A difinite amount of `BaCl_(2)` was dissolved in HCl solution of unknown normality. 20 " mL of " this solution was treated with 21.4 " mL of " 01 N NaOH, for complete neutralisation. Further 20 " mL of " the solution was added to 50 " mL of " 0.1 N `Na_(2)CO_(3)` and the precipitate was filtered off. The filtrate reacted with 10.5 " mL of " 0.08 N `H_(2)SO_(4)` using phenolphthalein as indicator. Calculate the strength of `BaCl_(2)` in mixture.

Explanation

To solve the problem step by step, we will follow the logical flow of the reactions and calculations involved.

### Step 1: Determine the Normality of HCl
We start with the neutralization reaction between HCl and NaOH. The equation for milliequivalents is given by:

\[ \text{Milliequivalents of NaOH} = \text{Milliequivalents of HCl} \]
...