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

Answer:

Distance = 154 pm

Explanation:

Given that,

The distance between carbon atoms in diamond is $1.54\times 10^{-8}\ cm$

We need to find the distance in pm.

We know that,

$1\ pm=10^{-12}\ m$

$1.54\times 10^{-8}\ cm=1.54\times 10^{-8}\times 10^{-2}\ m\\\\=1.54\times 10^{-10}\ m$

Multiplying and dividing by 10⁻².

$d=1.54\times 10^{-10}\times \dfrac{10^{-2}}{10^{-2}}\\\\=154\times 10^{-12}\ m\\\\=154\ pm$

So, the distance is 154 pm.