$(i)$ When a metal $X$ is added to the salt solution of a metal $Y$,the following chemical reaction takes place: Metal $X +$ Salt solution of $Y \rightarrow$ Salt solution of $X +$ Metal $Y$.
$(ii)$ Mention the inference you draw regarding the reactivity of metal $X$ and $Y$ and also about the type of reaction. State the reason for your conclusions.

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(N/A) The given reaction is a displacement reaction.
$(i)$ Metal $X$ is more reactive than metal $Y$.
$(ii)$ Metal $X$ is displacing metal $Y$ from its salt solution. According to the reactivity series,a more reactive metal displaces a less reactive metal from its salt solution. Therefore,$X$ is more reactive than $Y$.

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Write the balanced chemical equations for the following reactions:
$(a)$ Sodium carbonate on reaction with hydrochloric acid in equal molar concentrations gives sodium chloride and sodium hydrogencarbonate.
$(b)$ Sodium hydrogencarbonate on reaction with hydrochloric acid gives sodium chloride,water,and liberates carbon dioxide.
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