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The mineral trona has the formula ${Na}_{2} {CO}_{3} . {NaHCO}_{3} \cdot 2 H_{2} O$ and a formula mass of $226 g \cdot {mol}^{- 1}$ . How many mL of $0.125 M HCl$ are needed to convert all the carbonate and bicarbonate in a $0.407 g$ sample of trona into carbon dioxide and water?

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43.2 mL

21.6 mL

28.8 mL

14.4 mL

answer is A.

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Detailed Solution

It is known that,

$N_{1} V_{r} = N_{2} V_{2}$

$\begin{array}{l} \frac{0.407}{226} \times 3 = \frac{v \times 0.125}{1000} \\ V = 43.2 ml \end{array}$

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