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Question

Which of the following has maximum number of atoms?
a)0.5 g atoms of Cu
b)0.635g of Cu
c)0.25 moles of Cu atoms
d)1g of Cu

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Solution

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.


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