Molar Mass Calculator
Example 1
A student needs to calculate the molar mass of sulfuric acid (H₂SO₄) to prepare a standard solution for a titration experiment.
Solution
Sulfuric acid contains two hydrogen atoms, one sulfur atom, and four oxygen atoms. Using the formula that sums each element’s atomic mass multiplied by its count:
Substituting the atomic masses from the periodic table:
Answer
98.08 g/mol
The molar mass of H₂SO₄ is 98.08 grams per mole.
The molar mass of H₂SO₄ is 98.08 grams per mole.
Source: LibreTexts CK-12 Foundation
Example 2
A chemist is using copper(II) sulfate pentahydrate (CuSO₄·5H₂O) to prepare a solution. The hydrated form must be used because the anhydrous form is hygroscopic and difficult to weigh accurately.
Solution
The anhydrous CuSO₄ contributes 159.61 g/mol. Each water molecule adds 18.015 g/mol, and with five water molecules:
The hydrated molar mass formula gives:
Answer
249.69 g/mol
Using the anhydrous mass (159.61 g/mol) instead would give a result 36% too low.
Using the anhydrous mass (159.61 g/mol) instead would give a result 36% too low.
Example 3
A researcher dissolves 12.0 g of an unknown non-electrolyte in 100.0 g of water. The freezing point of the solution is −1.55°C. The researcher must identify the compound by determining its molar mass.
Solution
The freezing point of water is depressed by 1.55 °C when 12.0 g of the unknown is dissolved in 100.0 g (0.100 kg) of water. With Kₒ = 1.86 °C·kg/mol for water, the molality is ΔTₒ / Kₒ = 1.55 / 1.86 = 0.833 mol/kg.
Freezing point depression relates to molar mass through the formula:
The moles of solute are 0.833 mol/kg × 0.100 kg = 0.0833 mol. The molar mass is therefore 12.0 g / 0.0833 mol = 144 g/mol.
Answer
144 g/mol
This molar mass is not consistent with sucrose (C₁₂H₂₂O₁₁, 342 g/mol), so the unknown is not sucrose. It is more likely a smaller molecule, possibly an amino acid. Further tests would confirm the identity.
This molar mass is not consistent with sucrose (C₁₂H₂₂O₁₁, 342 g/mol), so the unknown is not sucrose. It is more likely a smaller molecule, possibly an amino acid. Further tests would confirm the identity.
Source: LibreTexts CK-12 Foundation - Calculating Molar Mass
Example 4
A 0.500 g sample of an unknown hydrocarbon is burned completely in excess oxygen, producing 1.540 g of CO₂ and 0.630 g of H₂O. Determine the empirical formula and the molar mass of the hydrocarbon if its vapour density is 29 relative to hydrogen.
Solution
Moles of C = moles of CO₂ = 1.540 g / 44.01 g/mol = 0.0350 mol. Mass of C = 0.0350 × 12.01 = 0.420 g.
Moles of H = 2 × moles of H₂O = 2 × (0.630 / 18.015) = 2 × 0.0350 = 0.0700 mol. Mass of H = 0.0700 × 1.008 = 0.0706 g.
Mass check: 0.420 + 0.0706 = 0.4906 g (within 0.0094 g of 0.500 g — acceptable for experimental error).
The mole ratio of C to H simplifies to the empirical formula:
The empirical formula is CH₂. Vapour density is the density of the gas relative to hydrogen gas under the same conditions. Since hydrogen has a molar mass of 2 g/mol, a vapour density of 29 implies the unknown molar mass is 2 × 29 = 58 g/mol.
The empirical formula mass of CH₂ is 12.01 + 2.016 = 14.03 g/mol. The ratio n = 58 / 14.03 ≈ 4 means the molecular formula contains four empirical units.
The molecular formula is (CH₂)₄ = C₄H₈.
Answer
Empirical formula: CH₂, molecular formula: C₄H₈
Molar mass 56.11 g/mol is close to the vapour density estimate of 58. The hydrocarbon is likely butene or cyclobutane.
Molar mass 56.11 g/mol is close to the vapour density estimate of 58. The hydrocarbon is likely butene or cyclobutane.
Published:
Updated:
References
- [1]Pearson, Vogel's Textbook of Quantitative Chemical Analysis, 2000.
