JEE Main · 2024 · Shift-IImediumSOL-079

The solution from the following with highest depression in freezing point/lowest freezing point is

Solutions · Class 12 · JEE Main Previous Year Question

Question

The solution from the following with highest depression in freezing point/lowest freezing point is

Options
  1. a

    180 g of acetic acid dissolved in 1 L of aqueous solution.

  2. b

    180 g of acetic acid dissolved in benzene

  3. c

    180 g of benzoic acid dissolved in benzene

  4. d

    180 g of glucose dissolved in water

Correct Answera

180 g of acetic acid dissolved in 1 L of aqueous solution.

Detailed Solution

Strategy:\n> Use the relation ΔTf=Kfm\Delta T_f = K_f \cdot m to solve for the boiling point elevation in the same solution (mm is constant).\n\nAnalysis:\n- ΔTf=Kfm    m=ΔTf/Kf\Delta T_f = K_f \cdot m \implies m = \Delta T_f / K_f.\n- ΔTb=Kbm=Kb(ΔTf/Kf)\Delta T_b = K_b \cdot m = K_b (\Delta T_f / K_f).\n\nGiven Kf=1.86,Kb=0.52,ΔTf=0.186K_f = 1.86, K_b = 0.52, \Delta T_f = 0.186:\n- m=0.186/1.86=0.1textmm = 0.186 / 1.86 = 0.1\\text{ m}.\n- ΔTb=0.52times0.1=0.052textK\Delta T_b = 0.52 \\times 0.1 = 0.052\\text{ K}.\n\ntextAnswer:(3)\boxed{\\text{Answer: (3)}}

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