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what is the charge in coulombs of the nucleus of a copper atom

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Look at the atomic number of the element copper (Cu).  That is the number of protons in the nucleus (as well as the number of electrons).  Copper is 29.
 
The elementary charge per proton (or electron) is 1.602x10^-19 coulomb.  This is a positive charge for protons and negative for electrons.  (A non-ionized atom has an equal number of neutrons and electrons, so there is no net charge.)
 
The copper nucleus charge is 29 x 1.602x10^-19 = 4.646x10-18 coulomb.
Because the nucleus of a copper atom is electrically neutral its charge equals to the charge of all protons in the nucleus (number of protons or atomic number is equal to the number of electrons). Since the copper atom has the atomic number 29 this is a number of all electrons in the atom. One electron has the electric charge in Coulombs equal to
                                                1e = 1.602 x 10 -19 C (Coulombs)
 
We have to multiply this number by 29 to find the charge(Q) of the nucleus. We obtain
 
                                                     Q = 4.6548 X 10 -18 C
copper atom has atomic number 29. it has 29 protons in its nucleus. Charge on each proton is +1.6 X 10-19Coulomb.
Thus multiplying this charge on one proton with total number of protons, there is + 46.4 X 10-19 C charge on the nucleus of copper atom
Copper has atomic number 29, which means each copper atom has 29 protons (positively charged) in its nucleus and 29 electrons (negatively charged) in its shells. Depending on the isotope, there are also between 34 and 38 neutrons in the copper nucleus, but these are neutral and thus do not contribute to its charge.
 
Each proton carries the elementary charge of about 1.60*10-19 coulombs (C), so all 29 protons in the copper nucleus have a total charge
 
29(1.60*10-19 C)= 4.64*10-18 C.
 
The copper atom has a number 29 in Mendeleyev's periodic table of elements. It means that its nucleus has 29 protons. Each proton has a positive charge of 1.6*10-19 C. Therefore, the total charge of a copper's nucleus is
Q=29*1.6*10-19=4.74*10-18 C