- [2]IUPAC, IUPAC Gold Book - Relative Atomic Mass. https://goldbook.iupac.org/terms/view/R05258
- [3]National Institutes of Health, PubChem Compound Database. https://pubchem.ncbi.nlm.nih.gov
Glossary
- Molar mass (M) – The mass of one mole of a chemical substance, expressed in grams per mole (g/mol). It is calculated by summing the atomic masses of all atoms in the chemical formula using values from the periodic table.
- Mole (mol) – The SI base unit for amount of substance. One mole contains exactly 6.02214076 × 10²³ elementary entities, a value known as Avogadro’s number. The mole bridges the atomic scale and the macroscopic scale in chemical calculations.
- Molecular weight – The sum of the atomic weights of all atoms in a molecule, expressed in atomic mass units (amu) or daltons (Da). For most practical purposes, molecular weight and molar mass are numerically interchangeable.
- Atomic mass – The mass of a single atom of an element, expressed in atomic mass units (amu), where 1 amu is defined as one-twelfth the mass of a carbon-12 atom. Values are obtained from the periodic table.
- Chemical formula – A notation that represents the types and numbers of atoms in a chemical compound using elemental symbols and numerical subscripts. For example, H₂SO₄ indicates two hydrogen atoms, one sulfur atom, and four oxygen atoms.
- Empirical formula – The simplest whole-number ratio of atoms of each element in a compound. For hydrogen peroxide, the molecular formula is H₂O₂ but the empirical formula is HO.
- Molecular formula – The actual number of atoms of each element in a molecule. The molecular formula is always a whole-number multiple of the empirical formula and is used in stoichiometric calculations for chemical reactions.
- Avogadro’s number (NA) – The number of particles in one mole (6.02214076 × 10²³). It is the proportionality factor that relates the molar mass of a substance to the mass of a single molecule.
- Periodic table – A tabular arrangement of the chemical elements organised by atomic number, electron configuration, and recurring chemical properties. It provides the standard atomic masses used in molar mass calculations.
- Formula unit – The empirical formula mass of an ionic compound expressed in grams per mole. For sodium chloride (NaCl), the formula unit mass is 58.44 g/mol, representing one mole of Na⁺ and one mole of Cl⁻ ions.
How to Use?
- 1
Select what to calculate
Choose Moles (n), Mass (m), or Molar mass (M) from the dropdown. The field for the value you are solving for hides automatically so you only see the inputs you need.
- 2
Enter the two known values
Type in your numbers. Use the unit dropdowns next to each field to switch between grams and kilograms for mass, or between g/mol and kg/mol for molar mass.
- 3
Use the chemical search (optional)
Search for any compound by name. The molar mass field fills in automatically from PubChem, so you do not need to look it up manually.
- 4
Review the result
The primary result appears with your selected unit. Additional alternative units are shown below for convenience.
- 5
Check the reference table
Use the built-in molar mass table as a quick reference for common compounds and hydrated salts.
Frequently Asked Questions
Molar mass (g/mol) is the mass of one mole of a substance and carries units. Molecular weight is the dimensionless ratio of a molecule’s mass to one-twelfth the mass of carbon-12. Numerically they are identical: water has molecular weight 18.02 and molar mass 18.02 g/mol. In laboratory practice the terms are used interchangeably, but dimensional analysis requires molar mass when converting between grams and moles.
Multiply the atomic mass of each element by the number of atoms of that element in the formula, then sum the products. For glucose C₆H₁₂O₆: (6 × 12.01) + (12 × 1.008) + (6 × 16.00) = 180.16 g/mol. Use the periodic table for atomic masses; the Quick Fill feature in this calculator provides pre-verified molar masses for common compounds.
Using the anhydrous molar mass for a hydrated salt produces a significant error. CuSO₄·5H₂O has molar mass 249.69 g/mol, while anhydrous CuSO₄ is 159.61 g/mol — a 36% difference. If you weigh 24.97 g of the pentahydrate but enter 159.61 g/mol, the calculator reports 0.1564 mol instead of the correct 0.1000 mol. Always verify the hydration state on the chemical label.
Standard molar masses use the natural isotopic abundance of each element. For routine chemistry this is sufficient. If you are working with isotopically enriched compounds, such as deuterated solvents or 13C-labelled metabolites, use the exact isotopic mass. For example, D₂O (20.03 g/mol) is about 11% heavier than H₂O (18.02 g/mol). Mass spectrometry data provides the precise isotopic composition.
