Tabel de Corectie Pentru Alcoolmetru

Correction Table for an Alcoholometer Calibrated at 20oC

1

An alcoholometer is a device that measures theconcentration of ethanol in a water-ethanolmixture (often in units of %abv percent alcoholby volume). The depth to which analcoholometer sinks in a water-ethanol mixture isrelated to the mass density of the mixture, but thedevice is calibrated to indicate the concentrationof ethanol at some fixed temperature. Thedensity of a water-ethanol mixture varies withthe temperature as well as the concentration ofethanol; therefore, a correction table is requiredif one wants to measure the concentration ofethanol at a temperature other than the one atwhich the alcoholometer was calibrated.

Here is a brief description of how, based on datatables, I calculated a correction table for analcoholometer calibrated at 20oC (oC degreesCelsius). One data table relates theconcentration of ethanol in %abv (0 to 100 insteps of 1) to the density in g/cm3 (to 4 decimalplaces) for a temperature of 20oC. [1] I fit 6thdegree polynomials to obtain both the density asa function of concentration and the concentrationas a function of density. A second data tableshows how the volume of a water-ethanolmixture changes with temperature in oC (0 to 50in steps of 5) and the concentration of ethanol in%abv (0 to 100 in 17 uneven steps).[2] Ilinearized the data in the second data table to"fill in the gaps" and show the fractional volumechange for temperature in oC (0 to 50 in steps of1) and the concentration of ethanol in %abv (0 to100 in steps of 1). For each mixture temperaturein oC (i.e., 0 to 50 in steps of 1), each ethanolconcentration - in %abv and corrected to 20oC -(i.e., 0 to 100 in steps of 1) was converted to acorresponding density at 20oC. Next, the densityof each concentration was volume corrected toreflect the actual mixture temperature, on thebasis that the density varies inversely with thefractional volume change. Then, this correcteddensity was converted back to the ethanolconcentration that would be measured with thedevice. Note that I have ignored temperatureeffects on the alcoholometer material.

How to use the correction table:

The correction table can be used as follows:under the column corresponding to the mixturetemperature, find the measured value of theethanol concentration and read the actualconcentration in %abv in the left column of thesame row.

Some definitions and equations used in thecalculation of the correction table:

C is the ethanol concentration in %abvat 20oC,

is the mass density of the water-ethanolmixture at 20oC with an ethanolconcentration C,

CM is the measured ethanol concentration in%abv at temperature T,

M is the mass density of the water-ethanolmixture at temperature T with ameasured ethanol concentration CM,

is the fractional change in volume of thewater-ethanol mixture at temperature Tand an ethanol concentration C at 20oC,

1) Begin with a matrix Ci,j where j is the indexof temperature T (i.e., columns correspondto temperature in oC from 0 to 50 in steps of1) and i is the index of concentration (i.e.,rows correspond to ethanol concentration in%abv at 20oC from 0 to 100 in steps of 1).Note that each column vector in this matrixis equal.

2) The matrix i,j is found by the function =(Ci,j) obtained by a 6th order polynomial fitof tabular data gained from experiment.

3) The density matrix Mi,j at temperature T canbe predicted by Mi,j = i,j /(1 + i,j), where was obtained by the linearization ofexperimental data over the range of interest.See the derivation below.

= M = m (1/VM 1/V) = m (V - VM) /(VVM),

note that VM = (1 + ) V,so then = (m/V) /(1 + ) = /(1 + ),and therefore M = /(1 + ) = /(1 + ).

Note that densities outside of the range of are ignored.

4) The matrix CMi,j is found by the function C =C(Mi,j) that is the inverse of the densityfunction mentioned in step 2. Note that anyconcentrations outside of the range of Ci,j areignored.

5) The comparison of Ci,0 and CMi,j comprisesthe alcoholometer correction table.

Many thanks to Mr. Zwick for supplying mewith the data tables.

[1] Table 3, Tanner & Brunner, "fruit obstbrennerei today",Heller Schwabisch Hall (ISBN 3-9800 498-0-9)

[2] Table 5, ibid.

Draft 1 by Geoff Redman


2

Actual C (%abv)\T (oC) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 250 0.0 0.2 0.3 0.5 0.7 0.81 0.5 0.6 0.7 0.9 1.0 1.2 1.4 1.5 1.7 1.92 0.7 0.7 0.7 0.7 0.7 0.7 0.7 0.8 0.8 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.9 2.0 2.2 2.4 2.5 2.7 2.93 1.6 1.6 1.6 1.6 1.6 1.6 1.6 1.7 1.7 1.8 1.8 1.9 2.0 2.1 2.2 2.3 2.5 2.6 2.7 2.9 3.0 3.2 3.4 3.6 3.8 3.94 2.5 2.5 2.5 2.5 2.5 2.5 2.6 2.6 2.7 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.5 3.6 3.7 3.9 4.0 4.2 4.4 4.6 4.8 5.05 3.5 3.5 3.5 3.5 3.5 3.4 3.5 3.6 3.6 3.7 3.7 3.9 4.0 4.1 4.2 4.3 4.5 4.6 4.7 4.9 5.0 5.2 5.4 5.6 5.8 6.06 4.4 4.4 4.4 4.4 4.4 4.4 4.4 4.5 4.6 4.6 4.7 4.8 5.0 5.1 5.2 5.3 5.5 5.6 5.7 5.9 6.0 6.2 6.4 6.6 6.8 7.07 5.2 5.2 5.2 5.2 5.2 5.3 5.3 5.4 5.5 5.5 5.6 5.8 5.9 6.0 6.2 6.3 6.4 6.6 6.7 6.9 7.0 7.2 7.4 7.6 7.8 8.08 6.1 6.1 6.1 6.1 6.1 6.1 6.2 6.3 6.4 6.4 6.5 6.7 6.8 6.9 7.1 7.2 7.4 7.5 7.7 7.8 8.0 8.2 8.4 8.6 8.9 9.19 6.9 6.9 6.9 6.9 6.9 6.9 7.0 7.1 7.2 7.3 7.4 7.6 7.7 7.9 8.0 8.1 8.3 8.5 8.7 8.8 9.0 9.2 9.5 9.7 9.9 10.1

