A copper-recycling sample contains both copper metal, \(\text{Cu(s)}\), and copper(II) oxide, \(\text{CuO(s)}\). A student adds dilute \(\text{HNO}_3\text{(aq)}\) to the sample. Both substances dissolve, but gas is produced only while \(\text{Cu(s)}\) remains. The student writes the following net ionic equations for the dissolution processes.

\[ \text{CuO(s)}+2\text{H}^{+}\text{(aq)}\rightarrow\text{Cu}^{2+}\text{(aq)}+\text{H}_2\text{O(l)} \]

\[ 3\text{Cu(s)}+2\text{NO}_3^{-}\text{(aq)}+8\text{H}^{+}\text{(aq)}\rightarrow3\text{Cu}^{2+}\text{(aq)}+2\text{NO(g)}+4\text{H}_2\text{O(l)} \]

Which statement correctly distinguishes the two dissolution pathways and justifies the distinction?