Step 1 — What did the trickster actually do?
The bangles came out shiny like new, but they also became noticeably lighter. So not only the dull tarnish but a thin layer of metallic gold itself has been removed by the ‘cleaner’. The reagent he used must therefore be a liquid that can dissolve metallic gold.
Step 2 — Which laboratory reagent can dissolve gold?
Gold is a noble metal: it does not react with dilute or concentrated $$\mathrm{HCl}$$, $$\mathrm{H_2SO_4}$$, $$\mathrm{HNO_3}$$ or $$\mathrm{NaOH}$$ taken individually. The one common reagent that does attack gold is aqua regia:
- Composition: a freshly prepared mixture of concentrated $$\mathrm{HCl}$$ and concentrated $$\mathrm{HNO_3}$$ in the volume ratio 3 : 1.
- The Latin name aqua regia means ‘royal water’, because the mixture attacks even the ‘royal’ (noble) metals such as Au and Pt.
Step 3 — Why does aqua regia dissolve gold? (balanced equation).
Inside the mixture, $$\mathrm{HNO_3}$$ acts as a strong oxidising agent that pulls electrons out of gold, while $$\mathrm{HCl}$$ supplies $$\mathrm{Cl^-}$$ ions that lock the resulting cation into the very stable tetrachloroaurate(III) complex $$\mathrm{[AuCl_4]^-}$$. The two half-equations (each balanced for atoms and for charge) are:
- Oxidation: $$\mathrm{Au + 4\,Cl^- \;\longrightarrow\; [AuCl_4]^- + 3e^-}$$
- Reduction: $$\mathrm{NO_3^- + 4\,H^+ + 3e^- \;\longrightarrow\; NO + 2\,H_2O}$$
The 3 electrons released by gold exactly match the 3 electrons taken up by nitrogen, so adding the half-equations gives the net ionic equation:
$$\mathrm{Au + 4\,Cl^- + NO_3^- + 4\,H^+ \;\longrightarrow\; [AuCl_4]^- + NO\uparrow + 2\,H_2O}$$
Reassembling the $$\mathrm{H^+}$$ with $$\mathrm{Cl^-}$$ and $$\mathrm{NO_3^-}$$ into their parent acids gives the overall balanced molecular equation:
$$\mathrm{Au + 4\,HCl + HNO_3 \;\longrightarrow\; HAuCl_4 + NO\uparrow + 2\,H_2O}$$
Quick atom and charge check: Au: 1 = 1; H: 4 + 1 = 5 = 1 + 4; Cl: 4 = 4; N: 1 = 1; O: 3 = 1 + 2 = 3. Both sides carry zero net charge. Hence the equation is fully balanced for atoms and charge, with the three electrons transferred from Au to N already accounted for inside the half-equations.
The product $$\mathrm{HAuCl_4}$$ (chloroauric acid) is soluble, so a microscopic skin of gold dissolves away in the liquid — restoring the shine but reducing the mass.
Step 4 — Detective’s verdict.
The cheating ‘goldsmith’ must have dipped the bangles in aqua regia, a 3 : 1 (by volume) mixture of concentrated $$\mathrm{HCl}$$ and concentrated $$\mathrm{HNO_3}$$. The dissolved gold (as $$\mathrm{HAuCl_4}$$) was carried away in the liquid that the man kept for himself.