Argon atoms have a mass number of 40, but a relative atomic mass of 39.948 why is this so?

1 Answer
Oct 29, 2015

Because argon has three stable isotopes that contribute to the element's atomic mass.

Explanation:

An element's atomic mass is best thought of as the weighted average of the atomic masses of its stable isotopes.

As you know, the identity of a chemical element depends exclusively on the number of protons an atom has in its nucleus - this is known as atomic number.

In this case, you know for a fact that any atom that has 19 protons in its nucleus will be an atom of argon.

However, the number of neutrons an atom can have and still retain its chemical identity can vary quite significantly.

The atom you listed in the question is actually argon-40, an isotope of argon that has a mass number equal to 40. This implies that it will also have

mass number=A=Z+no. of neutrons

no. of neutrons=AZ=4018=22

This isotope of argon has 22 neutrons in its nucleus. But this is just one isotope of argon. Argon has a total of 24 isotopes, out of which three are stable and contribute to its average atomic mass.

Each stable isotope has an abundance associated with it. The average atomic mass of the element argon will be

avg. atomic mass=i(isotopei×abundancei)

The atomic masses of argon's stable isotopes and their respective abundances can be found here:

https://en.wikipedia.org/wiki/Isotopes_of_argon
http://education.jlab.org/itselemental/iso018.html

So, let's calculate the average atomic mass of argon

avg. atomic mass=35.96755 u×0.003336+37.96273 u×0.000629+39.96238 u×0.996035

avg. atomic massx=x39.948 u

As a conclusion, the average atomic mass of a chemical element depends on the atomic masses of its naturally occuring isotopes.