Chapter 37: Q. 39 (page 1083)

The diameter of an atom is $1.2 \times 10^{- 10} m$ and the diameter of its nucleus is $1.0 \times 10^{- 14} m$ . What percent of the atom's volume is occupied by mass and what percent is empty space?

Short Answer

Expert verified

The volume occupied by mass $5.79 \times 10^{- 11} %$

Step by step solution

Given information

The diameter of an atom is $1.2 \times 10^{- 10} m$

The diameter of its nucleus is $1.0 \times 10^{- 14} m$ .

calculation

All masses are confined in the nucleus. So the ratio will be the ratio nucleus to atoms volume . The volume of the atom is $V_{a} = \frac{4}{3} π r_{a}^{3} = \frac{4}{3} π {(1.2 \times 10^{- 10})}^{3} = 7.24 \times 10^{- 30} m^{3}$

The volume of nucleus is $V_{n} = \frac{4}{3} π r_{n}^{3} = \frac{4}{3} π {(1.0 \times 10^{- 14})}^{3} = 4.19 \times 10^{- 42} m^{3}$

So the ratio is

$\frac{4.19 \times 10^{- 42}}{7.24 \times 10^{- 30}} = 5.79 \times 10^{- 13} = 5.79 \times 10^{- 11} %$

So only $5.79 \times 10^{- 11 %}$ of volume actually occupied by mass

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The diameter of an atom is $1.2 \times 10^{- 10} m$ and the diameter of its nucleus is $1.0 \times 10^{- 14} m$ . What percent of the atom's volume is occupied by mass and what percent is empty space?

Short Answer

Step by step solution

Given information

calculation

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The diameter of an atom is 1.2×10-10mand the diameter of its nucleus is1.0×10-14m. What percent of the atom's volume is occupied by mass and what percent is empty space?

Short Answer

Step by step solution

Given information

calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Turning Points in Physics

Torque and Rotational Motion

Work Energy and Power

Atoms and Radioactivity

Fields in Physics

Solid State Physics

Study anywhere. Anytime. Across all devices.

The diameter of an atom is $1.2 \times 10^{- 10} m$ and the diameter of its nucleus is $1.0 \times 10^{- 14} m$ . What percent of the atom's volume is occupied by mass and what percent is empty space?