Step 1: Identify Reactants\nWe are titrating 0.1 N Na
2CO
3 with 0.1 N HCl.
\nNa
2CO
3, a salt of a strong base (NaOH) and a weak dibasic acid (H
2CO
3), hydrolyzes to produce OH
-, making the solution basic. Thus, it acts as a weak base.
\nHCl is a strong acid.
\nThis is a weak base (Na
2CO
3) titrated with a strong acid (HCl).
\n\n
Step 2: Understand Equivalence Points\nSodium carbonate reacts with HCl in two steps:
\n1. Na
2CO
3 + HCl → NaHCO
3 + NaCl
\nCarbonate converts to bicarbonate. The equivalence point is at pH 8.3-9.0.
\n2. NaHCO
3 + HCl → H
2CO
3 + NaCl
\nBicarbonate converts to carbonic acid. Carbonic acid (H
2CO
3) decomposes into CO
2 and H
2O. The complete neutralization equivalence point is at pH 3.8-4.3.
\n\n
Step 3: Choose the Indicator\nAn ideal indicator changes color near the equivalence point.
\nPhenolphthalein changes color at pH 8.2-10.0, suitable for the first equivalence point (carbonate to bicarbonate, pH 8.3-9.0).
\nMethyl orange changes color at pH 3.1-4.4, suitable for the second (complete) equivalence point (bicarbonate to carbonic acid/CO
2, pH 3.8-4.3).
\nThe question asks for the "best indicator for titrating 0.1 N Na
2CO
3 against 0.1 N HCl". This usually implies complete neutralization. For complete neutralization, the solution is acidic at the equivalence point. Therefore, an indicator that changes color in the acidic range is required.
\n\n
Step 4: Evaluate Options\n
\n - (A) Methyl orange: Its pH range (3.1-4.4) is ideal for the second equivalence point (complete neutralization).
\n - (B) Litmus: Litmus changes color over a broad range, which is not sharp enough for precise titration.
\n - (C) Phenolphthalein: Its pH range (8.2-10.0) is suitable for the first equivalence point, but not for complete neutralization.
\n - (D) Potassium ferricyanide: This is not a common acid-base indicator for this type of titration.
\n
\n\nFor complete neutralization of Na
2CO
3 with HCl, the equivalence point pH is acidic (around 3.8-4.3). Methyl orange is the most suitable indicator for this pH range.
\n\n\[ \n\boxed{\text{Methyl orange}} \n\]\n