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# How do you find the molar mass of argon?

Grab a periodic table!

The thing to remember about the **molar mass** of an element is that it's actually given to you in the Periodic Table of .

Every element listed in has its **relative ** added to the bottom of its element box. An element's relative atomic mass, ##A_r##, tells you the ratio that exists between the **average** mass of the atoms that make up an element and ##1/12"th"## of the mass of a single, unbound carbon-12 atom, i.e. one unified atomic mass unit, ##"u"##.

Grab a periodic table and look for argon, ##"Ar"##. You'll find it located in period 3, group 18.

Notice the number added to the bottom of the element box. In this case, you have ##39.948##, which means that the **relative atomic mass** of argon is

##A_r = 39.948##

Here comes the cool part -- this value is also the element's **molar mass**! Here's why.

You get the relative atomic mass by dividing the atomic mass, ##m_a##, by ##"u"##, which means that you can get the atomic mass by multiplying the relative atomic mass by ##"u"##

##color(purple)(|bar(ul(color(white)(a/a)color(black)(m_a = A_r * "1 u")color(white)(a/a)|)))##

This means that the **atomic mass** of argon is equal to

##m_a = 39.948 * "1 u" = "39.948 u"##

By definition, a unified atomic mass unit, ##"u"##, is equal to ##"1 g mol"^(-1)##.

##color(purple)(|bar(ul(color(white)(a/a)color(black)("1 u " = " 1 g mol"^(-1))color(white)(a/a)|)))##

Therefore, the **molar mass** of argon, which is simply the mass of **one mole** of atoms of argon, is equal to

##39.948 color(red)(cancel(color(black)("u"))) * "1 g mol"^(-1)/(1color(red)(cancel(color(black)("u")))) = color(green)(|bar(ul(color(white)(a/a)color(black)("39.948 g mol"^(-1))color(white)(a/a)|)))##

Long story short, the **molar mass** of an element can be found by taking its relative atomic mass listed in the periodic table and tagging along the units that correspond to molar mass, i.e. ##"g mol"^(-1)##.