The distance between atoms is sometimes given in picometers, where 1 pm is equivalent to 1 × 10⁻¹² m. If the distance between the layers of atoms in a particular compound is given as 338 pm, what is the distance in cm?

The distance in cm between the layers of atoms is 3.38 x 10⁻⁸ cm.

Explanation:

According to the given data 1 picometer equals 1 x 10⁻¹² meters or it can be said that there are 1 x 10⁻¹² m in a pm. So, firstly let's convert the given value in meter by multiplying it with 1 x 10⁻¹² m/pm.

distance = 338 pm x  1 × 10⁻¹² m/pm

distance = 3.38 x 10⁻¹⁰ m

There are 100 cm in a m. So, to obtain the answer in cm let's multiply 100cm/m to the above answer,

distance = 3.38 x 10⁻¹⁰m x 100cm/m

distance = 3.38 x 10⁻⁸ cm