10 7.7 7.7 7.7 7.7 7.8 7.8 7.9 8.0 8.1 8.2 8.3 8.5 8.6 8.8 8.9 9.1 9.2 9.4 9.6 9.8 10.0 10.2 10.5 10.7 10.9 11.211 8.5 8.5 8.6 8.6 8.6 8.6 8.8 8.9 9.0 9.1 9.2 9.4 9.5 9.7 9.8 10.0 10.2 10.4 10.6 10.8 11.0 11.2 11.5 11.7 12.0 12.212 9.3 9.4 9.4 9.4 9.5 9.5 9.6 9.7 9.9 10.0 10.1 10.3 10.5 10.6 10.8 10.9 11.1 11.3 11.6 11.8 12.0 12.3 12.5 12.8 13.0 13.313 10.1 10.2 10.2 10.2 10.3 10.3 10.5 10.6 10.8 10.9 11.0 11.2 11.4 11.5 11.7 11.8 12.1 12.3 12.5 12.8 13.0 13.3 13.5 13.8 14.1 14.314 10.9 10.9 11.0 11.1 11.1 11.2 11.3 11.5 11.6 11.8 11.9 12.1 12.3 12.4 12.6 12.8 13.0 13.3 13.5 13.8 14.0 14.3 14.6 14.8 15.1 15.415 11.6 11.7 11.8 11.9 11.9 12.0 12.2 12.3 12.5 12.7 12.8 13.0 13.2 13.4 13.6 13.7 14.0 14.2 14.5 14.7 15.0 15.3 15.6 15.9 16.2 16.516 12.4 12.5 12.6 12.7 12.8 12.9 13.0 13.2 13.4 13.5 13.7 13.9 14.1 14.3 14.5 14.7 14.9 15.2 15.5 15.7 16.0 16.3 16.6 16.9 17.2 17.517 13.2 13.3 13.4 13.5 13.6 13.7 13.9 14.1 14.3 14.4 14.6 14.8 15.0 15.2 15.4 15.6 15.9 16.2 16.5 16.7 17.0 17.3 17.6 18.0 18.3 18.618 13.9 14.1 14.2 14.3 14.4 14.6 14.8 14.9 15.1 15.3 15.5 15.7 15.9 16.1 16.4 16.6 16.9 17.2 17.4 17.7 18.0 18.3 18.7 19.0 19.3 19.719 14.7 14.8 15.0 15.1 15.3 15.4 15.6 15.8 16.0 16.2 16.4 16.6 16.8 17.1 17.3 17.5 17.8 18.1 18.4 18.7 19.0 19.3 19.7 20.0 20.4 20.720 15.4 15.5 15.7 15.9 16.0 16.2 16.4 16.6 16.8 17.0 17.3 17.5 17.7 18.0 18.2 18.5 18.8 19.1 19.4 19.7 20.0 20.3 20.7 21.0 21.4 21.721 16.1 16.2 16.4 16.6 16.8 17.0 17.2 17.4 17.7 17.9 18.1 18.4 18.6 18.9 19.1 19.4 19.7 20.0 20.4 20.7 21.0 21.4 21.7 22.1 22.4 22.822 16.7 17.0 17.2 17.4 17.6 17.8 18.0 18.3 18.5 18.8 19.0 19.3 19.5 19.8 20.1 20.3 20.7 21.0 21.3 21.7 22.0 22.4 22.7 23.1 23.4 23.823 17.4 17.7 17.9 18.1 18.3 18.6 18.8 19.1 19.4 19.6 19.9 20.2 20.4 20.7 21.0 21.3 21.6 22.0 22.3 22.7 23.0 23.4 23.7 24.1 24.5 24.824 18.2 18.4 18.6 18.9 19.1 19.4 19.7 19.9 20.2 20.5 20.8 21.1 21.4 21.6 21.9 22.2 22.6 22.9 23.3 23.6 24.0 24.4 24.7 25.1 25.5 25.825 18.9 19.1 19.4 19.7 19.9 20.2 20.5 20.8 21.1 21.4 21.6 22.0 22.3 22.6 22.9 23.2 23.6 23.9 24.3 24.6 25.0 25.4 25.8 26.1 26.5 26.926 19.6 19.9 20.2 20.4 20.7 21.0 21.3 21.6 21.9 22.2 22.5 22.8 23.2 23.5 23.8 24.2 24.5 24.9 25.3 25.6 26.0 26.4 26.8 27.2 27.6 28.027 20.3 20.6 20.9 21.2 21.5 21.8 22.2 22.5 22.8 23.1 23.4 23.7 24.1 24.4 24.8 25.1 25.5 25.9 26.3 26.6 27.0 27.4 27.8 28.2 28.6 29.128 21.1 21.4 21.7 22.0 22.4 22.7 23.0 23.3 23.6 24.0 24.3 24.7 25.0 25.4 25.8 26.1 26.5 26.9 27.3 27.6 28.0 28.4 28.9 29.3 29.7 30.129 21.8 22.2 22.5 22.9 23.2 23.5 23.9 24.2 24.5 24.8 25.2 25.6 25.9 26.3 26.7 27.1 27.5 27.9 28.2 28.6 29.0 29.4 29.9 30.3 30.8 31.230 22.6 23.0 23.3 23.7 24.0 24.4 24.7 25.1 25.4 25.7 26.1 26.5 26.9 27.3 27.7 28.1 28.5 28.9 29.2 29.6 30.0 30.5 30.9 31.4 31.8 32.331 23.4 23.7 24.1 24.5 24.8 25.2 25.6 25.9 26.3 26.6 27.0 27.4 27.8 28.2 28.6 29.0 29.4 29.8 30.2 30.6 31.0 31.5 31.9 32.4 32.8 33.332 24.1 24.5 24.9 25.3 25.6 26.0 26.4 26.8 27.1 27.5 27.9 28.3 28.7 29.2 29.6 30.0 30.4 30.8 31.2 31.6 32.0 32.5 32.9 33.4 33.8 34.333 24.9 25.3 25.7 26.1 26.5 26.9 27.2 27.6 28.0 28.4 28.8 29.2 29.7 30.1 30.5 31.0 31.4 31.8 32.2 32.6 33.0 33.5 33.9 34.4 34.8 35.334 25.7 26.1 26.5 26.9 27.3 27.7 28.1 28.5 28.9 29.3 29.7 30.2 30.6 31.0 31.5 31.9 32.3 32.8 33.2 33.6 34.0 34.5 34.9 35.4 35.8 36.335 26.5 26.9 27.3 27.7 28.1 28.5 29.0 29.4 29.8 30.2 30.6 31.1 31.5 32.0 32.4 32.9 33.3 33.7 34.2 34.6 35.0 35.5 35.9 36.4 36.8 37.336 27.3 27.7 28.1 28.6 29.0 29.4 29.8 30.3 30.7 31.1 31.6 32.0 32.5 32.9 33.4 33.8 34.3 34.7 35.1 35.6 36.0 36.5 36.9 37.4 37.8 38.337 28.2 28.6 29.1 29.5 29.9 30.3 30.8 31.2 31.7 32.1 32.6 33.0 33.5 33.9 34.4 34.8 35.3 35.7 36.1 36.6 37.0 37.5 37.9 38.4 38.8 39.338 29.1 29.6 30.0 30.4 30.9 31.3 31.7 32.2 32.7 33.1 33.5 34.0 34.5 34.9 35.4 35.8 36.3 36.7 37.1 37.6 38.0 38.5 38.9 39.3 39.8 40.239 30.1 30.5 31.0 31.4 31.8 32.3 32.7 33.2 33.6 34.1 34.5 35.0 35.5 35.9 36.4 36.8 37.3 37.7 38.1 38.6 39.0 39.4 39.9 40.3 40.8 41.240 31.1 31.5 31.9 32.4 32.8 33.2 33.7 34.2 34.6 35.1 35.5 36.0 36.5 36.9 37.4 37.8 38.3 38.7 39.1 39.6 40.0 40.4 40.9 41.3 41.7 42.241 32.0 32.5 32.9 33.4 33.8 34.2 34.7 35.2 35.6 36.1 36.6 37.0 37.5 37.9 38.4 38.8 39.3 39.7 40.1 40.6 41.0 41.4 41.9 42.3 42.7 43.142 33.0 33.5 33.9 34.4 34.8 35.2 35.7 36.2 36.6 37.1 37.6 38.0 38.5 38.9 39.4 39.8 40.3 40.7 41.1 41.6 42.0 42.4 42.9 43.3 43.7 44.143 34.0 34.4 34.9 35.3 35.8 36.2 36.7 37.2 37.6 38.1 38.5 39.0 39.5 39.9 40.4 40.8 41.3 41.7 42.1 42.6 43.0 43.4 43.8 44.3 44.7 45.144 35.0 35.5 35.9 36.4 36.8 37.2 37.7 38.2 38.6 39.1 39.5 40.0 40.5 40.9 41.4 41.8 42.3 42.7 43.1 43.6 44.0 44.4 44.8 45.2 45.7 46.145 36.0 36.5 36.9 37.4 37.8 38.2 38.7 39.2 39.6 40.1 40.5 41.0 41.5 41.9 42.4 42.8 43.3 43.7 44.1 44.6 45.0 45.4 45.8 46.2 46.6 47.046 37.0 37.5 37.9 38.4 38.8 39.3 39.7 40.2 40.6 41.1 41.5 42.0 42.5 42.9 43.4 43.8 44.3 44.7 45.1 45.6 46.0 46.4 46.8 47.2 47.6 48.047 38.1 38.5 39.0 39.4 39.8 40.3 40.7 41.2 41.6 42.1 42.5 43.0 43.5 43.9 44.4 44.8 45.3 45.7 46.1 46.6 47.0 47.4 47.8 48.2 48.6 49.048 39.2 39.6 40.1 40.5 41.0 41.4 41.8 42.3 42.7 43.2 43.6 44.0 44.5 45.0 45.4 45.8 46.3 46.7 47.2 47.6 48.0 48.4 48.8 49.2 49.6 50.049 40.3 40.8 41.2 41.7 42.1 42.5 43.0 43.4 43.8 44.3 44.7 45.1 45.6 46.0 46.5 46.9 47.3 47.7 48.2 48.6 49.0 49.4 49.8 50.2 50.6 50.950 41.5 41.9 42.4 42.8 43.2 43.7 44.1 44.5 44.9 45.4 45.8 46.2 46.7 47.1 47.5 47.9 48.4 48.8 49.2 49.6 50.0 50.4 50.8 51.2 51.5 51.9

