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Statement 1: In the titration of $Na_2CO_3$ with $Hcl$ using methyl orange indicator, the volume required at the equivalence point is twice that of the acid required using phenolphthalein indicator Statement 2: Two moles of $HCl$ are required for the complete neutralization of one mole of $Na_2CO_3$ .

$(a)\;\text{Statement -1 is true; Statement -2 is true ; Statement -2 is a correct explanation for Statement -1} \\ (b)\;\text{Statement -1 is true; Statement -2 is true; Statement -2 is not a correct explanation for Statement -1 } \\(c)\;\text{Statement -1 is true , Statement -2 is false.} \\(d)\;\text{Statement -1 is false , Statement -2 is true} $

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A)
In presence of methyl orange as indicator the following reaction goes to completion.
$Na_2CO_3+HCl \to NaHCO_3+Nacl$
$NaHCO_3+HCl \to Nacl +H_2O +CO_2$
Hence b is the correct answer.
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