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Molecular Mass and Formula Mass

General Chemistry • Chemical Compounds

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Topic launch

A formula tells you the mass of one molecule or formula unit.

Molecular mass and formula mass are found by adding the atomic masses of every atom shown in a chemical formula. Subscripts are the counting instructions.

Learning target

Use atomic masses from the periodic table, interpret subscripts, calculate compound mass, and distinguish molecular mass from formula mass.

H2O H O H 2 hydrogen atoms + 1 oxygen atom Mass = 2(atomic mass of H) + 1(atomic mass of O)
Read the formula Count atoms Multiply by atomic mass Add all contributions

Why it matters

Compound mass connects formulas to measurable samples.

A chemical formula is particle-level information. Molecular mass, formula mass, and molar mass translate that information into quantitative chemistry.

Stoichiometry

Balanced equations require mole ratios, and molar mass is the bridge between grams and moles.

Formulas and composition

Percent composition, empirical formulas, and molecular formulas all depend on formula mass.

Real compounds

Medicine doses, fertilizer analysis, and reaction yields all require converting formula information into mass.

Formula atoms and subscripts Formula mass amu per formula unit Molar mass g per mole The same numerical value connects microscopic particles to macroscopic grams.

Core concept

Subscripts multiply atomic masses.

Every element symbol has an implied count of 1 unless a subscript says otherwise. The total compound mass is the sum of each element’s mass contribution.

CO2 C O O 1 carbon atom and 2 oxygen atoms Total mass = carbon contribution + oxygen contribution

Formula reading rules

  • No subscript means 1 atom of that element.
  • A subscript multiplies only the element or group immediately before it.
  • Parentheses multiply everything inside the group.
In CO2, the 2 applies only to oxygen. It does not mean there are two carbon atoms.

Vocabulary and variables

Use the correct name for the kind of compound.

The calculation is the same addition process, but the vocabulary depends on whether the formula represents a molecule or an ionic formula unit.

Term Meaning Typical unit Example
Molecular mass Mass of one molecule, found by summing atomic masses. amu H2O, CO2, C6H12O6
Formula mass Mass of one formula unit, commonly used for ionic compounds. amu NaCl, MgO, CaCl2
Atomic mass Average mass of an element’s atoms from the periodic table. amu C is about 12.01 amu
Molar mass Mass of one mole of particles or formula units. g/mol H2O is about 18.02 g/mol

Molecular compound

Discrete molecules are present, so molecular mass is a natural term.

Ionic compound

A repeating crystal lattice is present, so formula mass refers to one formula unit.

Numerical connection

The amu value for one particle has the same numerical value as g/mol for one mole.

Main relationship

Compound mass is the sum of element contributions.

For each element, multiply the number of atoms by the atomic mass, then add all element contributions.

\[ \text{compound mass} = \sum(\text{number of atoms of element})(\text{atomic mass of element}) \]

The same relationship gives molecular mass for molecular compounds and formula mass for ionic compounds.

For CO2

Use 1 carbon and 2 oxygen atoms: \(1(12.01) + 2(16.00)\).

For NaCl

Use 1 sodium and 1 chlorine: \(1(22.99) + 1(35.45)\).

Atom count from formula subscripts × Atomic mass from periodic table = Mass contribution add all elements A subscript changes the atom count, so it changes the mass contribution.

Interactive formula builder

Build a formula and watch the mass update.

Adjust atom counts for common elements. The formula and total mass update as each element’s contribution changes.

H2O
Total atoms 3
Compound mass 18.02 amu
H2O has 2 hydrogen atoms and 1 oxygen atom, so its molecular mass is about 18.02 amu.

Dynamic relationship

Each atom added increases the total mass by its atomic mass.

The graph compares how total mass changes as more atoms of a single element are added. Heavy elements increase the mass faster.

Hydrogen contribution

Each H atom adds about 1.008 amu, so the line rises slowly.

Oxygen contribution

Each O atom adds about 16.00 amu, so the line rises much faster.

Subscripts are multipliers. Increasing a subscript increases the mass contribution in repeated equal steps.

Worked example

Calculate the molecular mass of glucose, C6H12O6.

Use approximate atomic masses: C = 12.01 amu, H = 1.008 amu, and O = 16.00 amu.

Count atoms from subscripts. C6H12O6 contains 6 carbon atoms, 12 hydrogen atoms, and 6 oxygen atoms.

Multiply each count by atomic mass. Carbon: \(6(12.01)\), hydrogen: \(12(1.008)\), oxygen: \(6(16.00)\).

Add contributions. \(72.06 + 12.096 + 96.00 = 180.156\ \text{amu}\).

Round reasonably. The molecular mass of glucose is about 180.16 amu.

\[ 6(12.01) + 12(1.008) + 6(16.00) = 180.16\ \text{amu} \]

The molar mass has the same numerical value: about 180.16 g/mol.

Common mistake

Do not ignore parentheses or subscripts.

A subscript outside parentheses multiplies every atom inside the parentheses. This is one of the most common formula-mass errors.

Incorrect reasoning

“Ca(OH)2 has 1 calcium, 1 oxygen, and 1 hydrogen because O and H each have no subscript.”

Correct reasoning

The outside subscript 2 multiplies the whole OH group, so Ca(OH)2 has 1 calcium, 2 oxygen atoms, and 2 hydrogen atoms.

Formula Correct atom count Mass setup
Ca(OH)2 Ca = 1, O = 2, H = 2 \(1(40.08) + 2(16.00) + 2(1.008)\)
Al2(SO4)3 Al = 2, S = 3, O = 12 \(2(26.98) + 3(32.06) + 12(16.00)\)
Another mistake is using atomic number instead of atomic mass. Use the decimal atomic masses from the periodic table for mass calculations.

Practice check

Calculate the formula mass of MgCl2.

Use approximate atomic masses: Mg = 24.31 amu and Cl = 35.45 amu. Pay attention to the subscript on chlorine.

Guide questions

  • How many magnesium atoms are in one formula unit?
  • How many chlorine atoms are in one formula unit?
  • Which atomic mass must be multiplied by 2?
\[ \text{formula mass} = 1(\text{Mg mass}) + 2(\text{Cl mass}) \]

The result is a formula mass in amu and has the same numerical value as molar mass in g/mol.

Show answer

MgCl2 has 1 Mg atom and 2 Cl atoms. The formula mass is \(1(24.31) + 2(35.45) = 24.31 + 70.90 = 95.21\ \text{amu}\). The molar mass is 95.21 g/mol.

Continue learning

Apply formula mass to compound calculations.

Use molecular mass and formula mass to connect formulas, atom counts, molar mass, and gram-to-mole conversions.

Read formula symbols and subscripts Add masses count × atomic mass Use molar mass connect to grams

Summary

Formula mass is atom counting plus atomic masses.

Read subscripts carefully

A missing subscript means 1. A subscript after parentheses multiplies the entire group.

Use periodic table masses

Use atomic masses, not atomic numbers, when calculating compound mass.

Connect to moles

The amu value for one molecule or formula unit has the same numerical value as molar mass in g/mol.

\[ \text{compound mass} = \sum(\text{atom count})(\text{atomic mass}) \]

This is the central relationship for both molecular mass and formula mass.

Final check: formula tells how many atoms, atomic mass tells how heavy each atom is, and the sum gives the compound mass.