page 1 of 4 - Correction table for an alcoholometer calibrated at 20oC (under column corresponding to mixture temperature, find measuredvalue of ethanol concentration in %abv and read the actual concentration in the left column of the same row)


3

Actual C (%abv)\T (oC) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 2551 42.6 43.1 43.5 44.0 44.4 44.8 45.2 45.6 46.1 46.5 46.9 47.3 47.7 48.1 48.6 49.0 49.4 49.8 50.2 50.6 51.0 51.4 51.8 52.2 52.5 52.952 43.8 44.2 44.7 45.1 45.5 45.9 46.4 46.8 47.2 47.6 48.0 48.4 48.8 49.2 49.6 50.0 50.4 50.8 51.2 51.6 52.0 52.4 52.8 53.1 53.5 53.953 44.9 45.4 45.8 46.2 46.6 47.1 47.5 47.9 48.3 48.6 49.0 49.4 49.9 50.3 50.7 51.1 51.5 51.9 52.2 52.6 53.0 53.4 53.8 54.1 54.5 54.954 46.1 46.5 46.9 47.3 47.7 48.1 48.5 48.9 49.3 49.7 50.1 50.5 50.9 51.3 51.7 52.1 52.5 52.9 53.2 53.6 54.0 54.4 54.7 55.1 55.5 55.855 47.2 47.6 48.0 48.4 48.8 49.2 49.6 50.0 50.4 50.8 51.1 51.5 51.9 52.3 52.7 53.1 53.5 53.9 54.2 54.6 55.0 55.4 55.7 56.1 56.4 56.856 48.3 48.7 49.1 49.5 49.9 50.3 50.7 51.1 51.4 51.8 52.2 52.6 53.0 53.3 53.7 54.1 54.5 54.9 55.3 55.6 56.0 56.4 56.7 57.1 57.4 57.857 49.4 49.8 50.2 50.6 51.0 51.4 51.8 52.1 52.5 52.8 53.2 53.6 54.0 54.4 54.7 55.1 55.5 55.9 56.3 56.6 57.0 57.4 57.7 58.1 58.4 58.758 50.5 50.9 51.3 51.7 52.1 52.5 52.8 53.2 53.5 53.9 54.2 54.6 55.0 55.4 55.8 56.1 56.5 56.9 57.3 57.6 58.0 58.3 58.7 59.0 59.4 59.759 51.7 52.1 52.4 52.8 53.2 53.6 53.9 54.3 54.6 55.0 55.3 55.7 56.1 56.4 56.8 57.2 57.5 57.9 58.3 58.6 59.0 59.3 59.7 60.0 60.4 60.760 52.8 53.2 53.6 53.9 54.3 54.7 55.0 55.4 55.7 56.1 56.4 56.8 57.1 57.5 57.9 58.2 58.6 58.9 59.3 59.6 60.0 60.3 60.7 61.0 61.4 61.761 53.9 54.3 54.7 55.1 55.4 55.8 56.1 56.5 56.8 57.1 57.4 57.8 58.2 58.5 58.9 59.3 59.6 60.0 60.3 60.7 61.0 61.3 61.7 62.0 62.4 62.762 55.1 55.4 55.8 56.2 56.5 56.9 57.2 57.5 57.9 58.2 58.5 58.9 59.2 59.6 59.9 60.3 60.6 61.0 61.3 61.7 62.0 62.3 62.7 63.0 63.4 63.763 56.2 56.5 56.9 57.2 57.6 57.9 58.3 58.6 58.9 59.2 59.5 59.9 60.3 60.6 61.0 61.3 61.7 62.0 62.3 62.7 63.0 63.3 63.7 64.0 64.3 64.764 57.2 57.6 57.9 58.3 58.6 59.0 59.3 59.6 59.9 60.3 60.6 60.9 61.3 61.6 62.0 62.3 62.7 63.0 63.3 63.7 64.0 64.3 64.7 65.0 65.3 65.765 58.2 58.6 58.9 59.3 59.6 60.0 60.3 60.6 61.0 61.3 61.6 62.0 62.3 62.7 63.0 63.3 63.7 64.0 64.3 64.7 65.0 65.3 65.7 66.0 66.3 66.766 59.3 59.6 60.0 60.3 60.7 61.0 61.3 61.7 62.0 62.3 62.6 63.0 63.3 63.7 64.0 64.3 64.7 65.0 65.3 65.7 66.0 66.3 66.7 67.0 67.4 67.767 60.3 60.6 61.0 61.3 61.7 62.0 62.3 62.7 63.0 63.3 63.7 64.0 64.3 64.7 65.0 65.3 65.7 66.0 66.3 66.7 67.0 67.3 67.7 68.0 68.4 68.768 61.3 61.6 62.0 62.3 62.7 63.0 63.3 63.7 64.0 64.3 64.7 65.0 65.4 65.7 66.0 66.4 66.7 67.0 67.3 67.7 68.0 68.3 68.7 69.0 69.4 69.769 62.3 62.7 63.0 63.3 63.7 64.0 64.4 64.7 65.0 65.4 65.7 66.0 66.4 66.7 67.0 67.4 67.7 68.0 68.3 68.7 69.0 69.3 69.7 70.0 70.4 70.770 63.3 63.7 64.0 64.4 64.7 65.0 65.4 65.7 66.0 66.4 66.7 67.0 67.4 67.7 68.0 68.4 68.7 69.0 69.3 69.7 70.0 70.3 70.7 71.0 71.4 71.771 64.3 64.7 65.0 65.4 65.7 66.0 66.4 66.7 67.0 67.4 67.7 68.0 68.4 68.7 69.0 69.4 69.7 70.0 70.3 70.7 71.0 71.3 71.7 72.0 72.4 72.772 65.4 65.7 66.0 66.4 66.7 67.0 67.4 67.7 68.0 68.4 68.7 69.0 69.4 69.7 70.0 70.4 70.7 71.0 71.3 71.7 72.0 72.3 72.7 73.0 73.4 73.773 66.4 66.7 67.0 67.4 67.7 68.0 68.4 68.7 69.0 69.4 69.7 70.0 70.3 70.7 71.0 71.3 71.7 72.0 72.3 72.7 73.0 73.3 73.7 74.0 74.4 74.774 67.3 67.7 68.0 68.4 68.7 