# Question fc34e

Apr 15, 2017

The molecular mass of nitrogen is 4.650 × 10^"-26" color(white)(l)"kg"

#### Explanation:

color(white)(l)"kg". Here's how to calculate it.

1. Look up the atomic mass of $\text{N}$

$\text{[Atomic mass](https://socratic.org/chemistry/a-first-introduction-to-matter/atomic-mass-and-isotope-abundance) = 14.007 u}$

2. Calculate the molecular mass of ${\text{N}}_{2}$

$\text{Molecular mass" = 2 color(red)(cancel(color(black)("atoms N"))) × "14.007 u"/(1 color(red)(cancel(color(black)("atom N")))) = "28.014 u}$

3. Convert unified atomic mass units to grams

$\text{Molecular mass" = 28.014 color(red)(cancel(color(black)("u"))) × (1.660× 10^"-24" color(white)(l)"g")/(1 color(red)(cancel(color(black)("u")))) = 4.650 × 10^"-23"color(white)(l) "g}$

4. Convert grams to kilograms.

4.650 × 10^"-23" color(red)(cancel(color(black)("g"))) × "1 kg"/(1000 color(red)(cancel(color(black)("g")))) = 4.650 × 10^"-26" color(white)(l)"kg"

The molecular mass of nitrogen is 4.650 × 10^"-26" color(white)(l)"kg"