Relative formula mass
atomThe smallest part of an element that can exist. have very little massThe amount of matter an object contains. Mass is measured in kilograms (kg) or grams (g). so their relative atomic massThe mean relative mass of the atoms of the different isotopes in an element. It is the number of times heavier an atom is than one-twelfth of a carbon-12 atom. are used. The relative atomic mass of an elementA substance made of one type of atom only., symbol Ar, is the relative mass of its atoms compared to the mass of a carbon-12 atom. The Ar values for elements are given in the periodic table. Since Ar is a measure of relative mass, it has no units.
See the Atomic structure study guide for more on calculating relative atomic mass.
Calculating relative formula mass
The relative formula mass of a substance made up of moleculeA collection of two or more atoms held together by chemical bonds. is the sum of the relative atomic masses of the atoms in the numbers shown in the formulaA combination of symbols that indicates the chemical composition of a substance..
Relative formula mass has the symbol, Mr. To calculate the Mr for a substance:
- Work out how many atoms of each element there are in the chemical formula.
- Add together the Ar values for all the atoms of each element present.
For example, the formula for carbon dioxide is CO2. It consists of one carbon atom (Ar = 12) and two oxygen atoms (Ar = 16):
Mr of CO2 = 12 + 16 + 16 = 44
It could also be calculated this way:
Mr of CO2 = (1 脳 12) + (2 脳 16) = 12 + 32 = 44
Like Ar values, Mr values are just numbers. They have no units because they are relative masses.
Relative formula masses of ionic compounds
ionic compoundAn ionic compound occurs when a negative ion (an atom that has gained an electron) joins with a positive ion (an atom that has lost an electron). such as sodium chloride do not exist as molecules. However, their relative formula masses are calculated in the same way, from the numbers shown in the formula.
Worked example
Question
Calculate the relative formula mass, Mr, of calcium hydroxide, Ca(OH)2.
(Ar of Ca = 40, Ar of O = 16, Ar of H = 1)
Mr = 40 + (2 脳 16) + (2 脳 1)
= 40 + 32 + 2
= 74
It could also be calculated this way:
Mr = 40 + 2 脳 (16 + 1)
40 + 34 = 74
Question
Calculate the relative formula mass, Mr, of magnesium nitrate, Mg(NO3)2.
(Ar of Mg = 24, Ar of N = 14, Ar of O = 16)
Mr = 24 + (2 脳 14) + (2 脳 3 脳 16)
= 24 + 28 + 96
= 148
It could also be calculated this way:
Mr = 24 + 2 脳 [14 + (16 脳 3)]
= 24 + 124
= 148