69.0 69.4 69.7 70.0 70.3 70.7 71.0 71.3 71.7 72.0 72.3 72.7 73.0 73.3 73.7 74.0 74.4 74.7 75.0 75.4 75.775 68.3 68.7 69.0 69.4 69.7 70.0 70.4 70.7 71.0 71.3 71.7 72.0 72.3 72.7 73.0 73.3 73.7 74.0 74.3 74.7 75.0 75.4 75.7 76.1 76.4 76.776 69.3 69.7 70.0 70.4 70.7 71.0 71.4 71.7 72.0 72.3 72.7 73.0 73.3 73.7 74.0 74.3 74.7 75.0 75.3 75.7 76.0 76.4 76.7 77.1 77.4 77.777 70.3 70.7 71.0 71.4 71.7 72.0 72.4 72.7 73.0 73.3 73.7 74.0 74.3 74.7 75.0 75.3 75.7 76.0 76.3 76.7 77.0 77.4 77.7 78.1 78.4 78.778 71.3 71.7 72.0 72.3 72.7 73.0 73.3 73.7 74.0 74.3 74.6 75.0 75.3 75.7 76.0 76.3 76.7 77.0 77.3 77.7 78.0 78.3 78.7 79.0 79.4 79.779 72.3 72.7 73.0 73.3 73.7 74.0 74.3 74.7 75.0 75.3 75.6 76.0 76.3 76.7 77.0 77.3 77.7 78.0 78.3 78.7 79.0 79.3 79.7 80.0 80.4 80.780 73.3 73.7 74.0 74.3 74.7 75.0 75.4 75.7 76.0 76.3 76.6 77.0 77.3 77.7 78.0 78.3 78.7 79.0 79.3 79.7 80.0 80.3 80.7 81.0 81.3 81.781 74.3 74.7 75.0 75.4 75.7 76.0 76.4 76.7 77.0 77.3 77.6 78.0 78.3 78.7 79.0 79.3 79.7 80.0 80.3 80.7 81.0 81.3 81.7 82.0 82.3 82.682 75.4 75.7 76.1 76.4 76.7 77.1 77.4 77.7 78.0 78.3 78.7 79.0 79.3 79.7 80.0 80.3 80.7 81.0 81.3 81.7 82.0 82.3 82.7 83.0 83.3 83.683 76.4 76.8 77.1 77.4 77.8 78.1 78.4 78.8 79.1 79.4 79.7 80.0 80.4 80.7 81.0 81.4 81.7 82.0 82.4 82.7 83.0 83.3 83.6 83.9 84.3 84.684 77.5 77.8 78.2 78.5 78.8 79.2 79.5 79.8 80.1 80.4 80.7 81.1 81.4 81.7 82.1 82.4 82.7 83.0 83.4 83.7 84.0 84.3 84.6 84.9 85.2 85.585 78.6 78.9 79.3 79.6 79.9 80.2 80.6 80.9 81.2 81.5 81.8 82.1 82.4 82.8 83.1 83.4 83.7 84.1 84.4 84.7 85.0 85.3 85.6 85.9 86.2 86.586 79.7 80.0 80.4 80.7 81.0 81.4 81.7 82.0 82.3 82.6 82.8 83.2 83.5 83.8 84.1 84.5 84.8 85.1 85.4 85.7 86.0 86.3 86.6 86.9 87.1 87.487 80.9 81.2 81.5 81.8 82.2 82.5 82.8 83.1 83.4 83.7 83.9 84.3 84.6 84.9 85.2 85.5 85.8 86.1 86.4 86.7 87.0 87.3 87.6 87.8 88.1 88.488 82.1 82.4 82.7 83.0 83.3 83.7 83.9 84.2 84.5 84.8 85.1 85.4 85.7 86.0 86.3 86.6 86.9 87.2 87.4 87.7 88.0 88.3 88.5 88.8 89.1 89.389 83.3 83.6 83.9 84.2 84.5 84.8 85.1 85.4 85.6 85.9 86.2 86.5 86.8 87.1 87.4 87.6 87.9 88.2 88.5 88.7 89.0 89.3 89.5 89.8 90.0 90.390 84.5 84.8 85.1 85.4 85.7 86.0 86.3 86.5 86.8 87.1 87.3 87.6 87.9 88.2 88.4 88.7 89.0 89.2 89.5 89.8 90.0 90.2 90.5 90.7 91.0 91.291 85.7 86.0 86.3 86.6 86.9 87.2 87.4 87.7 88.0 88.2 88.4 88.7 89.0 89.3 89.5 89.8 90.0 90.3 90.5 90.8 91.0 91.2 91.5 91.7 91.9 92.292 87.0 87.3 87.6 87.8 88.1 88.4 88.6 88.9 89.1 89.4 89.6 89.8 90.1 90.4 90.6 90.9 91.1 91.3 91.6 91.8 92.0 92.2 92.4 92.7 92.9 93.193 88.2 88.5 88.8 89.1 89.3 89.6 89.8 90.0 90.3 90.5 90.7 91.0 91.2 91.4 91.7 91.9 92.1 92.4 92.6 92.8 93.0 93.2 93.4 93.6 93.8 94.194 89.5 89.7 90.0 90.2 90.5 90.7 91.0 91.2 91.4 91.6 91.8 92.1 92.3 92.5 92.7 93.0 93.2 93.4 93.6 93.8 94.0 94.2 94.4 94.6 94.8 95.095 90.7 90.9 91.2 91.4 91.6 91.9 92.1 92.3 92.5 92.7 92.9 93.1 93.3 93.6 93.8 94.0 94.2 94.4 94.6 94.8 95.0 95.2 95.4 95.6 95.8 96.096 91.8 92.1 92.3 92.5 92.7 93.0 93.2 93.4 93.6 93.8 93.9 94.2 94.4 94.6 94.8 95.0 95.2 95.4 95.6 95.8 96.0 96.2 96.4 96.6 96.8 97.097 92.9 93.1 93.3 93.6 93.8 94.0 94.2 94.4 94.6 94.8 94.9 95.2 95.4 95.6 95.8 96.0 96.2 96.4 96.6 96.8 97.0 97.2 97.4 97.6 97.9 98.198 93.9 94.1 94.3 94.5 94.7 94.9 95.1 95.3 95.5 95.7 95.9 96.1 96.3 96.5 96.7 96.9 97.1 97.3 97.6 97.8 98.0 98.2 98.5 98.7 99.0 99.299 94.7 94.9 95.1 95.3 95.5 95.7 95.9 96.1 96.3 96.5 96.7 96.9 97.1 97.3 97.5 97.8 98.0 98.2 98.5 98.7 99.0 99.3 99.5 99.8

