quantity

concentration

The amount of a substance dissolved in a given volume of solution, often expressed in moles per liter.
16 related articles · 2 formulas

Description

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.

History

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).

How it works

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.

In practice

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.

Fun fact

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.

Concept graph →

Formulas

$$ rac{ ext{d} ext{concentration}}{ ext{d}t} = ext{divergence of flux}$$
Describes how concentration changes over time due to diffusion.
What is in the formula
concentrationvariablelocal concentration of the diffusing species — concentration mole per cubic metre
tvariabletime — time second
fluxvariablediffusive flux vector — diffusive flux mole per square metre per second
d/dtoperatorrate of change with respect to time — time derivative
divergenceoperatormeasures the net outflow of a vector field per unit volume — divergence operator
$$J = -D \frac{\partial c}{\partial x}$$
Diffusive flux is proportional to concentration gradient.
What is in the formula
JvariableDiffusive flux (amount per unit area per unit time) — diffusive flux mole per square metre per second
cvariableConcentration of the diffusing species — concentration mole per cubic metre
xvariableSpatial coordinate along the diffusion direction — position metre
DconstantMaterial-specific proportionality constant relating flux to concentration gradient — diffusion coefficient = varies square metre per second
∂/∂xoperatorPartial derivative with respect to position — partial derivative

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