Question #fc34e

1 Answer
Apr 15, 2017

Answer:

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 #"N"#

#"[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 #"N"_2#

#"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

#"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"#