100 95.2 95.4 95.6 95.8 96.0 96.2 96.4 96.6 96.8 97.1 97.3 97.5 97.8 98.0 98.3 98.5 98.8 99.1 99.4 99.7 100.0



4

Actual C (%abv)\T (oC) 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 500 1.1 1.3 1.5 1.7 1.9 2.1 2.4 2.6 2.8 3.1 3.4 3.7 4.0 4.3 4.6 4.9 5.2 5.6 5.9 6.2 6.5 6.9 7.2 7.6 7.91 2.1 2.3 2.5 2.8 3.0 3.2 3.5 3.7 4.0 4.2 4.5 4.8 5.1 5.4 5.7 6.1 6.4 6.8 7.1 7.4 7.8 8.1 8.5 8.8 9.22 3.1 3.4 3.6 3.8 4.1 4.3 4.6 4.8 5.1 5.4 5.7 6.0 6.3 6.6 6.9 7.3 7.6 8.0 8.3 8.7 9.0 9.4 9.7 10.1 10.43 4.2 4.4 4.7 4.9 5.1 5.4 5.7 5.9 6.2 6.5 6.8 7.1 7.4 7.7 8.0 8.4 8.8 9.1 9.5 9.8 10.2 10.5 10.9 11.3 11.64 5.2 5.5 5.7 6.0 6.2 6.5 6.8 7.0 7.3 7.6 7.9 8.2 8.5 8.9 9.2 9.5 9.9 10.3 10.6 11.0 11.3 11.7 12.1 12.4 12.85 6.2 6.5 6.7 7.0 7.3 7.5 7.8 8.1 8.4 8.7 9.0 9.3 9.6 10.0 10.3 10.6 11.0 11.4 11.8 12.1 12.5 12.9 13.2 13.6 14.06 7.3 7.5 7.8 8.1 8.3 8.6 8.9 9.2 9.5 9.8 10.1 10.4 10.7 11.0 11.4 11.7 12.1 12.5 12.9 13.2 13.6 14.0 14.4 14.7 15.17 8.3 8.6 8.8 9.1 9.4 9.7 10.0 10.3 10.6 10.9 11.2 11.5 11.9 12.2 12.5 12.9 13.3 13.7 14.0 14.4 14.8 15.2 15.6 15.9 16.38 9.4 9.6 9.9 10.2 10.5 10.8 11.1 11.4 11.7 12.0 12.3 12.7 13.0 13.3 13.7 14.1 14.5 14.9 15.2 15.6 16.0 16.4 16.8 17.2 17.69 10.4 10.7 11.0 11.3 11.5 11.8 12.2 12.5 12.8 13.1 13.4 13.8 14.1 14.5 14.8 15.2 15.6 16.0 16.4 16.8 17.2 17.6 18.0 18.4 18.8

