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SG and Temperature Compensation

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density needs to be more widely interesting
Why, exactly? I'm a PhD microbiologist. I know what density is. I know what specific gravity is. I know a lot about yeast biochemistry and genetics. And I also know that there are tons of people out there who brew better beer than I do without knowing any of that.

Sorry, but it's not really clear what the agenda is here. It's not like the hydrometer hasn't been invented yet, and your solution is more difficult, more expensive, and adds basically nothing. It's great that it works well for your specific circumstances, but you must realize that those circumstances are not particularly common.
 
[continued] ... Pick a "taring weight": With it at 16.6°C it's half-way 'tween the blue and green weights; I'll go for blue (13.5°C). This is the same as picking a 56.3°F configured hydrometer:
1705435232168.png


Hit the Tare button (display zeroes) and replace with the sample in the pyknometer:
1705435723018.png

Gaww, I'm a lucky so-so! That says S.G. is 1.040 (shift decimal point left two). One-tenth of a gravity point difference from a true pyknometer reading (recorded in my last post). But before I crow about it too much (it's the first time I've tried it properly) the result should have been about midway 'tween the simulated "blue" output and the simulated "green" output ('cos the actual temperature was between that configured for blue and green). Say 1.0404. Still, I'm not hunting for a two-tenths gravity point error.


Anyway. Back to earth. This is a barmy impractical trick which I've already given up on. You've got the calculations (spreadsheet), so do with it whatever you want! (If you can make money from it, please mention my name as the loony who created it).
 
As long as a musket ball and a cannon-ball continue to drop to the earth from a tower at the same rate, I'll continue with my brain-damaged visual difficulties that sometimes require a magnifying glass, other times a picture taken on my phone and enlarged on a big screen, and all with the confirmation of a person who can stand to be around me, to use my hydrometer.
 
I'll continue with my brain-damaged visual difficulties ...
It's not brain-damage ... it's "brain-injury". We don't use that nasty non-politically-correct phrase anymore. Or do they still on your side of the Atlantic?
 
Why, exactly? I'm a PhD microbiologist. I know what density is. I know what specific gravity is. I know a lot about yeast biochemistry and genetics. And I also know that there are tons of people out there who brew better beer than I do without knowing any of that.

Sorry, but it's not really clear what the agenda is here. It's not like the hydrometer hasn't been invented yet, and your solution is more difficult, more expensive, and adds basically nothing. It's great that it works well for your specific circumstances, but you must realize that those circumstances are not particularly common.
Yes, you're right. I'm letting myself get off-track. I should be concentrating on what this stuff really means and not the way of measuring it. It's the mixing up of what it means that causes the confusions. Thanks (sometimes I need a kick up the backside to keep focused ... did you "get" that cryptic response targetted at you by-the-way ... the one concerning @Broken Crow?).

For example. This from a rather well-known Web-site. It's probably just badly written and putting across the wrong idea, the rest of the article is okay. But it also possibly comes from your academic world and they should have been more careful:

1705491814713.png

"S.G. for liquids is nearly always measured with respect to water at its densest (at 4°C or 39.2°F); ... ". What's water at its densest got to do with it? It would only make sense if the sample was at 4°C too. That's the sort of nonsense I'd like anyone to be able to identify and ignore. Along with "why do I need to worry about temperature and measuring density", "why do hydrometers measure values (S.G.) if it's quite inappropiate to a hydrometer", and the like.

Is that an agenda?



[For anyone else: There's no problem with hydrometers measuring in S.G. ... as long as you've got your temperature compensation tables with you 'cos S.G. isn't doing it for you any longer.]
 
For the sake of us mere mortals (referencing that Wikipedia clip I posted earlier):

Density of water at 4°C ... 0.999973g/ml (Source: https://www. simetric.co.uk/si_water.htm)

Density of water sample at 20°C ... 0.998203g/ml

Therefore: S.G. of water ... 0.998203 / 0.999973 = 0.998229 ... (S.G. = 0.998)

Yeah! :ban: ... Hang on? Isn't the S.G. of water One?


Tiny differences in the numbers, but that's what it's all about! This would be the output of a "density hydrometer" or an SI standard hydrometer (configured as "20°C/4°C"). If the hydrometer was an "ordinary" one, configured as 20°C/20°C (normal for most of the world) the result would have been One!
 
