25ml solution containing mixture of Na₂CO₃ and NaOH required 20 ml of 1N HCl for the phenolphthalein end point and in a separate titration 25 ml of the same mixture required 25ml of same HCl for methyl orange end point. Ratio of moles of Na₂CO₃ and NaOH taken in initial mixture & convert that into decimal form.

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Detailed Solution

x millimoles of Na₂CO₃and y millimoles of NaOH are present in initial mixture
$x + y = 20 x = 5 2 x + y = 25 y = 15 ∴ \frac{x}{y} = \frac{1}{3} = 0.33$

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