My way of thinking is as follow:
-Assume we do not konw the atomic weights of Zn or Cu, then we cannot convert the mass of Cu and Zn to the number of mole since if we know molar mass, we can directly convert it into atomic weight.
-comparing we the mass of Cu with the mass of the sulfur in copper sulfide cannot determine the atomic weight since we do not know the number of atoms of each element in the compound. We cannot determine the copper ion in the product is Cu2+ or Cu+ ion, the sulfur ion is S2- or S2-.
-Zinc chloride is an ionic compound, Zn2+ combined with Cl-. So, in a sample of ZnCl2 the numbers of atoms of Cl is always two times the number of Zn. The mass of Cl in the product is 1.02g-0.48g=0.54g. Suppose there are x atoms of Zinc in ZnCl2, then there are 2x atoms of Cl in ZnCl2. Hence the mass of x atoms of Cl is 0.54g/2=0.27g. The ratio of mass of zinc to the mass of Cl: 0.48/0.27=16/9. Once we know the atomic weight of Cl, we can multiply it with 16/9 to get the atomic weight of Zn. Atomic weight of Cl is 35.45 amu, then atomic weight of Zn is 35.45 amu x 16/9= 63.022 amu.
Is there any other method can I use to determine the atomic weight of Cu?