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I've missed a bit! Better record that, although this involves the "Full" version of my spreadsheet and I've already warned that, while displaying the S.G. directly on the weighing scales looks dead clever, it probably requires too much effort to be viable (I'll be sticking to the "Lite" version).

The "Full" version has the "standalone" capacity ... the spreadsheet is only used to calibrate and after that the SG can be read directly from the weighing scales. It only works with 100ml pyknometer bottles (it may work with 10ml bottles, but you will need very accurate, and expensive, weighing scales ... good to three decimal places of a gram, perhaps four!).

The first step is like the "Lite" version: On the "Calibration page fill in the actual (ambient) temperature that the pyknometer bottle and the sample (water) have been standing around in, then fill in the weights of the dry bottle followed by the water filled bottle.
Pyknometer Calculations (FULL) i.jpg

And on the same page the details that will be used to create Tare weights.
Pyknometer Calculations (FULL) ii.jpg

(There are some unusual parameters in this section: There were two ways of dealing with parameters for pyknometers, and I was using a "virtually adapt the bottle" method to start and switched to "actual weights" later. This section wasn't changed from "virtual" 'cos it worked, and I couldn't be bothered changing it: So, it's a bit kooky? ... Put up with it!).

What we are doing here is undoing any advantage the pyknometer has over a hydrometer and force it to operate at certain fixed temperatures. So, first off, we pick three temperatures to represent the temperature range we want to work over. Nothing too extreme, although some pyknometers are made from borosilicate glass (same as used by Pyrex), not for resistance to heat shock but to make the pyknometer dimensionally stable for very precise work (not determining the gravity of beer!). But all the same, I'm not comfortable with putting very hot water in a pyknometer bottle. For this tutorial I've picked 13.5°C, 20.0°C and 26.5°C (20.0°C would be the same temperature as a "standard" hydrometer used in much of the rest of the world).

Each temperature "configuration" has three parameters to control the error displayed in the simulation: A "zero" gravity where there would be no error (SG 1.040 is a good choice), how far either side of that point the error should be calculated (±0.060 seems good) and a minimum gravity to display an error to (1.000?). All temperature configurations may have the same error configuration, or each a different one as you please.

The result is effectively three hydrometers from the same pyknometer ... four if you count the "normal" pyknometer configuration.

The "Simulation" page of the "Full" version allows situations to be tested. It is not required for real time operation as that is all carried out on the weighing scales. But the page does detail the size of "Tare Weights" that will be required.

The example illustrates testing with an imaginary "SG 1.075" wort. The "blue" tare weight (35.30g) is selected as being configured for a temperature closest to the imagined environment. It would induce a negligible 1/10th of a gravity point error in this example.
Pyknometer Calculations (FULL) iii.jpg
 
I'll include this bit as possibly useful too:

The "LITE" version will work with Density as well as Specific Gravity.
Pyknometer Calculations (LITE) ii.jpg

This is using a three-year-old earlier demo using isopropyl alcohol. The Density of 0.786 g/ml confirmed what I had was 99% alcohol. Remember that when working with Density (g/ml) the temperature of the sample is important (no temperature compensation like built into S.G.).

I prefer the Lite version but created the stand-alone "Full" version because people are likely to prefer its stand-alone and with "hydrometer" like workings.

(Google Sheets does not support those Radio Buttons, so in "Sheets" it looks as if nothing has been done!).
 
Someone woke up a very old post today (from 2009). About SG and Plato. One early post in it had:
... Specific gravity relates to (instead of weight of extract) the weight of the whole volume of solution relative to an equal volume of water. So, a 1.060 volume of wort is 6% heavier than the same volume of water. ...

That's a much easier way of thinking about SG! No bothering about "density". No bothering about temperature (that's a "hydrometer" thing, like I've been grizzling about above). Just weight. And we really are trying to measure differences of 0.1%, in weight, of a sample.

Weight of what? Well, you don't know precisely (from SG), but we guess "sugar" makes up the extra weight compared to plain water (and ignore any alcohol that the sugar was converted into). That "guessing" is what makes precise conversions to other measurements of extract so excruciatingly complicated (and doomed to failure). We are fortunate that in the real world we don't need anything like that precision.

It doesn't mean switching from reading an SG scale on a hydrometer to reading a Plato scale ... because the hydrometer can't tell the difference either.
 
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