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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3eq155

A solution is known to contain NaOH, and in at most two-component combinations. Titration with HCl gives V1 mL to the phenolphthalein end point and a further V2 mL to the methyl orange end point (same HCl). Which conclusions are correct?

  1. AV1 = 12.0 mL and V2 = 12.0 mL: only is present
  2. BV1 = 20.0 mL and V2 = 8.0 mL: NaOH and are present in mole ratio 3 : 2
  3. CV1 = 10.0 mL and V2 = 26.0 mL: and are present in mole ratio 8 : 5
  4. DV1 = 0 and V2 = 15.0 mL: NaOH and are both present

Answer: A, B, C

V1 = V2 means only carbonate. For V1 > V2: carbonate V2 = 8.0 and NaOH V1 - V2 = 12.0, ratio 12 : 8 = 3 : 2 (true). For V1 < V2: carbonate V1 = 10.0 and bicarbonate V2 - V1 = 16.0, ratio 16 : 10 = 8 : 5 (true). If V1 = 0 the solution has no hydroxide or carbonate; NaOH and cannot coexist (they react), so only is present (false).
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More questions on Acid-base titrations and double titration (NaOH, Na2CO3, NaHCO3)