The molar mass of copper is 63.5g. Thus there are 6.023 X 1023 atoms of copper in 63.5g of copper. So
63.5g of copper = 6.023 X 1023 atoms of copper
1g of copper = (6.023 X 1023 / 63.5) atoms of copper
So 0.5g of copper = (6.023 X 1023 X 0.5) / 63.5 atoms of copper
= 4.742 X 1021 atoms of copper
Similarly, the number of atoms in 0.635g of copper and 1g of copper come out to be 6.023 X 1021 and 9.485 X 1021 respectively. However, for 0.25 moles of copper, we will have
1 mole of copper = 6.023 X 1023 atoms of copper
0.25 moles of copper = 0.25 X 6.023 X 1023 atoms of copper
= 1.506 X 1023 atoms of copper
So, the correct answer is (c) 0.25 moles of copper.