Tests for negative ions
\(\require{mhchem}\) The tests for negative ions we need to know about for GCSE are: halides (chloride \(\ce{Cl-}\), bromide \(\ce{Br-}\), iodide \(\ce{I-}\)), carbonate \(\ce{CO_3^2-}\), and sulfate \(\ce{SO_4^2-}\). The simplest test is for carbonate so let's start with that.
If we used hydrochloric acid and potassium carbonate, the full reaction would be: $$\begin{equation} \ce{2HCl(aq) + K2CO3(aq) -> 2KCl(aq) + H2O(l) + CO2(g)} \end{equation}$$ If we write out all the ions and remove the unchanged ones (the spectator ions), we are left with the ionic equation: $$\begin{equation} \ce{2H+(aq) + CO_3^{2-}(aq) -> H2O(l) + CO2(g)} \end{equation}$$
Carbonate ions
The basis for this test is that: $$\ce{acid + carbonate -> salt + water + carbon\ dioxide}$$ If we add acid to a substance and find that it produces \(\ce{CO2}\), we know we have a carbonate. We test for \(\ce{CO2}\) by bubbling the gas through our old friend limewater; if the limewater turns milky, the gas was \(\ce{CO2}\). So, by putting acid in our solution to be identified, and testing any gas produced with limewater, we can tell whether carbonate ions are present. (We can also use this reaction to test for an acid, by adding some carbonate and seeing if \(\ce{CO2}\) is produced. Examiners sometimes ask the question that way round.)If we used hydrochloric acid and potassium carbonate, the full reaction would be: $$\begin{equation} \ce{2HCl(aq) + K2CO3(aq) -> 2KCl(aq) + H2O(l) + CO2(g)} \end{equation}$$ If we write out all the ions and remove the unchanged ones (the spectator ions), we are left with the ionic equation: $$\begin{equation} \ce{2H+(aq) + CO_3^{2-}(aq) -> H2O(l) + CO2(g)} \end{equation}$$
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