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Molecular formula of a compound is like :  H₂ O , H₂ S O₄ 

Molecular mass is the sum of masses of the atoms present in the molecule.  It is the mass of one molecule of the compound or element.

Molecular mass (or weight) of H₂ O = 2 * 1 + 16 = 18 amu or u.   1 amu = atomic mass unit = 1/12 th of mass of a C₁₂ atom.  1 amu is equal to mass of a proton approximately.

Molar mass is the mass of 1 mole of the element or compound.  One mole of any substance contains 6.0225 * 10²³ molecules.  One mole of H₂ O weighs 18 gms.

One mole of H₂ CO₃ - weighs 2* 1 + 12 + 16*3 = 63 gms and contains 6.0225 * 10²³ molecules of the carbonate compound.  Hence molar mass is 63 grams.

The relation between the molecular mass and molar mass will be that Molar mass = Avogadro number * Molecular mass.

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Molecular Mass and Molar Mass are calculated in the same way.
The difference is just that Molecular Mass is expressed as Unified Mass (u)
and Molar Mass is expressed in Grams (g).
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