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2CP

Expert-verified
Found in: Page 136

### Matter & Interactions

Book edition 4th edition
Author(s) Ruth W. Chabay, Bruce A. Sherwood
Pages 1135 pages
ISBN 9781118875865

# Approximately what is the radius of a copper atom? Is it ${\mathbf{1}}{\mathbf{×}}{{\mathbf{10}}}^{\mathbf{-}\mathbf{15}}{\mathbf{}}{\mathbf{m}}$, ${\mathbf{1}}{\mathbf{×}}{{\mathbf{10}}}^{\mathbf{-}\mathbf{12}}{\mathbf{}}{\mathbf{m}}$, ${\mathbf{1}}{\mathbf{×}}{{\mathbf{10}}}^{\mathbf{-}\mathbf{10}}{\mathbf{}}{\mathbf{m}}$, ${\mathbf{1}}{\mathbf{×}}{{\mathbf{10}}}^{\mathbf{-}\mathbf{8}}{\mathbf{}}{\mathbf{m}}$, or ${\mathbf{1}}{\mathbf{×}}{{\mathbf{10}}}^{\mathbf{-}\mathbf{6}}{\mathbf{}}{\mathbf{m}}$ ?

The approximate radius of a copper atom is ${1}{×}{{10}}^{-8}{}{\mathrm{m}}$.

See the step by step solution

## Step 1: Given data and concept

The given atom is the copper atom.

We need to find the radius for the copper atom and that too in the proximity of the given values.

## Step 2: Radius of a copper atom

The radius of a copper atom can be calculated as,

$\begin{array}{rcl}{128}{}{\mathrm{pm}}& {=}& {128}{}{\mathrm{pm}}{.}\left(1\mathrm{pm}×\frac{1\mathrm{m}}{{10}^{12}\mathrm{pm}}\right)\\ & {=}& {1}{.}{28}{×}{{10}}^{-10}{\mathrm{m}}\end{array}$

## Step 3: Determining the approximate radius of a copper atom

From equation (I), the approximate radius of a copper atom can be calculated as,

$1.28×{10}^{-10}\mathrm{m}\approx 1×{10}^{-10}\mathrm{m}$

Thus, the approximate radius is $1×{10}^{-10}\mathrm{m}$.