
The amount of a substance dissolved in a given volume of solution, often expressed in moles per liter.Concentration in chemistry refers to the amount of a solute present in a given quantity of solution or solvent. It is commonly expressed in moles per liter (molarity), but can also be given as mass fraction, parts per million, or percentage. Concentration governs reaction rates, equilibrium positions, and many physical properties of solutions, such as osmotic pressure and boiling point elevation.
The quantitative study of concentration began with the work of Jacobus Henricus van 't Hoff and Svante Arrhenius in the late 19th century, who developed the laws of chemical equilibrium and the concept of molarity. Earlier, Robert Boyle and others had noted the relationship between pressure and gas concentration (Boyle's law).
The effect of concentration is rooted in the frequency of molecular collisions. In a more concentrated solution, solute particles are closer together, increasing the chance of effective collisions that lead to chemical reactions. For example, in a reaction A + B → C, doubling the concentration of A doubles the rate if the reaction is first-order in A. Concentration also drives diffusion and osmosis, as particles move from high to low concentration to achieve equilibrium.
Concentration is controlled in countless industrial processes, from brewing and pharmaceuticals to water treatment. In medicine, intravenous fluids are carefully formulated to match blood plasma concentration, and in environmental science, pollutant concentrations are monitored to ensure safety.
The pH scale is a logarithmic measure of hydrogen ion concentration, where each unit change represents a tenfold change in acidity—so a solution with pH 3 is ten times more acidic than one with pH 4.
| concentration | variable | local concentration of the diffusing species — concentration mole per cubic metre |
| t | variable | time — time second |
| flux | variable | diffusive flux vector — diffusive flux mole per square metre per second |
| d/dt | operator | rate of change with respect to time — time derivative |
| divergence | operator | measures the net outflow of a vector field per unit volume — divergence operator |
| J | variable | Diffusive flux (amount per unit area per unit time) — diffusive flux mole per square metre per second |
| c | variable | Concentration of the diffusing species — concentration mole per cubic metre |
| x | variable | Spatial coordinate along the diffusion direction — position metre |
| D | constant | Material-specific proportionality constant relating flux to concentration gradient — diffusion coefficient = varies square metre per second |
| ∂/∂x | operator | Partial derivative with respect to position — partial derivative |





