The Avogadro Constant And The Epoxy Putty (2018)
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edit: fwiw in recent experience with 1:1s there's not much of a difference between equal weights/volumes but it could made a large difference on industrial scales
1: https://www.westsystem.com/the-105-system/metering-pumps/300...
Some manufacturers/suppliers provide volumes and weights for proper mixing. For example, West System instructs mixing 1 quart/2.4 lb of their "105" resin with .43 pint/.47 lb of "205" hardener. (Ratios: by volume: ~4.6, by weight: ~5.1) Of course the savvy user can mix smaller/larger quantities proportionately.
In some cases measurement by weight isn't mentioned by the producer. However it can be inferred from product density. The info is usually given in the product's SDS. The "205" hardener SDS states it weighs 8.85 lb/gal, whereas "105" resin is 9.6 lb/gal. With this info on hand, it's straightforward to compute the required quantities of the components.
Manufacturer of epoxies explicitly advise not to alter the mix ratios. IMO measuring by weight is the easy way to mix epoxy accurately.
it's easy and cheap to get an electronic strain-gauge balance that measures weights to ±0.05%, though weighing things out that precisely is quite challenging, especially if they are viscous liquids. (note that the rounding error in the densities you give is probably ±½%)
but measuring small amounts of viscous liquids by volume i think you'll probably get errors more like ±10%
powders, like for cooking or for resin fillers, are even less precise to measure by volume
The "error tolerance" in mixing epoxy is probably at least 1% so inexpensive scales are quite adequate. The "secret" to mixing epoxy is measuring the resin and hardener in separate containers, then combining by pouring the hardener into the resin. I also put some of the mixture back into the container used to measure the hardener, mix thoroughly and add it to the main portion of mixed epoxy. This procedure assures all of the hardener is mixed with all of the resin.
BTW I use my kitchen scale every day. As you say, measuring powders, like flour, by volume isn't reliable. Then again, liquids, even water, are easier to weigh out. Besides, measuring cups aren't very accurate. Then again being only as precise as necessary for the job is what efficiency is about.
Source: I mixed up about 20 gallons of various brands/ratios last year.
The point is that we can measure the weight of atomic-scale objects very accurately in Daltons (1/12 the mass of a Carbon atom).
The weight of macroscopic objects can be measured very accurately in kilograms.
Avogadro's constant is the conversion factor between Daltons and grams, and currently we can't measure it as accurately.
So if you have an accurate weight measurement in kilograms, then you can lose significant accuracy by expressing the same weight in Daltons. Same for the other way around.
edit:
Huh, I did not know about the 2019 redefinition of Avogadro's constant, so this analysis might not stand:
https://en.wikipedia.org/wiki/Avogadro_constant#SI_redefinit...
Or at least there is still a conversion factor between atomic weight unit (Da or u) and grams, it's just no longer the Avogadro's constant?
edit2:
Hmm, interesting:
> In 2019, four of the seven SI base units specified in the International System of Quantities were redefined in terms of natural physical constants, rather than human artifacts such as the standard kilogram.[1][2] Effective 20 May 2019, the 144th anniversary of the Metre Convention, the kilogram, ampere, kelvin, and mole are now defined by setting exact numerical values, when expressed in SI units, for the Planck constant (h), the elementary electric charge (e), the Boltzmann constant (kB), and the Avogadro constant (NA), respectively.
Anyway, accuracy was a major concern for retiring the old kg standard. This effectively means that now in SI macroscopic weight measured in kg has one-to-one correspondence to measurement in atomic weight units. But this development was quite recent.
https://en.wikipedia.org/wiki/2019_redefinition_of_the_SI_ba...
i think it's good to be specific about what you mean by 'very accurately' though; maybe i misunderstand but i think the uncertainty of measurement is about 10⁻¹⁰ in all three cases
if we were designing the metric system today instead of in 01795 we would probably define the unit of mass as something like 10²⁴ atoms of silicon-28 (about 47 grams)
No, I was wrong about that. It's still the ratio, but now this ratio is defined as an exact number. Basically grams defined in terms of daltons.
but all in all it's very confusing