Hydrometer temperature correction and ABV calculator

This application makes it easy to correct hydrometer readings for temperature and calculate ABV from specific gravity measurements.

It isn't pretty, but it's the fastest way to do these calculations in a mobile or desktop web browser that I'm aware of.

The ABV formula used is accurate for both low and high gravity beverages.

Try it here.

Table of Contents

• Dependencies
• Instructions
• Use case details
• I don't know what any of this means, help
• Math

Dependencies

I wrote this in Elm.

Elm libraries used:

• Handy table stuff: evancz/elm-sortable-table
• Pretty-printing numbers: ggb/numeral-elm

From project root directory:

• Install dependencies: elm-package install
• Build: elm-make src/App.elm --output=app.html

Instructions

This should be pretty intuitive to anyone who has used a hydrometer before. Just fill in the blanks and results will be calculated automatically as you type. When you edit a row, a new row will be added below it automatically, and you can switch to the new row with the tab key. The new row will copy the calibration from the previous row.

The typical flow is like this:

1. enter specific gravity and press tab
2. enter temperature and press tab
3. enter calibration (if it has changed) and press tab
4. enter next specific gravity and press tab
5. ...

Use case details

I typically keep a handwritten table that looks like this in my booze-makin' notebook:

Date	SG	Temperature	Adjusted SG	ABV
2017-05-04	1.080	75F	1.082	0.00%
2017-05-20	1.037	74F	1.039	6.20%
2017-06-04	1.010	76F	1.012	9.79%
2017-06-20	0.994	74F	0.996	11.87%

SG and temperature are measured, adjusted SG and ABV are calculated. There are lots of online calculators and apps that can do these calculations, but they typically only do one at a time, so I have to do the SG adjustment in one, and then put that result into another calculator.

This requires several entire minutes of my time about once a week or so. I could be using those minutes to do something productive, like writing excessively long README files for tiny apps. So I decided to make my own calculator to speed this process up, based on the following requirements:

• I want to be able to quickly enter a series of rows, each containing measured SG and measured temperature.
• Temperature-adjusted SG and ABV should be automatically calculated while the user types.
• The common, happy path should require as few keystrokes as possible, in both desktop and mobile browsers.
  • Other than 1 click/tap to select the first input box, all further input should be possible with the keyboard.
  • If there is a possible trade-off between the efficiency of editing existing data and the efficiency of entering new data, editing efficiency should be sacrificed.
• Hydrometer calibration should be adjustable, but it will rarely need to be modified so it should be filled automatically.
• This is explicitly not for long term storage of data. I prefer pen and paper for that. Therefore:
  • No storage necessary.
  • Dates are not necessary.
• Users already have a lot of domain knowledge and know how the input should look, so input validation errors should be visible and easy to correct, but should not cause interruptions.
• ABV calculation should be accurate for both high and low ABV beverage styles.
• The app should be usable by people other than the author, but this is not a high priority since it's mostly a scratch-my-own-itch project.
• Assumption: all temperature measurements will have the same units. Temperature handling does not need to be sophisticated.
• Beauty is not a priority.

I don't know what any of this means, help

Specific gravity (often shortened to "SG" or simply "gravity") is the ratio of the density of a fluid to the density of a reference (usually water). This is the most common way to measure the progress of alcoholic fermentation. In brewing/wine making the reference is always water.

A hydrometer is a tool that measures specific gravity. Since density changes with temperature, hydrometers are calibrated at a particular temperature, and readings taken at different temperatures must be adjusted mathematically to estimate the true SG.

The following facts allow us to estimate the amount of ethanol produced by fermentation based on the change in specific gravity over time:

• Solutions of sugar in water are denser than water alone
• Solutions of ethanol in water are less dense than water alone
• Every alcoholic fermentation (whether you're making beer, wine, fuel, or moonshine) starts with a solution of sugar in water.
• Yeast convert sugar into ethanol and CO2 during fermentation

(There are other chemicals present (eg salts, acids, small amounts of methanol and other alcohols), but the solution is dominated by sugar, ethanol, and water.)

Typically, we will take an initial SG measurement before pitching yeast, and then take additional measurements periodically as fermentation progresses. If SG is stable for a long period of time, fermentation has stopped. If it stops at a low SG, then the beverage is done fermenting and is ready to age or serve. If it stops at a high SG, then fermentation is "stuck" and we will have to try to restart it by adjusting temperature, adding nutrients, or adding water.

The first gravity reading taken is called the original gravity, or OG.

The last gravity reading is called the final gravity, or FG.

Math

Temperature correction

mg: measured gravity

mt: measured temperature

hc: hydrometer calibration temperature

Corrected specific gravity = mg * ((1.00130346 - 0.000134722124 * mt + 0.00000204052596 * mt^2 - 0.00000000232820948 * mt^3) / (1.00130346 - 0.000134722124 * hc + 0.00000204052596 * hc^2 - 0.00000000232820948 * hc^3))

Source

Alcohol by volume

ABV = (76.08 * (OG - FG) / (1.775 - OG)) * (FG / 0.794)

Note that this equation returns 50 for 50%, 100 for 100%, etc. (instead of 0.5 for 50%, 1.0 for 100%, as you might expect)

Source