Question

The radius of a potassium atom is 0.227 nm. Express this radius in the unit centimeters.

Answer 1

Answer: -

The radius of a potassium atom is 2.27 x 10⁻⁸ cm.

Explanation: -

Here the radius of a potassium atom is given as 0.227 nm.

The unit 'nm' refers to nano meter.

1 nm = 10 ⁻⁹ m

Here 'm' is meter.

We need to convert the radius of a potassium atom to the unit of centimeters 'cm'.

We know that 1 cm = 10 ⁻² m.

Thus 1 nm = $\frac{10-9}{10-2}$

                = 10⁻⁷ cm

Thus 0.227 nm = 0.227 x 10⁻⁷ cm

                         = 2.27 x 10⁻⁸ cm.

The radius of a potassium atom is 2.27 x 10⁻⁸ cm.