Everything about The Molar Mass Constant totally explained
The
molar mass constant, symbol
Mu, is a
physical constant which relates
atomic weight and
molar mass. Its value is defined to be 1×10
–3 kg/mol.
The molar mass constant is important in writing
dimensionally correct equations. It is common to see phrases such as
» The molar mass of an element is the atomic weight in grams per mole.
However atomic weight is a dimensionless quantity, and can't take the units of grams per mole. Formally, the operation is the multiplication by a constant which has the value 1 g/mol, that's the molar mass constant.
The molar mass constant is unusual (but not unique) among physical constants by having an exactly defined value rather than being measured experimentally. It is fixed by the definitions of the
mole and of
relative atomic mass. From the definition of the mole, the molar mass of
carbon 12 is exactly 12 g/mol. From the definition of relative atomic mass, the relative atomic mass of carbon 12, that's the atomic weight of a sample of pure carbon 12, is exactly 12. The molar mass constant is given by
» :
The
speed of light, the
electric constant and the
magnetic constant are other examples of physical constants whose values are fixed by the definitions of the
International System of Units (SI), and the
ampere.
The relatively simple value of the molar mass constant in
SI units is also a consequence of the way in which the International System of Units is defined. It is possible to quote the value of the molar mass constant in other units: for example, it's equal to (1/453.592 37)
lb/mol ~ 2.204 623 262 × 10
−3 lb/mol. But it's also 1 lb/
lbmol or 1 kg/
kgmol, much simpler than even the number given above for the SI units (1×10
–3 kg/mol).
Further Information
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