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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3mc090

An aqueous solution () is by mass and has density . Choose the correct statement(s). (Water .)

  1. AThe molarity is .
  2. BThe molality is equal to the molarity.
  3. CThe molality is .
  4. DThe mole fraction of is .

Answer: A, C, D

Take 100 g of solution: 4.9 g acid = 0.05 mol, water 95.1 g = 5.283 mol, volume = 100/1.03 = 97.09 mL. Molarity = 0.05/0.09709 = 0.515 M (A true). Molality = 0.05/0.0951 = 0.526 m, which differs from molarity (B false, C true). Mole fraction = 0.05/(0.05+5.283) = 0.0094 (D true).
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