Chapter 1, Problem 18P

(a)

To determine

The diameter of atom in inches.

Answer to Problem 18P

The diameter of atom $=3.94\times {10}^{-9}\text{inches}$

Explanation of Solution

Given:

Diameter of atom $=1\times {10}^{-10}\text{m}$

Formula used:

1 meter = 39.37 inches

Calculation:

Diameter of atom $=1\times {10}^{-10}\text{m}$

So,

  $\begin{array}{c}d=1\times {10}^{-10}\text{m}\\ d=1\times {10}^{-10}\times 39.37\\ =3.94\times {10}^{-9}\text{inches}\end{array}$

Conclusion:

Thus, the diameter of atom $=3.94\times {10}^{-9}\text{inches}$

(b)

To determine

Number of atoms are along a given line.

Answer to Problem 18P

The number of atoms in 1 cm line is

  $1\times {10}^8$

Explanation of Solution

Given:

Diameter of atom $=1\times {10}^{-10}\text{m}$

Length of line = 1 cm

Formula used:

1 meter = 100 cm

Calculation:

Diameter of atom

  $=1\times {10}^{-10}\text{m}$

So,

  $\begin{array}{l}d=1\times {10}^{-10}m=1\times {10}^{-8}\text{cm}\\ l=1\text{cm}\\ n=\frac{l}{d}=\frac{1\text{cm}}{1\times {10}^{-8}\text{cm}}=1\times {10}^8\end{array}$

Conclusion:

Thus, the number of atoms in 1 cm line is $1\times {10}^8$