Gold is noble to react with nitric acid. However, gold does react with aqua regia because…

Gold is noble to react with nitric acid. However, gold does react with aqua regia because of the formation of complex ion \(\mathrm{AuCl}_{4}^{-}\). Consider the following half-reactions:

\[\begin{array}{l} A u^{3+}(a q)+3 e^{-} \longrightarrow A u(5): E^{\prime \prime}=1.5 \mathrm{~V} \\ A u C_{4}^{-}(a q)+3 e^{-} \longrightarrow \mathrm{Au}(5)+4 C^{-}(a q): E^{\prime \prime}=1 \mathrm{~V} \end{array}\]

Using the above data, calculate the formation constant for \(\mathrm{AuCl}_{4}^{-}\) at 25°C.