106. Carbon-12 contains 6 protons and 6 neutrons. The radius of the nucleus is approximately 2.7 fm, and the radius of the atom is approximately 70 pm. Calculate the volume of the nucleus and the volume of the atom. What per- centage of the carbon atom's volume does the nucleus occupy? (Hint: Convert both given radii to m, and then calculate their volumes using the formula for the volume of a sphere, which is V = {rr².)

World of Chemistry, 3rd edition
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Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
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Chapter3: Chemical Foundations: Elements, Atoms, And Ions
Section: Chapter Questions
Problem 21A
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106. Carbon-12 contains 6 protons and 6 neutrons. The radius
of the nucleus is approximately 2.7 fm, and the radius of
the atom is approximately 70 pm. Calculate the volume
of the nucleus and the volume of the atom. What per-
centage of the carbon atom's volume does the nucleus
occupy? (Hint: Convert both given radii to m, and then
calculate their volumes using the formula for the volume
of a sphere, which is V = {rr².)
Transcribed Image Text:106. Carbon-12 contains 6 protons and 6 neutrons. The radius of the nucleus is approximately 2.7 fm, and the radius of the atom is approximately 70 pm. Calculate the volume of the nucleus and the volume of the atom. What per- centage of the carbon atom's volume does the nucleus occupy? (Hint: Convert both given radii to m, and then calculate their volumes using the formula for the volume of a sphere, which is V = {rr².)
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