D. Empty Volume Determination of Aluminum A sample of aluminum weighs 27.0 g and has a volume of 10.0 cm3. The atomic radius of metallic aluminum has been determined by x-ray diffraction to be 0.143 nm. There are 6.02 x 1023 total atoms in the piece of metal. 1. Calculate the volume of individual atoms assuming that atoms are spheres. 2. Calculate the volume of atoms in the sample 3. Calculate the volume of the empty space in the aluminum sample 4. Calculate the percentage of the empty space in the aluminum sample 5. What kind of unit will the aluminum sample have? Explain your answer.

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D. Empty Volume Determination of Aluminum
A sample of aluminum weighs 27.0 g and has a volume of 10.0 cm3. The atomic radius
of metallic aluminum has been determined by x-ray diffraction to be 0.143 nm. There are 6.02
x 1023 total atoms in the piece of metal.
1. Calculate the volume of individual atoms assuming that atoms are spheres.
2. Calculate the volume of atoms in the sample
3. Calculate the volume of the empty space in the aluminum sample
4. Calculate the percentage of the empty space in the aluminum sample
5. What kind of unit will the aluminum sample have? Explain your answer.
Transcribed Image Text:D. Empty Volume Determination of Aluminum A sample of aluminum weighs 27.0 g and has a volume of 10.0 cm3. The atomic radius of metallic aluminum has been determined by x-ray diffraction to be 0.143 nm. There are 6.02 x 1023 total atoms in the piece of metal. 1. Calculate the volume of individual atoms assuming that atoms are spheres. 2. Calculate the volume of atoms in the sample 3. Calculate the volume of the empty space in the aluminum sample 4. Calculate the percentage of the empty space in the aluminum sample 5. What kind of unit will the aluminum sample have? Explain your answer.
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