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Question

25 mL solution containing a mixture of Na2CO3 and NaOH required 19.5 mL of 0.995N HCl for the phenolpthalein end-point and in a separate titration, 25 mL of the same mixture required 25.9 mL of same HCl for methyl orange end-point. The concentration (in g/L) of Na2CO3 in the mixture is 9X. Find the value of X.

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Solution

25.919.5=6.4mL of 0.995NHCl corresponds to the half neutralization of Na2CO3.
The number of moles of Na2CO3 is 0.995N×6.4×103=6.368×103moles
The concentration of Na2CO3 is 6.368×103moles×106g/mol25×103L=27g/L.
value of X= 3
19.56.4=13.1mL of 0.995NHCl corresponds to the neutralization of NaOH.
The number of moles of NaOH is 0.995N×13.1×103=13.03×103moles
Thus, the concentration of NaOH is 13.03×102moles×40g/mol25×103L=20.86g/L

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