Question

Molecular distances are given in picometers, where 1 pm is equivalent to 1 x 10-12 meter.If the distance between carbon atoms in a diamond is 1.54 x 10-8 cm, what is this distance in picometers

Answer 1

Distance = 154 pm

Step-by-step explanation:

Given that,

The distance between carbon atoms in diamond is
`1.54* 10^(-8)\ cm`

We need to find the distance in pm.

We know that,

`1\ pm=10^(-12)\ m`

`1.54* 10^(-8)\ cm=1.54* 10^(-8)* 10^(-2)\ m\\\\=1.54* 10^(-10)\ m`

Multiplying and dividing by 10⁻².

`d=1.54* 10^(-10)* (10^(-2))/(10^(-2))\\\\=154* 10^(-12)\ m\\\\=154\ pm`

So, the distance is 154 pm.