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Faraday's First Law

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Question

Calculate the volume of $1.00 m o l L^{- 1}$ aqueous sodium hydroxide that is neutralized by $200 m L$ of $2.00 m o l L^{- 1}$ aqueous hydrochloric acid and the mass of sodium chloride produced. Neutralization reaction is:

$N a O H (a q .) + H C l (a q .) \to N a C l (a q .) + H_{2} O (l) .$

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Solution

Meq. of $N a O H =$ Meq. of $H C l =$ Meq. of $N a C l$

$N \times V_{m L} = N \times V_{m L} (N_{H C l} = M_{H C l}; N_{N a O H} = M_{N a O H})$

$1 \times V = 2 \times 200$

$∴ V = 400 m L$

Meq. of $N a C l = 2 \times 200 = 400$

$∴ \frac{w}{58.5} \times 1000 = 400$

$∴ W_{N a C l} = 23.4 g$

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