10 11.5 11.8 12.0 12.3 12.6 12.9 13.2 13.5 13.9 14.2 14.5 14.9 15.3 15.6 16.0 16.4 16.8 17.2 17.6 18.0 18.4 18.8 19.2 19.6 20.011 12.5 12.8 13.1 13.4 13.7 14.0 14.3 14.6 14.9 15.3 15.6 16.0 16.4 16.8 17.1 17.5 18.0 18.4 18.8 19.2 19.6 20.0 20.4 20.8 21.212 13.6 13.9 14.1 14.4 14.7 15.0 15.4 15.7 16.0 16.3 16.7 17.1 17.5 17.9 18.3 18.7 19.1 19.5 19.9 20.3 20.7 21.2 21.6 22.0 22.413 14.6 14.9 15.2 15.5 15.8 16.2 16.5 16.8 17.1 17.5 17.9 18.2 18.6 19.0 19.4 19.8 20.2 20.7 21.1 21.5 21.9 22.3 22.7 23.2 23.614 15.7 16.0 16.3 16.6 17.0 17.3 17.6 18.0 18.3 18.6 19.0 19.4 19.8 20.2 20.6 21.0 21.4 21.8 22.3 22.7 23.1 23.5 23.9 24.4 24.815 16.8 17.1 17.4 17.8 18.1 18.4 18.8 19.1 19.4 19.8 20.1 20.5 20.9 21.3 21.7 22.1 22.6 23.0 23.4 23.9 24.3 24.7 25.1 25.5 26.016 17.9 18.2 18.5 18.9 19.2 19.6 19.9 20.2 20.6 20.9 21.3 21.7 22.1 22.4 22.8 23.3 23.7 24.1 24.6 25.0 25.4 25.9 26.3 26.7 27.117 18.9 19.3 19.6 20.0 20.3 20.7 21.0 21.4 21.7 22.0 22.4 22.8 23.2 23.6 24.0 24.4 24.8 25.3 25.7 26.2 26.6 27.0 27.4 27.9 28.318 20.0 20.4 20.7 21.1 21.4 21.8 22.1 22.5 22.8 23.2 23.5 23.9 24.3 24.7 25.1 25.5 26.0 26.4 26.9 27.3 27.7 28.2 28.6 29.0 29.419 21.1 21.4 21.8 22.2 22.5 22.9 23.2 23.6 23.9 24.3 24.7 25.1 25.4 25.8 26.2 26.7 27.1 27.6 28.0 28.4 28.9 29.3 29.7 30.2 30.620 22.1 22.5 22.9 23.2 23.6 24.0 24.3 24.7 25.0 25.4 25.8 26.2 26.6 27.0 27.3 27.8 28.2 28.7 29.1 29.6 30.0 30.4 30.8 31.3 31.721 23.1 23.5 23.9 24.3 24.7 25.1 25.4 25.8 26.2 26.5 26.9 27.3 27.7 28.1 28.5 29.0 29.4 29.9 30.3 30.8 31.2 31.6 32.1 32.5 32.922 24.2 24.6 25.0 25.4 25.7 26.1 26.5 26.9 27.3 27.7 28.1 28.5 28.9 29.3 29.7 30.1 30.6 31.0 31.5 31.9 32.3 32.8 33.2 33.6 34.023 25.2 25.6 26.0 26.4 26.8 27.2 27.6 28.0 28.4 28.8 29.2 29.6 30.0 30.4 30.8 31.2 31.7 32.1 32.6 33.0 33.5 33.9 34.3 34.7 35.224 26.2 26.6 27.0 27.5 27.8 28.3 28.7 29.1 29.5 29.9 30.3 30.7 31.1 31.5 31.9 32.4 32.8 33.3 33.7 34.1 34.6 35.0 35.4 35.9 36.325 27.3 27.7 28.1 28.5 28.9 29.3 29.8 30.2 30.6 31.0 31.4 31.8 32.2 32.6 33.0 33.5 34.0 34.4 34.8 35.3 35.7 36.1 36.6 37.0 37.426 28.4 28.8 29.2 29.6 30.0 30.5 30.9 31.3 31.7 32.1 32.5 32.9 33.4 33.8 34.2 34.7 35.1 35.5 36.0 36.4 36.9 37.3 37.7 38.1 38.527 29.5 29.9 30.3 30.7 31.1 31.6 32.0 32.4 32.8 33.2 33.6 34.1 34.5 34.9 35.3 35.8 36.2 36.7 37.1 37.5 38.0 38.4 38.8 39.2 39.628 30.6 31.0 31.4 31.8 32.2 32.6 33.1 33.5 33.9 34.3 34.7 35.2 35.6 36.0 36.5 36.9 37.4 37.8 38.2 38.7 39.1 39.5 39.9 40.3 40.729 31.6 32.1 32.5 32.9 33.3 33.7 34.1 34.5 34.9 35.3 35.8 36.2 36.7 37.1 37.6 38.0 38.5 38.9 39.3 39.8 40.2 40.6 41.0 41.4 41.830 32.7 33.1 33.6 34.0 34.4 34.8 35.2 35.6 36.0 36.4 36.9 37.3 37.8 38.2 38.7 39.1 39.6 40.0 40.4 40.8 41.3 41.7 42.1 42.5 42.931 33.7 34.2 34.6 35.0 35.5 35.9 36.3 36.7 37.1 37.5 37.9 38.4 38.8 39.3 39.7 40.2 40.6 41.0 41.5 41.9 42.3 42.7 43.1 43.5 43.932 34.7 35.2 35.6 36.0 36.5 36.9 37.3 37.7 38.1 38.5 39.0 39.4 39.9 40.3 40.8 41.2 41.6 42.1 42.5 42.9 43.3 43.7 44.1 44.5 44.933 35.7 36.2 36.6 37.1 37.5 37.9 38.3 38.8 39.2 39.6 40.0 40.5 40.9 41.3 41.8 42.2 42.6 43.1 43.5 43.9 44.3 44.7 45.1 45.5 45.934 36.7 37.2 37.6 38.1 38.5 38.9 39.4 39.8 40.2 40.6 41.1 41.5 41.9 42.3 42.8 43.2 43.6 44.1 44.5 44.9 45.3 45.7 46.1 46.5 46.935 37.7 38.2 38.6 39.1 39.5 39.9 40.4 40.8 41.2 41.6 42.1 42.5 42.9 43.3 43.7 44.2 44.6 45.0 45.5 45.9 46.3 46.7 47.1 47.5 47.936 38.7 39.2 39.6 40.1 40.5 40.9 41.4 41.8 42.2 42.7 43.1 43.5 43.9 44.3 44.7 45.2 45.6 46.0 46.4 46.9 47.3 47.7 48.1 48.5 48.937 39.7 40.2 40.6 41.0 41.5 41.9 42.4 42.8 43.2 43.7 44.1 44.5 44.9 45.3 45.7 46.1 46.6 47.0 47.4 47.8 48.2 48.6 49.0 49.4 49.838 40.7 41.1 41.6 42.0 42.5 42.9 43.3 43.8 44.2 44.6 45.1 45.5 45.9 46.3 46.7 47.1 47.5 47.9 48.3 48.7 49.1 49.5 49.9 50.3 50.739 41.7 42.1 42.5 43.0 43.4 43.9 44.3 44.7 45.2 45.6 46.0 46.4 46.8 47.2 47.6 48.0 48.4 48.9 49.3 49.7 50.1 50.4 50.8 51.2 51.640 42.6 43.1 43.5 44.0 44.4 44.8 45.3 45.7 46.1 46.6 47.0 47.4 47.8 48.2 48.6 49.0 49.4 49.8 50.2 50.6 51.0 51.4 51.7 52.1 52.541 43.6 44.0 44.5 44.9 45.3 45.8 46.2 46.7 47.1 47.5 47.9 48.3 48.7 49.1 49.5 49.9 50.3 50.7 51.1 51.5 51.9 52.3 52.6 53.0 53.442 44.6 45.0 45.4 45.9 46.3 46.8 47.2 47.6 48.1 48.5 48.9 49.3 49.7 50.1 50.4 50.8 51.2 51.6 52.0 52.4 52.8 53.2 53.5 53.9 54.343 45.5 46.0 46.4 46.8 47.2 47.7 48.1 48.5 49.0 49.4 49.8 50.2 50.5 50.9 51.3 51.7 52.1 52.5 52.9 53.2 53.6 54.0 54.4 54.7 55.144 46.5 46.9 47.3 47.8 48.2 48.6 49.0 49.4 49.8 50.2 50.6 51.0 51.4 51.8 52.2 52.5 52.9 53.3 53.7 54.1 54.4 54.8 55.2 55.5 55.945 47.4 47.9 48.3 48.7 49.1 49.5 49.9 50.3 50.7 51.1 51.5 51.9 52.3 52.6 53.0 53.4 53.8 54.2 54.5 54.9 55.3 55.6 56.0 56.4 56.746 48.4 48.8 49.2 49.6 50.0 50.4 50.8 51.2 51.6 52.0 52.4 52.8 53.1 53.5 53.9 54.3 54.6 55.0 55.4 55.8 56.1 56.5 56.8 57.2 57.547 49.4 49.8 50.2 50.6 50.9 51.3 51.7 52.1 52.5 52.9 53.3 53.7 54.0 54.4 54.8 55.1 55.5 55.9 56.2 56.6 57.0 57.3 57.7 58.0 58.448 50.4 50.7 51.1 51.5 51.9 52.3 52.7 53.1 53.4 53.8 54.2 54.6 54.9 55.3 55.6 56.0 56.4 56.8 57.1 57.5 57.8 58.2 58.5 58.9 59.249 51.3 51.7 52.1 52.5 52.9 53.2 53.6 54.0 54.4 54.7 55.1 55.5 55.8 56.2 56.6 56.9 57.3 57.7 58.0 58.4 58.7 59.1 59.4 59.8 60.150 52.3 52.7 53.1 53.5 53.8 54.2 54.6 54.9 55.3 55.7 56.0 56.4 56.8 57.1 57.5 57.8 58.2 58.6 58.9 59.3 59.6 60.0 60.3 60.7 61.0



