OFFSET
2,1
COMMENTS
The solution to 46505268690923380 * x - 1135547732074278753 = 0.
The physical significance of this constant is that 1 mole of ideal gas at 24.41761469... degree Celsius occupies the volume of 24.41761469... liter at the standard atmosphere (101325 pascals).
Fixed point of the ideal gas law: the solution to R * (273.15 + x) * 1000 / 101325 = x, where R = 8.31446261815324 (molar gas constant, the product of Avogadro constant and Boltzmann constant).
To compare it with a real gas using the Beattie-Bridgeman model, a similar constant for air has (experimental) value 24.40655 liter and 24.40655 degree Celsius.
LINKS
Wikipedia, Ideal gas law.
FORMULA
Equals 273.15 * 1000 * R / (101325 - 1000 * R) where R is the constant mentioned above.
EXAMPLE
24.4176146926747713...
MAPLE
evalf(1135547732074278753 / 46505268690923380, 105);
MATHEMATICA
RealDigits[1135547732074278753 / 46505268690923380, 10, 105][[1]]
PROG
(PARI) digits(floor(10^103 * 1135547732074278753 / 46505268690923380))
CROSSREFS
KEYWORD
AUTHOR
Michal Paulovic, Apr 24 2026
STATUS
approved
