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The mass of copper atom is 1.06 × 10^ -22 and density of copper is 8.9 g /cm^3 Determine the number of atoms in 1 cm^3 of copper.
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Answer:
a) Treat this as a conversion of units using
1 Cu-atom =1.06∗10
−25
kg, and 1 cm =10
−2
m.
density =(8920
m
3
kg
)(
1cm
10
−2
m
)
3
(
1.06∗10
−25
kg
Cu−atom
)
=8.42∗10
22
cm
3
Cu−atom
(b) Thinking in terms of units, invert answer (a):
(density)
−1
=(
8.42∗10
22
Cu−atom
1cm
3
)
=1.19∗10
−23
cm
3
/Cu−atom
(c) For a cube of side L
L
3
=1.19∗10
−23
cm
3
→L=2.28∗10
−8
cm.
Explanation:
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