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Get Full Access to Introductory Chemistry - 5 Edition - Chapter 4 - Problem 110p
Get Full Access to Introductory Chemistry - 5 Edition - Chapter 4 - Problem 110p

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# Carbon-12 contains 6 protons and 6 neutrons. The radius of

ISBN: 9780321910295 34

## Solution for problem 110P Chapter 4

Introductory Chemistry | 5th Edition

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Problem 110P

Problem 110P

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 percentage of the carbon atom's volume does the nucleus occupy?

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Solution 110P

Estimate the volume to be approximated by the shape of a sphere: V = (4/3)(pi)(r^3) V(nucleus) = (4/3)(pi)(2.7x10^-3 pm)^3 = 8.2x10^-5 pm^3 V(atom) = (4/3)(pi)(70 pm)^3 = 2.0x10^4 pm^3 The percentage of the volume of the atom occupied by the nucleus is: [V(nucleus)/V(atom)]x100% [(8.2x10^-5 pm^3)/(2.0x10^4 pm^3)] x 100% = (4.1x10^-7) %

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