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NEET CHEMISTRYSolutionsEasy

Question

A solution contains a non-volatile solute of molecular mass M2M_2. Which of the following expressions gives the molecular mass of solute in terms of osmotic pressure, where m2m_2 is the mass of solute, VV is the volume of solution, and π\pi is osmotic pressure?

A

M2=m2πVRTM_2 = \frac{m_2 \pi}{V R T}

B

M2=m2RTπVM_2 = \frac{m_2 R T}{\pi V}

C

M2=m2VπRTM_2 = \frac{m_2 V \pi}{R T}

D

M2=m2VRTπM_2 = \frac{m_2 V}{R T \pi}

Step-by-Step Solution

Osmotic pressure (π\pi or Π\Pi) is related to the molar concentration (CC) of the solution by the equation π=CRT\pi = CRT .

  1. Express Concentration (CC): C=n2VC = \frac{n_2}{V}, where n2n_2 is the number of moles of solute and VV is the volume of the solution in litres.
  2. Express Moles (n2n_2): n2=m2M2n_2 = \frac{m_2}{M_2}, where m2m_2 is the mass of the solute and M2M_2 is its molar mass.
  3. Substitute into the Osmotic Pressure Equation: π=m2M2VRT\pi = \frac{m_2}{M_2 V} R T
  4. Rearrange to solve for M2M_2: M2=m2RTπVM_2 = \frac{m_2 R T}{\pi V}

This relationship allows for the determination of molar masses of solutes .

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Solutions. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYSolutionssolutioncontainsnonvolatilesolutemolecular

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