A395479 - OEIS

%I #9 May 07 2026 00:05:11

%S 2,4,4,1,7,6,1,4,6,9,2,6,7,4,7,7,1,3,3,9,8,7,2,4,1,4,9,9,4,5,3,8,3,0,

%T 1,8,3,7,3,5,1,3,0,7,2,7,7,2,1,0,4,9,8,5,7,4,2,9,3,2,4,6,8,1,1,6,1,1,

%U 2,9,5,3,4,2,8,6,9,5,5,5,6,7,1,1,1,8,9,7,2,9,4,3,2,8,7,0,0,2,0,6,3,8,4,3,5

%N Decimal expansion of 1135547732074278753 / 46505268690923380.

%C The solution to 46505268690923380 * x - 1135547732074278753 = 0.

%C 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).

%C 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).

%C 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.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Ideal_gas_law">Ideal gas law</a>.

%F Equals 273.15 * 1000 * R / (101325 - 1000 * R) where R is the constant mentioned above.

%e 24.4176146926747713...

%p evalf(1135547732074278753 / 46505268690923380, 105);

%t RealDigits[1135547732074278753 / 46505268690923380, 10, 105][[1]]

%o (PARI) digits(floor(10^103 * 1135547732074278753 / 46505268690923380))

%Y Cf. A070063, A070064, A213611, A322578, A356381.

%K nonn,cons,easy

%O 2,1

%A _Michal Paulovic_, Apr 24 2026