(a) Determine the number of atoms in 1 cm 3 of copper. (b) Visualize the one cub
ID: 2124686 • Letter: #
Question
(a) Determine the number of atoms in 1 cm3 of copper.
(b) Visualize the one cubic centimeter as formed by stacking up identical cubes, with one copper atom at the center of each. Determine the volume of each cube.
(c) Find the edge dimension of each cube, which represents an estimate for the spacing between atoms.
The mass of a copper atom is 3.58 1times 0-25 kg, and the density of copper is 8 920 kg/m3 Determine the number of atoms in 1 cm3 of copper. Visualize the one cubic centimeter as formed by stacking up identical cubes, with one copper atom at the center of each. Determine the volume of each cube. Find the edge dimension of each cube, which represents an estimate for the spacing between atoms.
Explanation / Answer
a)
desity = 8920 kg/m^3
=8.92 g/m^3
mass of 1 cm^3 of copper = volume * density
= 1 * 8.92 = 8.92 g
mass of 1 copper atom = 3.58 * 10^-25 kg = 3.58*10^-22 g
no. of atoms = 8.92 / 3.58*10^-22 = 2.492*10^22 atoms
b)
volume of each cube = volume of copper/number of atoms
= 1/2.492*10^22 = 4.013*10^-23 cm^3
c)
edge length = (volume of the cube)^(1/3)
= (4.013 *10^-23)^(1/3)
=3.424 * 10^-8 cm (or 3.424 *10^-10 m or 3.424 armstongs)
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