Beer’s law (or Beer-Lambert law) is the functional relationship between the quantity measured in an absorption method (A) and the quantity sought, the analyte concentration (c). As a consequence of interactions between the photons and absorbing particles, the power of the beam is attenuated from Po to P. Beer’s law can be written
where A is the absorbance at a given wavelength of light, ε is the molar absorbtivity or extinction coefficient (L mol-1 cm-1), unique to each molecule and varying with wavelength, b is the length of light path through the sample (cm), and c is the concentration of the compound in solution (mol L-1).
Solutions are homogenous mixtures of several components. The component which is found in a greater quantity is called the solvent and the other components are called solutes. Quantitative composition of a solution can be expressed by concentration (amount, mass, volume and number), by fraction (amount, mass, and volume), ratio (amount, mass, and volume) and by molality. Amount, mass, and volume ratio are numerical, nondimensional units and are frequently expressed as percentage (% = 1/100), promile (‰ = 1/1000) or parts per million (ppm = 1/1 000 000). If it is not defined, it is always related to the mass ratio.
Absorbance (A) is a logarithm of the ratio of incident radiant power (Po) to transmitted radiant power (P) through a sample (excluding the effects on cell walls).
The absorption of light by a substance in a solution can be described mathematically by the Beer-Lambert law
where A is the absorbance at a given wavelength of light, ε is the molar absorbtivity or extinction coefficient (L mol-1 cm-1), unique to each molecule and varying with wavelength, b is the length of light path through the sample (cm), and c is the concentration of the compound in solution (mol L-1).
If a point-like object undergoes a change in velocity Δv=vf-vi in time Δt=tf-ti (indexes i and f stand for initial and final instant as well as for initial and final velocity) its average acceleration, a is defined as
The instantaneous acceleration, a, is obtained from the average acceleration by shrinking the time interval Δt towards zero. The average acceleration approaches a limiting value, which is the acceleration of a given instant:
Acceleration is a vector quantity. SI unit for acceleration is m s-2.
Calibration is correcting a measuring instrument by measuring values whose true values are known. Calibration minimises systematic error.
Dissolved substance is a solid, liquid or gas matter dissolved in a solvent. Depending upon the particle size of dissolved substance, solutions differ in properties and can be divided into real solutions (diameter of particles is smaller than 1 nm), colloid solutions (diameter of particles is from 1 nm to 200 nm) and suspensions (diameter of particles is greater than 200 nm).
Equation of state is an equation relating the pressure, volume, and temperature of a substance or system. Equation of state for ideal gas
where p is pressure, V molar volume, T temperature, and R the molar gas constant (8.314 JK-1mol-1).
Activity (a) is a thermodynamic function used in place of concentration in equilibrium constants for reactions involving nonideal gases and solutions. For the species i activity is defined as
where ai is the activity of the species i, ci is its molar concentration, and fi is a dimensionless quantity called the activity coefficient.
Generalic, Eni. "Molarna veličina." Croatian-English Chemistry Dictionary & Glossary. 29 June 2022. KTF-Split. {Date of access}. <https://glossary.periodni.com>.
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