B So what is the new definition of the kilogram?

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The kilogram is now defined by fixing the numerical value of Planck's constant at 6.62607015 × 10^-34 J s, transitioning from a physical prototype to a definition based on universal constants. This change aims to eliminate issues related to the degradation of physical standards, ensuring greater precision in mass measurement. The speed of light remains defined as exactly 299,792,458 meters per second, and the second continues to be based on the cesium hyperfine transition. While some express concern over the shift from empirical to defined standards, proponents argue that this approach enhances clarity and consistency in measurement. Overall, the new definition represents a significant evolution in metrology, aligning with modern scientific understanding.
  • #61
Dale said:
Avogadro’s number is now exact.

GuyBarry said:
is that the Avogadro constant is unconnected with the definition of the kilogram

Right, like "a dozen" means twelve of anything. Twelve apples, twelve dwarves, twelve eggs. Avogadro's number is a super-jumbo sized "dozen."

By the way, I worked with an older guy who routinely said "six times ten to the 23; Ava Gardner's number" with a straight face.
 
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  • #62
gmax137 said:
Right, like "a dozen" means twelve of anything. Twelve apples, twelve dwarves, twelve eggs. Avogadro's number is a super-jumbo sized "dozen."

You've got it exactly. The Avogadro constant is expressed in the units mol-1. You might as well define "dozen" as an SI unit (symbol "doz") and specify the "dozenal constant" as 1.2 x 101 doz-1.

Not really a "unit" in the sense that it's otherwise understood - just a gigantic multiplier.
 
  • #63
I went over to https://www.bipm.org/en/measurement-units/rev-si/ and I found https://www.bipm.org/utils/en/pdf/si-revised-brochure/Draft-SI-Brochure-2018.pdf (5 February 2018).
The previous definition of the mole fixed the value of the molar mass of carbon 12, M(12C), to be exactly 0.012 kg/mol. According to the present definition M(12C) is no longer known exactly and must be determined experimentally. The value chosen for NA is such that at the time of adopting the present definition of the mole, M(12C) was equal to 0.012 kg/mol with a relative standard uncertainty of 4.5 × 10−10.
So the atomic mass unit will be redefined as (1 gram) / (Avogadro's number), independent of carbon-12.
 
  • #64
lpetrich said:
I went over to https://www.bipm.org/en/measurement-units/rev-si/ and I found https://www.bipm.org/utils/en/pdf/si-revised-brochure/Draft-SI-Brochure-2018.pdf (5 February 2018).

So the atomic mass unit will be redefined as (1 gram) / (Avogadro's number), independent of carbon-12.

I really don't think that's correct. If you look at the top of page 29 it says "The dalton (Da) and the unified atomic mass unit (u) are alternative names (and symbols) for the same unit, equal to 1/12 of the mass of a free carbon 12 atom, at rest and in its ground state". So the amu is not being redefined.

Under the new definitions, the relative atomic mass of carbon-12 will remain exactly 12. However, the molar mass of carbon-12 will no longer be exactly 0.012 kg/mol. A consequence of this is that the molar mass constant, which was previously defined at exactly 0.001 kg/mol, will now be determined experimentally. It can still be taken as 1 g/mol for practical purposes. From Wikipedia:

Because the new SI definitions include a new definition of the mole through giving the Avogadro constant an exact numerical value, the value of the molar mass constant will no longer have an exactly defined value, assuming that the definition of a dalton (one twelfth of the rest mass of an unbound neutral atom of carbon-12 in its nuclear and electronic ground state) does not change. Therefore, while still retaining with great accuracy a value of 1 g/mol, the molar mass constant will no longer be exactly defined at that value.

https://en.wikipedia.org/wiki/Molar_mass_constant
 
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