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The gas constant occurs in the ideal gas law: = = where P is the absolute pressure, V is the volume of gas, n is the amount of substance, m is the mass, and T is the thermodynamic temperature. R specific is the mass-specific gas constant. The gas constant is expressed in the same unit as molar heat.
molar Planck constant 3.990 312 712 893 4314 × 10 −10 J⋅s⋅mol −1: 0 [52] = molar mass of carbon-12: 12.000 000 0126 (37) × 10 −3 kg⋅mol −1: 3.1 × 10 −10 [53] = / atomic mass constant: 1.660 539 068 92 (52) × 10 −27 kg
R is the gas constant, which must be expressed in units consistent with those chosen for pressure, volume and temperature. For example, in SI units R = 8.3145 J⋅K −1 ⋅mol −1 when pressure is expressed in pascals, volume in cubic meters, and absolute temperature in kelvin. The ideal gas law is an extension of experimentally discovered ...
u r (r p) = 7.4 × 10 −4 [90] R: molar gas constant: R = 8.314 462 618... J⋅mol −1 ⋅K −1: u r (R) = 0 [91] Rinf: Rydberg constant: R ∞ = 10 973 731.568 157 (12) m −1: u r (R ∞) = 1.1 × 10 −12 [92] Rinfc: Rydberg frequency: R ∞ c = 3.289 841 960 2500 (36) × 10 15 Hz: u r (R ∞ c) = 1.1 × 10 −12 [93 ...
Isotherms of an ideal gas for different temperatures. The curved lines are rectangular hyperbolae of the form y = a/x. They represent the relationship between pressure (on the vertical axis) and volume (on the horizontal axis) for an ideal gas at different temperatures: lines that are farther away from the origin (that is, lines that are nearer to the top right-hand corner of the diagram ...
where P is the pressure, V is volume, n is the number of moles, R is the universal gas constant and T is the absolute temperature. The proportionality constant, now named R, is the universal gas constant with a value of 8.3144598 (kPa∙L)/(mol∙K). An equivalent formulation of this law is: =
The ideal gas law can be re-arranged to obtain a relation between the density and the molar mass of an ideal gas: = and = and thus: = where: P = absolute gas pressure; V = gas volume; n = amount (measured in moles) R = universal ideal gas law constant; T = absolute gas temperature; ρ = gas density at T and P; m = mass of gas
where R is the ideal gas constant, about 8.31446 J⋅K −1 ⋅mol −1 (which is the product of the Boltzmann constant k B and the Avogadro constant). And, indeed, the experimental values of c V ,m for the noble gases helium , neon , argon , krypton , and xenon (at 1 atm and 25 °C) are all 12.5 J⋅K −1 ⋅mol −1 , which is 3 / 2 ...