The generalized ideal gas law is derived from a combination of the laws of Boyle and Charles. Ideal gas law is the equation of state
which defines an ideal gas, where p is pressure, V molar volume, T temperature, and R the molar gas constant (8.314 JK-1mol-1).
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).
Van der Waals’ equation is an equation of state for real fluids which takes the form:
where p is pressure, Vm is molar volume, T is temperature, R is the molar gas constant, and a and b are characteristic parameters of the substance which describe the effect of attractive and repulsive intermolecular forces.
In 1889, Svante Arrhenius explained the variation of rate constants with temperature for several elementary reactions using the relationship
where the rate constant k is the total frequency of collisions between reaction molecules A times the fraction of collisions exp(-Ea/RT) that have an energy that exceeds a threshold activation energy Ea at a temperature of T (in kelvin). R is the universal gas constant.
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.
Chemical equation is a way of denoting a chemical reaction using the symbol for the participating particles (atoms, molecules, ions, etc.); for example,
The single arrow is used for an irreversible reaction; double arrows are used for reversible reactions. When reactions involve different phases, it is usual to put the phase in brackets after the symbol.
s | = | solid |
l | = | liquid |
g | = | gas |
aq | = | aqueous |
The numbers a, b, c, and d, showing the relative numbers of molecules reacting, are called the stoichiometric coefficients. The convention is that stoichiometric coefficients are positive for reactants and negative for products. If the sum of the coefficients is zero, the equation is balanced.
For general reaction of some redox system
dependence of electrode potential of redox system upon activity of oxidised and reduced form in solution is described in Nernst’s equation for electrode potential:
where E = to electrode potential of redox system
E° = standard electrode potential of redox system
R = universal gas constant
T = thermodymical temperature
F = Faraday’s constant
z = number of electrons exchanged in redox reaction
aO = activity of oxidised form
aR = activity of reduced form
n = stechiometrical coefficient of oxidised form
m = stechiometrical coefficient of reduced form
Thermochemical equation is a compact equation representing a chemical reaction that describes both the stoichiometry and the energetics of the reaction. For example, the thermochemical equation
means When one mole of gaseous methane is burned in two moles of oxygen gas, one mole of carbon dioxide gas and 2 moles of steam are produced, and 2 220 kJ of heat are released.
Van’t Hoff equation is the equation expressing the temperature dependence on the equilibrium constant K of a chemical reaction:
where ΔrH° is the standard enthalpy of reaction, R the molar gas constant, and T the temperature.
The Heyrovsky-Ilkovic equation describes the entire current-potential curve (polarographic wave) of a reversible redox system in polarography
where R is the gas constant, T is the absolute temperature, F is the Faraday constant, n denotes the number of electrons taking part in the electrode reaction. E1/2 is a unique potential (for a given reaction and supporting electrolyte) termed the half-wave potential.
In order to obtain E1/2 from the above equation, we plot a graph of ln[(id-i)/i] against E. The intercept on the x-axis gives then an accurate value of E1/2. The slope of the obtained straight line is equal to nF/RT from which n is determined.
Generalic, Eni. "Jednadžba stanja idealnog plina." Croatian-English Chemistry Dictionary & Glossary. 29 June 2022. KTF-Split. {Date of access}. <https://glossary.periodni.com>.
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