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Answer :
Final answer:
To determine the number of atoms that span the thickness of the paper, convert the thickness to meters and calculate the number of angstroms. Divide this length by the radius of the atom to find the number of atoms.
Explanation:
To determine how many atoms span the thickness of the paper, we need to convert the thickness of the paper to meters and calculate the number of angstroms in this length. We can then divide the length by the radius of the atom to find the number of atoms.
First, let's convert the thickness of the paper from cm to meters:
0.0072 cm = 0.0072 x 0.01 m/cm = 0.000072 m
Next, let's calculate the number of angstroms in this length:
0.000072 m x (1 angstrom / 10^-10 m) = 7.2 x 10^8 angstroms
Finally, we can divide this length by the radius of the atom to find the number of atoms:
7.2 x 10^8 angstroms / 1.23 angstroms = 5.853 x 10^8 atoms
Therefore, approximately 5.853 x 10^8 atoms span the thickness of the paper.
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Answer:
[tex]292683[/tex]
Explanation:
Thickness of a piece of paper = 0.0072 cm
Radius of an atom = [tex]1.23\ \AA[/tex]
Conversion factor of [tex]\AA[/tex] to [tex]\text{cm}[/tex] is
[tex]1\ \AA=1\times 10^{-10}\ \text{m}=1\times 10^{-8}\ \text{cm}[/tex]
Diameter of an atom = [tex]2\times 1.23\times 10^{-8}=2.46\times 10^{-8}\ \text{cm}[/tex]
Number of atoms in one piece of paper is
[tex]\dfrac{0.0072}{2.46\times 10^{-8}}=292682.92\approx 292683[/tex]
Hence, the number of atoms in one piece of paper is [tex]292683[/tex].
