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Relative Atomic Mass & Relative Molecular Mass Simplified Revision Notes

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1.2.1 Relative Atomic Mass & Relative Molecular Mass

Understanding relative masses is essential for calculating the quantities involved in chemical reactions, particularly for determining the mass of atoms, molecules, or compounds.

Relative Atomic Mass ArA_r

infoNote

The relative atomic mass (ArA_r) of an element is the average mass of an atom of that element compared to 1/12th the mass of a carbon-12 atom. This value is dimensionless, meaning it has no unit.

Key points:

  • Carbon-12 is chosen as the reference because it is non-toxic, solid at room temperature, and easily separable.
  • ArA_r values account for the natural isotopic distribution of the element.
infoNote

Example: If an element has an ArA_r of 24, this means an average atom of that element is 24 times heavier than 1/12th the mass of a carbon-12 atom.

Relative Molecular Mass MrM_r

infoNote

The relative molecular mass (MrM_r) is the average mass of a molecule compared to 1/12th the mass of a carbon-12 atom. Like ArA_r, MrM_r is dimensionless.

  • For covalent compounds, MrM_r is used to describe the sum of the relative atomic masses of the atoms within a molecule.
infoNote

Example: For water H2OH_2O

Mr=2Ă—Ar(H)+Ar(O)M_r = 2 \times A_r(\text{H}) + A_r(\text{O}) =2Ă—1+16=:highlight[18]= 2 \times 1 + 16 = :highlight[18]

Relative Formula Mass (RFM)

infoNote

The relative formula mass (RFM) is used for ionic compounds, but MrM_r is often accepted for both ionic and covalent compounds. It is calculated by summing the relative atomic masses of all the ions in the formula unit.

lightbulbExample

Example: For sodium chloride (NaCl):

RFM=Ar(Na)+Ar(Cl)RFM = A_r(\text{Na}) + A_r(\text{Cl}) =23+35.5=:highlight[58.5]= 23 + 35.5 = :highlight[58.5]

Molar Mass

infoNote

The molar mass is the mass of one mole of a substance, typically measured in grams per mole (g/mol). While ArA_r and MrM_r are dimensionless, molar mass links these relative values to the physical mass of a substance.

infoNote

Example: The molar mass of water H2OH_2O is 18 g/mol, meaning one mole of water molecules weighs 18 grams.

Key Equations

  • ArA_r or MrM_r = Relative Mass
  • Molar Mass (g/mol) = Relative Mass (ArA_r or MrM_r) in grams per mole

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