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NEET CHEMISTRYSolutionsMedium

Question

Which of the following pair of aqueous solutions will have the same value of osmotic pressure? (Assume complete dissociation in aqueous solution)

A

0.1 M BaCl2BaCl_2 and 0.2 M K2SO4K_2SO_4

B

0.1 M Na3PO4Na_3PO_4 and 0.1 M K2SO4K_2SO_4

C

0.2 M NaCl and 0.1 M K2SO4K_2SO_4

D

0.2 M NaCl and 0.1 M K3[Fe(CN)6]K_3[Fe(CN)_6]

Step-by-Step Solution

Osmotic pressure is a colligative property given by the formula π=iCRT\pi = iCRT, where ii is the van't Hoff factor, CC is the molar concentration, RR is the gas constant, and TT is the temperature . For two solutions to have the same osmotic pressure at a given temperature, their effective concentrations (i×Ci \times C) must be equal. Assuming complete dissociation:

  1. 0.1 M BaCl2BaCl_2 and 0.2 M K2SO4K_2SO_4: For BaCl2BaCl_2, i=3i = 3 (Ba2+,2ClBa^{2+}, 2Cl^-), so i×C=3×0.1=0.3i \times C = 3 \times 0.1 = 0.3 M. For K2SO4K_2SO_4, i=3i = 3 (2K+,SO422K^+, SO_4^{2-}), so i×C=3×0.2=0.6i \times C = 3 \times 0.2 = 0.6 M. (Not equal)
  2. 0.1 M Na3PO4Na_3PO_4 and 0.1 M K2SO4K_2SO_4: For Na3PO4Na_3PO_4, i=4i = 4 (3Na+,PO433Na^+, PO_4^{3-}), so i×C=4×0.1=0.4i \times C = 4 \times 0.1 = 0.4 M. For K2SO4K_2SO_4, i×C=3×0.1=0.3i \times C = 3 \times 0.1 = 0.3 M. (Not equal)
  3. 0.2 M NaCl and 0.1 M K2SO4K_2SO_4: For NaCl, i=2i = 2 (Na+,ClNa^+, Cl^-), so i×C=2×0.2=0.4i \times C = 2 \times 0.2 = 0.4 M. For K2SO4K_2SO_4, i×C=3×0.1=0.3i \times C = 3 \times 0.1 = 0.3 M. (Not equal)
  4. 0.2 M NaCl and 0.1 M K3[Fe(CN)6]K_3[Fe(CN)_6]: For NaCl, i=2i = 2, so i×C=2×0.2=0.4i \times C = 2 \times 0.2 = 0.4 M. For K3[Fe(CN)6]K_3[Fe(CN)_6], i=4i = 4 (3K+,[Fe(CN)6]33K^+, [Fe(CN)_6]^{3-}), so i×C=4×0.1=0.4i \times C = 4 \times 0.1 = 0.4 M. (Equal)

Therefore, 0.2 M NaCl and 0.1 M K3[Fe(CN)6]K_3[Fe(CN)_6] will have the same value of osmotic pressure.

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.

CHEMISTRYSolutionsfollowingaqueoussolutionsosmoticpressure

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