Final answer:
At the cathode of an electrolysis of copper(I) sulfate solution, a red-brown solid copper metal deposits on the electrode as copper ions are reduced.
Step-by-step explanation:
During the electrolysis of dilute copper(I) sulfate solution using carbon electrodes, what you would observe taking place at the cathode is a red-brown solid depositing on the electrode. This happens because at the cathode, reduction occurs; copper ions (Cu2+) gain electrons (e-) and are reduced to copper metal (Cu0), which deposits onto the electrode. The relevant half-reaction is represented by the equation: Cu2+ (aq) + 2e- → Cu0 (s).