5

Actual C (%abv)\T (oC) 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 5051 53.3 53.7 54.1 54.4 54.8 55.2 55.5 55.9 56.3 56.6 57.0 57.3 57.7 58.1 58.4 58.8 59.1 59.5 59.8 60.2 60.5 60.9 61.2 61.6 61.952 54.3 54.7 55.0 55.4 55.8 56.1 56.5 56.8 57.2 57.5 57.9 58.3 58.6 59.0 59.3 59.7 60.1 60.4 60.8 61.1 61.4 61.8 62.1 62.5 62.853 55.3 55.6 56.0 56.4 56.7 57.1 57.4 57.8 58.1 58.5 58.9 59.2 59.6 59.9 60.3 60.6 61.0 61.3 61.7 62.0 62.4 62.7 63.0 63.4 63.754 56.2 56.6 57.0 57.3 57.7 58.0 58.4 58.7 59.1 59.4 59.8 60.1 60.5 60.9 61.2 61.6 61.9 62.2 62.6 62.9 63.3 63.6 63.9 64.3 64.655 57.2 57.5 57.9 58.3 58.6 59.0 59.3 59.7 60.0 60.4 60.7 61.1 61.4 61.8 62.1 62.5 62.8 63.2 63.5 63.8 64.2 64.5 64.9 65.2 65.556 58.1 58.5 58.9 59.2 59.6 60.0 60.3 60.6 61.0 61.3 61.7 62.0 62.4 62.7 63.1 63.4 63.8 64.1 64.4 64.8 65.1 65.5 65.8 66.1 66.557 59.1 59.5 59.8 60.2 60.6 60.9 61.3 61.6 62.0 62.3 62.6 63.0 63.3 63.7 64.0 64.4 64.7 65.1 65.4 65.7 66.1 66.4 66.7 67.1 67.458 60.1 60.5 60.8 61.2 61.5 61.9 62.2 62.6 62.9 63.3 63.6 64.0 64.3 64.6 65.0 65.3 65.7 66.0 66.3 66.7 67.0 67.4 67.7 68.0 68.459 61.1 61.4 61.8 62.1 62.5 62.8 63.2 63.5 63.9 64.2 64.6 64.9 65.2 65.6 65.9 66.3 66.6 66.9 67.3 67.6 68.0 68.3 68.6 69.0 69.360 62.1 62.4 62.8 63.1 63.4 63.8 64.1 64.5 64.8 65.2 65.5 65.9 66.2 66.5 66.9 67.2 67.5 67.9 68.2 68.6 68.9 69.2 69.6 69.9 70.361 63.0 63.4 63.7 64.1 64.4 64.8 65.1 65.5 65.8 66.2 66.5 66.8 67.2 67.5 67.8 68.2 68.5 68.9 69.2 69.5 69.9 70.2 70.5 70.9 71.262 64.0 64.4 64.7 65.0 65.4 65.7 66.1 66.4 66.8 67.1 67.5 67.8 68.1 68.5 68.8 69.1 69.5 69.8 70.2 70.5 70.8 71.2 71.5 71.9 72.263 65.0 65.4 65.7 66.0 66.4 66.7 67.1 67.4 67.8 68.1 68.5 68.8 69.1 69.4 69.8 70.1 70.5 70.8 71.1 71.5 71.8 72.2 72.5 72.8 73.264 66.0 66.4 66.7 67.0 67.4 67.7 68.1 68.4 68.8 69.1 69.5 69.8 70.1 70.5 70.8 71.1 71.5 71.8 72.2 72.5 72.9 73.2 73.6 73.9 74.265 67.0 67.4 67.7 68.0 68.4 68.7 69.1 69.4 69.8 70.1 70.5 70.8 71.1 71.5 71.8 72.2 72.5 72.9 73.2 73.6 73.9 74.3 74.6 75.0 75.366 68.0 68.4 68.7 69.0 69.4 69.7 70.1 70.4 70.8 71.1 71.5 71.8 72.2 72.5 72.8 73.2 73.6 73.9 74.3 74.6 75.0 75.3 75.7 76.0 76.467 69.0 69.4 69.7 70.1 70.4 70.7 71.1 71.4 71.8 72.1 72.5 72.8 73.2 73.5 73.9 74.2 74.6 75.0 75.3 75.7 76.0 76.4 76.7 77.1 77.468 70.0 70.4 70.7 71.1 71.4 71.8 72.1 72.4 72.8 73.1 73.5 73.8 74.2 74.5 74.9 75.3 75.6 76.0 76.3 76.7 77.0 77.4 77.8 78.1 78.469 71.0 71.4 71.7 72.1 72.4 72.8 73.1 73.4 73.8 74.1 74.5 74.8 75.2 75.5 75.9 76.2 76.6 77.0 77.3 77.7 78.0 78.4 78.7 79.0 79.470 72.1 72.4 72.7 73.1 73.4 73.8 74.1 74.4 74.8 75.1 75.5 75.8 76.2 76.5 76.9 77.2 77.6 77.9 78.3 78.6 79.0 79.3 79.6 80.0 80.371 73.1 73.4 73.7 74.1 74.4 74.8 75.1 75.4 75.8 76.1 76.5 76.8 77.2 77.5 77.8 78.2 78.5 78.9 79.2 79.6 79.9 80.2 80.6 80.9 81.372 74.1 74.4 74.7 75.1 75.4 75.8 76.1 76.4 76.8 77.1 77.5 77.8 78.1 78.5 78.8 79.2 79.5 79.8 80.2 80.5 80.9 81.2 81.5 81.8 82.273 75.1 75.4 75.7 76.1 76.4 76.8 77.1 77.4 77.8 78.1 78.5 78.8 79.1 79.5 79.8 80.2 80.5 80.8 81.2 81.5 81.8 82.2 82.5 82.8 83.174 76.1 76.4 76.7 77.1 77.4 77.8 78.1 78.4 78.8 79.1 79.5 79.8 80.2 80.5 80.8 81.2 81.5 81.8 82.2 82.5 82.8 