Question

1. the radius of a potassium atom is 0.227 nm. express this radius in the unit centimeters.

Explanation:

Step1: Recall the conversion factor

We know that $1\ nm = 1\times10^{-9}\ m$ and $1\ cm=1\times 10^{-2}\ m$. So, $1\ nm=\frac{1\times10^{-9}}{1\times10^{-2}}\ cm = 1\times10^{-7}\ cm$.

Step2: Convert the radius

The radius of the potassium - atom is $r = 0.227\ nm$. Multiply by the conversion factor: $r=0.227\times1\ nm=0.227\times10^{-7}\ cm = 2.27\times 10^{-8}\ cm$.

Answer:

$2.27\times 10^{-8}\ cm$