For a mixture of known composition, the average molar mass is M̅ = Σ(xᵢ × Mᵢ), where xᵢ is the mole fraction and Mᵢ is the molar mass of each component. For air: 0.78 × 28.01 (N₂) + 0.21 × 32.00 (O₂) + 0.01 × 39.95 (Ar) = 28.97 g/mol. For polymer polydispersity, the number-average (Mₙ) and weight-average (Mᴡ) molar masses are calculated differently from chromatographic data.
Multiply the number of moles by Avogadro’s number (6.022 × 10²³ molecules/mol). For 0.5 mol of CO₂: 0.5 × 6.022 × 10²³ = 3.011 × 10²³ molecules. Reverse the operation by dividing the number of molecules by Avogadro’s number to get moles, then use the molar mass to find the mass.
For general chemistry, two decimal places (e.g., 58.44 g/mol for NaCl) is sufficient. For analytical chemistry, use four decimal places or the full precision from the periodic table (Na = 22.98977, Cl = 35.453). This calculator accepts any input precision and uses IUPAC-standard atomic masses in its reference tables.
Divide the molar mass by Avogadro’s number (6.022 × 10²³). For water: 18.02 g/mol / (6.022 × 10²³) = 2.99 × 10–23 g per molecule. This is approximately 29.9 yoctograms (1 yg = 10–24 g). Mass spectrometry measures the mass-to-charge ratio of individual ions, which relates directly to the molar mass of the analyte.
Rearrange the ideal gas law PV = nRT. Since n = m / M, substitute to get PV = (m / M)RT, then M = (mRT) / (PV). Measure the mass (m) of a known volume (V) of gas at known temperature (T) and pressure (P). Use R = 0.08206 L·atm / (mol·K). This method is used for determining the molar mass of volatile liquids by the Dumas bulb technique.
Yes. Divide the experimental molar mass by the empirical formula mass to find the integer factor n. Multiply the subscripts in the empirical formula by n. For example, formaldehyde has empirical formula CH₂O (30.03 g/mol). If the experimental molar mass is 180.16 g/mol, n = 180.16 / 30.03 = 6, giving the molecular formula C₆H₁₂O₆ (glucose). This calculator provides the molar mass; you perform the ratio step.
Polymers have a distribution of chain lengths, so average molar masses are reported. Number-average (Mₙ) is measured by osmometry or end-group analysis. Weight-average (Mᴡ) is measured by light scattering. The polydispersity index (PDI = Mᴡ / Mₙ) describes the breadth of the distribution. Size-exclusion chromatography (SEC) provides both values. This calculator is most relevant for Mₙ measured by end-group analysis.
Mass spectrometry measures the mass-to-charge ratio (m/z) of ionised molecules. The molecular ion peak (M+ or [M+H]+) gives the monoisotopic mass, which is close to the nominal molar mass. High-resolution MS distinguishes 12C from 13C contributions, providing the exact mass to four or more decimal places. The molar mass from a mass spectrum is the sum of the exact masses of the most abundant isotopes.
Multiply the weighed mass by the purity fraction (e.g., 0.98 for 98% pure) before entering it into the calculator. If you weigh 10.0 g of a 95% pure reagent, the effective mass of the pure compound is 9.50 g. For high-precision work, also account for the molar mass of the impurity if its identity is known. Most reagent labels state purity as a percentage; the certificate of analysis provides the exact value.
Include all atoms in both the organic ion and the counterion, plus any solvent molecules. For sodium acetate trihydrate (CH₃COONa·3H₂O): C₂ (24.02), H₃ + H₂O×3 (3.024 + 54.05), O₂ + H₂O×3 (32.00 + 48.00), Na (22.99) = 136.08 g/mol. The molecular formula is the definitive guide: count every atom and sum the atomic masses.
Molar mass is an intrinsic property that does not change with temperature. However, if you determine molar mass experimentally using a method that depends on volume (such as the ideal gas law or osmotic pressure), temperature enters the measurement equation. For the ideal gas law, M = (mRT) / (PV), so accurate temperature and pressure measurements are essential. This calculator solves n = m / M directly, so temperature does not affect the result.
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