oxidation half reaction :-
Cu --------> Cu2+ + 2e- ...(1)
this is the balanced oxidation half reaction
b) reduction half reaction :-
NO3- -----------> NO
balance oxidation no.
NO3- + 3e- --------> NO
balance charge by adding H+
NO3- + 3e- + 4H+ ---------> NO
now balance O and H atoms by addin H2O...
NO3- + 3e- + 4H+ ---------> NO + 2H2O....(2)
this is balanced reduction half reaction
multiply (1) by 3 and (2) by 2 and add
3Cu ---------> 3Cu2+ + 6e-
2NO3- + 6e- + 8H+ ---------> 2NO + 4H2O
--------------------------------------...
6e- will cancel out fom both sides...
3Cu + 2NO3- + 8H+ ---------> 3Cu2+ + 2NO + 4H2O