Of the following, the two solids that will liberate \(\mathrm{Cl}_{2}(\mathrm{g})\) when heated with \(\mathrm{HCl}(\mathrm{aq})\) are \((\mathrm{a}) \mathrm{NaCl}(\mathrm{s})\) (b) \(\mathrm{ZnCl}_{2}(\mathrm{s}) ;(\mathrm{c}) \mathrm{MnO}_{2}(\mathrm{s}) ;(\mathrm{d}) \mathrm{CuO}(\mathrm{s}) ;(\mathrm{e}) \mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}(\mathrm{s})\) (f) \(\mathrm{NaOH}(\mathrm{s})\)

Short Answer

Expert verified
The two solids that will liberate \(Cl_{2}(g)\) when heated with \(HCl(aq)\) are \(MnO_{2}(s)\) and \(K_{2}Cr_{2}O_{7}(s)\).

Step by step solution

01

Use Reactivity Series

Firstly, we need to use the reactivity series or electrochemical series. In the electrochemical series, the displacement of Chlorine would occur by elements that are above it in the series. So, from the given options, \(MnO_{2}(s)\) and \(K_{2}Cr_{2}O_{7}(s)\) can displace Chlorine as Manganese and Chromium are above Chlorine in the reactivity series.
02

Formulate the Reactions

Let's illustrate this with balanced chemical equations. For \(MnO_{2}(s)\), the reaction with \(HCl(aq)\) can be written as: \(4HCl(aq) + MnO_{2}(s) \rightarrow MnCl_{2}(aq) + 2H_{2}O(l) + Cl_{2}(g)\). Similarly, for \(K_{2}Cr_{2}O_{7}(s)\), the reaction with \(HCl(aq)\) can be written as: \(14HCl(aq) + K_{2}Cr_{2}O_{7}(s) \rightarrow 2KCl(aq) + 2CrCl_{3}(s) + 7H_{2}O(l) + 3Cl_{2}(g)\). In both reactions, \(Cl_{2}(g)\) is liberated and therefore, the solids \(MnO_{2}(s)\) and \(K_{2}Cr_{2}O_{7}(s)\) meet the condition imposed by the question.

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