The Boltzmann constant (k or kB) is the physical constant describing the relationship between the thermodynamic temperature and the average kinetic energy of particles in a gas. It equals the molar gas constant R divided by the Avogadro constant NA and has the value 1.380 648 52(79)×10-23 J/K. It is named after the Austrian physicist Ludwig Eduard Boltzmann (1844-1906).
Boltzmann equation is a statistical definition of entropy, given by
where S and k are the entropy and Boltzmann’s constant, respectively, and W is the probability of finding the system in a particular state.
Avogadro constant (NA or L) is the number of elementary entities in one mole of a substance.
It has the value (6.022 045±0.000 031)×1023 mol-1.
Acid dissociation constant (Ka) is the equilibrium constant for the dissociation of an acid HA through the reaction
The quantity pKa = -log Ka is often used to express the acid dissociation constant.
Cryoscopic constant (Ef) is the constant that expresses the amount by which the freezing point Tf of a solvent is lowered by a non-dissociating solute, through the relation
where m is the molality of the solute.
Ebullioscopic constant (Eb) is the constant that expresses the amount by which the boiling point Tb of a solvent is raised by a nondissociating solute, through the relation
where b is the molality of the solute.
Faraday constant (F) is the electric charge of 1 mol of singly charged positive ions.
where NA is Avogadro’s constant (6.022×1023 mol-1) and e is the elementary charge (1.602×10-19 C).
Gravitational constant (G) is the universal constant in the equation for the gravitational force between two particles
where r is the distance between the particles and m1 and m2 are their masses.
Dielectric constant or permittivity (ε) is an index of the ability of a substance to attenuate the transmission of an electrostatic force from one charged body to another. The lower the value, the greater the attenuation. The standard measurement apparatus utilises a vacuum whose dielectric constant is 1. In reference to this, various materials interposed between the charged terminal have the following value at 20 °C:
vacuum | 1 |
air | 1.00058 |
glass | 3 |
benzene | 2.3 |
acetic acid | 6.2 |
ammonia | 15.5 |
ethanol | 25 |
glycerol | 56 |
water | 81 |
The exceptionally high value for water accounts for its unique behaviour as a solvent and in electrolytic solutions. Dielectric constant values decrease as the temperature rises.
Generalic, Eni. "Boltzmannova konstanta." Croatian-English Chemistry Dictionary & Glossary. 29 June 2022. KTF-Split. {Date of access}. <https://glossary.periodni.com>.
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