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ChemistryJEE Main 22 Jan 2026, Shift 2·Q1·MCQ·Easy–moderate

Some Basic Concepts · Mole fraction of mixed solutions

At T(K), 100 g of 98% HX2SOX4\ce{H2SO4} (w/w) aqueous solution is mixed with 100 g of 49% HX2SOX4\ce{H2SO4} (w/w) aqueous solution. What is the mole fraction of HX2SOX4\ce{H2SO4} in the resultant solution ?

(Given : Atomic mass H = 1 u ; S = 32 u; O = 16 u)

(Assume that temperature after mixing remains constant)

  1. (1)0.9
  2. (2)0.1
  3. (3)0.337
  4. (4)0.663
We corrected a printing error in the original paper

Answer corrected; the source key is (4) — 0.663 is the mole fraction of water; HX2SOX4\ce{H2SO4} = 147/98 = 1.5 mol, water = 53/18 = 2.94 mol, so x(HX2SOX4\ce{H2SO4}) = 0.337.

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