Convert between moles and grams using accurate molar masses. Select a common compound or enter a custom molar mass.
The mole (symbol: mol) is the SI base unit for the amount of substance. It is defined as exactly 6.02214076 × 10²³ elementary entities (atoms, molecules, ions, or other particles). This number, known as Avogadro's constant (NA), was established by the International Union of Pure and Applied Chemistry (IUPAC) in 2019 as a fixed fundamental constant. The mole allows chemists to count particles by weighing them — a practical bridge between the microscopic world of atoms and the macroscopic world of laboratory measurements.
n = m⁄M or m = n × M
where n = amount in moles, m = mass in grams, M = molar mass in g/mol
The concept of the mole originated from the work of the Italian scientist Amedeo Avogadro (1776–1856), who proposed that equal volumes of gases at the same temperature and pressure contain the same number of molecules. However, it was not until the 20th century that the mole became a standard unit. Today, the mole is essential in all branches of chemistry — from stoichiometric calculations in synthesis to quantitative analysis in environmental science and pharmaceutical formulation.
The molar mass of a compound is the mass of one mole of that compound, expressed in grams per mole (g/mol). It is calculated by summing the atomic masses of all atoms in the molecular formula. For example, water (H₂O) has a molar mass of 18.015 g/mol: 2 × 1.008 (hydrogen) + 15.999 (oxygen). This value is the key to converting between mass and moles.
Molar masses are based on IUPAC standard atomic weights (2021) and are accurate to three decimal places.
| Compound | Formula | Molar Mass (g/mol) | Common Use |
|---|---|---|---|
| Water | H₂O | 18.015 | Solvent, coolant |
| Sodium Chloride | NaCl | 58.443 | Table salt, brine |
| Carbon Dioxide | CO₂ | 44.010 | Carbonation, greenhouse gas |
| Sulfuric Acid | H₂SO₄ | 98.079 | Industrial chemical, batteries |
| Sodium Hydroxide | NaOH | 39.997 | Lye, soap making |
| Glucose | C₆H₁₂O₆ | 180.156 | Metabolism, food science |
| Ethanol | C₂H₅OH | 46.068 | Alcohol, fuel |
| Ammonia | NH₃ | 17.031 | Fertilizer, cleaning |
| Methane | CH₄ | 16.043 | Natural gas, fuel |
| Calcium Carbonate | CaCO₃ | 100.086 | Limestone, antacid |
| Hydrochloric Acid | HCl | 36.461 | Stomach acid, pickling |
| Acetic Acid | CH₃COOH | 60.052 | Vinegar, solvent |
In drug synthesis and formulation, chemists must precisely measure the amount of active pharmaceutical ingredients (APIs). Suppose a reaction requires 0.15 moles of a compound with a molar mass of 325.4 g/mol. Using the formula m = n × M, the required mass is 48.81 g. This calculation ensures that the correct stoichiometric amount is used, directly impacting the efficacy and safety of the final drug product.
When measuring atmospheric CO₂ concentrations, scientists often express results in parts per million (ppm). To convert ppm to actual mass of CO₂ in a given volume of air, mole‑gram conversions are essential. For example, 400 ppm CO₂ means 400 µmol of CO₂ per mole of air. Using the molar mass of CO₂ (44.010 g/mol), this corresponds to 17.60 mg of CO₂ per mole of air — a critical value for climate modeling.
Problem: How many grams are in 2.5 moles of glucose (C₆H₁₂O₆)?
Answer: 2.5 moles of glucose weigh 450.39 grams.