Carbon − 12 contains 6 protons and 6 neutrons. The radius of the nucleus is approximately 2.7 fm (femtometers) and the radius of the atom is approximately 70 pm (picometers). Calculate the volume of nucleus and the volume of the atom. What percentage of the carbon atom’s volume is occupied by the nucleus? (Assume two significant figure) Concept introduction: The fundamental particles like electron, proton and neutron are assumed to be of spherical shape. Volume of sphere with radius r is V = 4 3 π r 3 Percentage of volume occupied by nucleus = volume of nucleus volume of atom × 100

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Chapter 2, Problem 81E

Interpretation Introduction

Interpretation:

Carbon $- 12$ contains $6$ protons and $6$ neutrons. The radius of the nucleus is approximately $2.7$ fm (femtometers) and the radius of the atom is approximately $70$ pm (picometers). Calculate the volume of nucleus and the volume of the atom. What percentage of the carbon atom’s volume is occupied by the nucleus?

(Assume two significant figure)

Concept introduction:

The fundamental particles like electron, proton and neutron are assumed to be of spherical shape.

Volume of sphere with radius r is

$V = \frac{4}{3} π r^{3}$

Percentage of volume occupied by nucleus $= \frac{volume of nucleus}{volume of atom} \times 100$

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