The radius of a potassium atom is 0.227 nm. Express this radius in the unit centimeters. 1 point2.27 x 10^-62.27 x 10^-52.27 x 10^-72.27 x 10^-8

1. Break Down the Problem

We need to convert the radius of a potassium atom from nanometers (nm) to centimeters (cm). We know that:

• 1 nm = $10^{-7}$ cm

2. Relevant Concepts

Using the conversion factor: $1 \, \text{nm} = 10^{-7} \, \text{cm}$ We will multiply the radius given in nanometers by this conversion factor.

3. Analysis and Detail

Given:

• Radius of potassium atom = $0.227 \, \text{nm}$

To convert the radius to centimeters: $\text{Radius in cm} = 0.227 \, \text{nm} \times 10^{-7} \, \text{cm/nm} = 0.227 \times 10^{-7} \, \text{cm}$

4. Verify and Summarize

Now we need to express $0.227 \times 10^{-7}$ in scientific notation: $0.227 \times 10^{-7} = 2.27 \times 10^{-8} \, \text{cm}$

Final Answer

The radius of the potassium atom expressed in centimeters is $2.27 \times 10^{-8} \, \text{cm}$.