving solute in 0.3 L of water having osmotic pressure 164.1 atm at 300 K, what will be the number of moles of solute in solution? (R = 0.08205 L atm K^{-1}mol−1mol^{-1})

Options

  1. A0.50.5
  2. B11
  3. C1.51.5
  4. D2.02.0

Correct answer

D. 2.02.0

Step-by-step solution

Using the formula for osmotic pressure:

π=nVRT\pi = \dfrac{n}{V} R T

Rearranging for the number of moles nn:

n=πVRTn = \dfrac{\pi V}{R T}

Substituting the given values:

n=164.1×0.30.08205×300n = \dfrac{164.1 \times 0.3}{0.08205 \times 300}

n=49.2324.615n = \dfrac{49.23}{24.615}

n=2.0n = 2.0

Answer: 2.02.0
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