state auogadro law? state auogadro law
Answers
Answer:
Mathematical definitionEdit
The law can be written as:
{\displaystyle V\propto n\,}
or
{\displaystyle {\frac {V}{n}}=k}
where
V is the volume of the gas;n is the amount of substance of the gas (measured in moles);k is a constant for a given temperature and pressure.
This law describes how, under the same condition of temperature and pressure, equal volumes of all gases contain the same number of molecules. For comparing the same substance under two different sets of conditions, the law can be usefully expressed as follows:
{\displaystyle {\frac {V_{1}}{n_{1}}}={\frac {V_{2}}{n_{2}}}}
The equation shows that, as the number of moles of gas increases, the volume of the gas also increases in proportion. Similarly, if the number of moles of gas is decreased, then the volume also decreases. Thus, the number of molecules or atoms in a specific volume of ideal gas is independent of their size or the molar mass of the gas.

Relationships between Boyle's, Charles's, Gay-Lussac's, Avogadro's, combined and ideal gas laws, with the Boltzmann constant kB = R/NA = n R/N (in each law, properties circled are constant and properties not circled are variable)
Derivation from the ideal gas lawEdit
The derivation of Avogadro's law follows directly from the ideal gas law, i.e.
{\displaystyle PV=nRT},
where R is the gas constant, T is the Kelvin temperature, and P is the pressure (in pascals).
Solving for V/n, we thus obtain
{\displaystyle {\frac {V}{n}}={\frac {RT}{P}}}.
Compare that to
{\displaystyle k={\frac {RT}{P}}}
which is a constant for a fixed pressure and a fixed temperature.
An equivalent formulation of the ideal gas law can be written using Boltzmann constant kB, as
{\displaystyle PV=Nk_{\rm {B}}T},
where N is the number of particles in the gas, and the ratio of R over kB is equal to the Avogadro constant.
In this form, for V/N is a constant, we have
{\displaystyle {\frac {V}{N}}=k'={\frac {k_{\text{B}}T}{P}}}.
If T and P are taken at standard conditions for temperature and pressure (STP), then k′ = 1/n0, where n0 is the Loschmidt constant.
Mathematical definitionEdit
The law can be written as:
or
where
V is the volume of the gas;n is the amount of substance of the gas (measured in moles);k is a constant for a given temperature and pressure.
This law describes how, under the same condition of temperature and pressure, equal volumes of all gases contain the same number of molecules. For comparing the same substance under two different sets of conditions, the law can be usefully expressed as follows:
The equation shows that, as the number of moles of gas increases, the volume of the gas also increases in proportion. Similarly, if the number of moles of gas is decreased, then the volume also decreases. Thus, the number of molecules or atoms in a specific volume of ideal gas is independent of their size or the molar mass of the gas.
Relationships between Boyle's, Charles's, Gay-Lussac's, Avogadro's, combined and ideal gas laws, with the Boltzmann constant kB = R/NA = n R/N (in each law, properties circled are constant and properties not circled are variable)
Derivation from the ideal gas lawEdit
The derivation of Avogadro's law follows directly from the ideal gas law, i.e.
where R is the gas constant, T is the Kelvin temperature, and P is the pressure (in pascals).
Solving for V/n, we thus obtain
Compare that to
which is a constant for a fixed pressure and a fixed temperature.
An equivalent formulation of the ideal gas law can be written using Boltzmann constant kB, as
where N is the number of particles in the gas, and the ratio of R over kB is equal to the Avogadro constant.
In this form, for V/N is a constant, number
If T and P are taken at standard conditions for temperature and pressure (STP), then k′ = 1/n0, where n0 is the Loschmidt constant.
Answer:
Avogadro's law states that "equal volumes of all gases, at the same temperature and pressure, have the same number of molecules."
Formula