Question

how to determine the standard electrode potential of copper

Answer 1

One implication is that the cell potentialwill be reduced from the standard value if the concentration of Zn2+(aq) is greater than that of Cu2+(aq) at the standardtemperature. An excess concentration ofCu2+(aq) will give a higher voltage.

Answer 2

When copper electrode is connected to standard hydrogen electrode, it acts as cathode and its standard electrode potential can be measured.

Eo =EoR - EoL = EoR - O = EoR

Pt(s) | H2 (g, 1 bar)| H+ (aq., 1M) || Cu2+ (aq., 1M)| Cu will measure standard electrode potential of copper electrode. 

To calculate the standard electrode potential of the given cell it is coupled with the standard hydrogen electrode in which pressure of hydrogen gas is one bar and the cone, of H+ ion in the solution is one molar and also the concentrations of the oxidized and the reduced forms of the species in the right hand half-cell are unity.☺️✌️