JEE Main · 2024 · Shift-ImediumSOL-120

0.05 M CuSO4 when treated with 0.01 M K2Cr2O7 gives green colour solution of Cu2Cr2O7. The two solutions are separated…

Solutions · Class 12 · JEE Main Previous Year Question

Question

0.05 M CuSO4\mathrm{CuSO_4} when treated with 0.01 M K2Cr2O7\mathrm{K_2Cr_2O_7} gives green colour solution of Cu2Cr2O7\mathrm{Cu_2Cr_2O_7}. The two solutions are separated as shown below: [SPM: Semi Permeable Membrane]image Due to osmosis:

Options
  1. a

    Molarity of CuSO4\mathrm{CuSO_4} solution is lowered.

  2. b

    Molarity of K2Cr2O7\mathrm{K_2Cr_2O_7} solution is lowered.

  3. c

    Green colour formation observed on side Y.

  4. d

    Green colour formation observed on side X.

Correct Answera

Molarity of CuSO4\mathrm{CuSO_4} solution is lowered.

Detailed Solution

Strategy:\n> Osmosis is the movement of solvent from a side of low particle concentration (low osmotic pressure) to high particle concentration (high osmotic pressure). Determine the effective concentrations of both compartments.\n\nStep 1: Calculate effective concentrations (iMi \cdot M)\n- Side X (\ceK2Cr2O7\ce{K2Cr2O7}, M=0.01M=0.01): \ceK2Cr2O7\o2K++Cr2O72\ce{K2Cr2O7 \o 2K^+ + Cr2O7^{2-}} (i=3i=3). Eff = 0.03textM0.03\\text{ M}.\n- Side Y (\ceCuSO4\ce{CuSO4}, M=0.05M=0.05): \ceCuSO4\oCu2++SO42\ce{CuSO4 \o Cu^{2+} + SO4^{2-}} (i=2i=2). Eff = 0.10textM0.10\\text{ M}.\n\nStep 2: Determine solvent movement\nSolvent moves from Side X (0.03 M) to Side Y (0.10 M).\n\nStep 3: Evaluate local changes\n- Side X loses water     \implies its concentration increases.\n- Side Y gains water     \implies its concentration (molarity of \ceCuSO4\ce{CuSO4}) decreases/lowered.\n\nNote: No green colour forms because ions do not cross the SPM.\n\ntextAnswer:(1)\boxed{\\text{Answer: (1)}}

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0.05 M CuSO4 when treated with 0.01 M K2Cr2O7 gives green colour solution of Cu2Cr2O7. The two… (JEE Main 2024) | Canvas Classes