The best replacement for molar mass is molecular mass.

The best alternatives to molar mass are rated as following:
★★★★★  molecular mass
★★★★★  molecular weight
★★★★  atomic mass
★★★  mass
★★  formula mass
★  atomic weight
★  gram formula mass
★  amu
★  boiling point
★  empirical mass
★  molar weight
★  molarity
  mass number
  mole
  formula weight
  molar volume
  freezing point depression
  empirical formula mass

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Speaking about molar mass, one probably shouldn't forget about ideal gas law.

Other search terms related to molar mass and their ratings are:
★★★★★ ideal gas law
★★★ freezing point depression
★★ pv nrt
★★ density
★ moles and grams
grams and moles
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molar mass
molecular mass
molecular weight