Ideal gas law Totally Explained

Everything about Ideal Gas Equation totally explained

The ideal gas law is the equation of state of a hypothetical ideal gas, first stated by Benoît Paul Émile Clapeyron in 1834. ť The state of an amount of gas is determined by its pressure, volume, and temperature according to the equation:

PV = nRT

where ť

P

is the absolute pressure of the gas,

V

is the volume of the gas, ť

n

is the number of moles of gas,

R

is the universal gas constant, ť

T

is the absolute temperature.

The value of the ideal gas constant, R, is found to be as follows. ť T = nRT,, where n=N/N_A is the number of moles of gas and R=N_Ak_B is the gas constant.
The readers are referred to the comprehensive article Configuration integral (statistical mechanics)

where an alternative statistical mechanics derivation of the ideal-gas law, using the relationship between the Helmholtz free energy and the partition function, but without using the equipartition theorem, is provided.

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