Step 1: Identify the nature of the acid and base involved in the titration.
We are titrating 0.1 N Na
2CO
3 (sodium carbonate) against 0.1 N HCl (hydrochloric acid).
Na
2CO
3 is a salt of a strong base (NaOH) and a weak dibasic acid (H
2CO
3). In solution, it hydrolyzes to produce OH
- ions, making the solution basic. Thus, Na
2CO
3 acts as a weak base.
HCl is a strong acid.
So, this is a titration of a weak base (Na
2CO
3) with a strong acid (HCl).
Step 2: Understand the equivalence points for Na2CO3 titration with a strong acid.
Sodium carbonate reacts with HCl in two steps:
1. Na
2CO
3 + HCl → NaHCO
3 + NaCl
In this first step, carbonate converts to bicarbonate. The equivalence point for this step occurs at a pH of around 8.3-9.0.
2. NaHCO
3 + HCl → H
2CO
3 + NaCl
In this second step, bicarbonate converts to carbonic acid. Carbonic acid (H
2CO
3) then rapidly decomposes into CO
2 and H
2O. The equivalence point for the complete neutralization (both steps) occurs at a pH of around 3.8-4.3.
Step 3: Choose the appropriate indicator based on the equivalence point.
An ideal indicator for a titration changes color precisely at or very near the equivalence point of the titration. This means the indicator's pH range for color change should encompass the pH at the equivalence point.
Phenolphthalein changes color in the pH range of 8.2-10.0. It is suitable for the first equivalence point (carbonate to bicarbonate) where the pH is around 8.3-9.0.
Methyl orange changes color in the pH range of 3.1-4.4. It is suitable for the second (complete) equivalence point (bicarbonate to carbonic acid/CO
2), where the pH is around 3.8-4.3.
The 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 of sodium carbonate by a strong acid, the solution becomes acidic at the equivalence point due to the formation of carbonic acid (which then breaks down to CO
2 and H
2O). Therefore, an indicator that changes color in the acidic range is required.
Step 4: Evaluate the given options.
- (A) Methyl orange: Its pH range (3.1-4.4) is ideal for the second equivalence point (complete neutralization) of Na2CO3 with HCl.
- (B) Litmus: Litmus changes color over a broad range (red below 4.5, blue above 8.3), which is not sharp enough for precise titration, although it indicates general acidity/basicity.
- (C) Phenolphthalein: Its pH range (8.2-10.0) is suitable for the first equivalence point of Na2CO3 (carbonate to bicarbonate), but not for complete neutralization.
- (D) Potassium ferricyanide: This is a redox indicator or a precipitating agent in some titrations, not a common acid-base indicator for this type of titration.
For the complete neutralization of Na
2CO
3 (weak base) with HCl (strong acid), the equivalence point pH is acidic (around 3.8-4.3). Methyl orange is the most suitable indicator for this pH range.
\[
\boxed{\text{Methyl orange}}
\]