83.2 83.5 83.8 84.175 77.1 77.4 77.7 78.1 78.4 78.8 79.1 79.4 79.8 80.1 80.5 80.8 81.2 81.5 81.8 82.2 82.5 82.8 83.2 83.5 83.8 84.1 84.4 84.8 85.176 78.1 78.4 78.7 79.1 79.4 79.7 80.1 80.4 80.8 81.1 81.4 81.8 82.1 82.5 82.8 83.1 83.5 83.8 84.1 84.4 84.8 85.1 85.4 85.7 86.077 79.1 79.4 79.7 80.1 80.4 80.7 81.1 81.4 81.7 82.1 82.4 82.8 83.1 83.4 83.8 84.1 84.4 84.8 85.1 85.4 85.7 86.0 86.3 86.6 86.978 80.1 80.4 80.7 81.0 81.4 81.7 82.0 82.4 82.7 83.0 83.4 83.7 84.0 84.4 84.7 85.0 85.3 85.6 86.0 86.3 86.6 86.9 87.2 87.5 87.779 81.0 81.4 81.7 82.0 82.3 82.6 83.0 83.3 83.6 84.0 84.3 84.6 84.9 85.3 85.6 85.9 86.2 86.5 86.8 87.1 87.4 87.7 88.0 88.3 88.580 82.0 82.3 82.6 83.0 83.3 83.6 83.9 84.2 84.6 84.9 85.2 85.5 85.8 86.2 86.5 86.8 87.1 87.4 87.7 87.9 88.2 88.5 88.8 89.1 89.381 83.0 83.3 83.6 83.9 84.2 84.5 84.9 85.2 85.5 85.8 86.1 86.4 86.7 87.0 87.3 87.6 87.9 88.2 88.5 88.8 89.0 89.3 89.6 89.8 90.182 83.9 84.2 84.5 84.8 85.1 85.5 85.8 86.1 86.4 86.7 87.0 87.3 87.6 87.9 88.2 88.4 88.7 89.0 89.3 89.5 89.8 90.1 90.3 90.6 90.883 84.9 85.2 85.5 85.8 86.1 86.4 86.7 87.0 87.3 87.6 87.9 88.1 88.4 88.7 89.0 89.2 89.5 89.8 90.0 90.3 90.6 90.8 91.1 91.3 91.584 85.8 86.1 86.4 86.7 87.0 87.3 87.6 87.9 88.2 88.4 88.7 89.0 89.3 89.5 89.8 90.0 90.3 90.6 90.8 91.1 91.3 91.5 91.8 92.0 92.285 86.8 87.0 87.3 87.6 87.9 88.2 88.5 88.7 89.0 89.3 89.6 89.8 90.1 90.3 90.6 90.8 91.1 91.3 91.6 91.8 92.0 92.3 92.5 92.7 92.986 87.7 88.0 88.3 88.5 88.8 89.1 89.3 89.6 89.9 90.1 90.4 90.6 90.9 91.1 91.4 91.6 91.8 92.1 92.3 92.5 92.8 93.0 93.2 93.4 93.687 88.6 88.9 89.2 89.4 89.7 90.0 90.2 90.5 90.7 91.0 91.2 91.5 91.7 91.9 92.2 92.4 92.6 92.9 93.1 93.3 93.5 93.7 94.0 94.2 94.488 89.6 89.8 90.1 90.3 90.6 90.8 91.1 91.3 91.6 91.8 92.1 92.3 92.5 92.7 93.0 93.2 93.4 93.6 93.8 94.1 94.3 94.5 94.7 94.9 95.189 90.5 90.8 91.0 91.2 91.5 91.7 92.0 92.2 92.4 92.7 92.9 93.1 93.3 93.6 93.8 94.0 94.2 94.4 94.6 94.8 95.1 95.3 95.5 95.7 95.990 91.4 91.7 91.9 92.1 92.4 92.6 92.8 93.1 93.3 93.5 93.7 93.9 94.2 94.4 94.6 94.8 95.0 95.2 95.4 95.7 95.9 96.1 96.3 96.5 96.891 92.4 92.6 92.8 93.1 93.3 93.5 93.7 93.9 94.1 94.4 94.6 94.8 95.0 95.2 95.4 95.6 95.9 96.1 96.3 96.5 96.8 97.0 97.2 97.4 97.792 93.3 93.5 93.8 94.0 94.2 94.4 94.6 94.8 95.0 95.2 95.5 95.7 95.9 96.1 96.3 96.6 96.8 97.0 97.2 97.5 97.7 98.0 98.2 98.5 98.793 94.3 94.5 94.7 94.9 95.1 95.3 95.5 95.8 96.0 96.2 96.4 96.6 96.8 97.1 97.3 97.5 97.8 98.0 98.3 98.6 98.8 99.1 99.4 99.7 100.094 95.2 95.4 95.7 95.9 96.1 96.3 96.5 96.7 96.9 97.2 97.4 97.6 97.9 98.1 98.4 98.6 98.9 99.2 99.5 99.895 96.2 96.4 96.7 96.9 97.1 97.3 97.5 97.8 98.0 98.3 98.5 98.8 99.0 99.3 99.6 99.996 97.3 97.5 97.7 97.9 98.2 98.4 98.7 98.9 99.2 99.5 99.7 100.097 98.3 98.6 98.8 99.1 99.4 99.6 99.998 99.5 99.899

100



6

Graphical Representation of the Correction Table (0 to 100%abv)


7




8




9

Comparison of the Correction Table to Experiment

I did a simple experiment with some whisky and boiled water to test the correction table. Using analcoholometer calibrated at 20oC, I took measurements of the ethanol concentration in boiled water(0%abv), whisky at 27%abv and whisky at 54%abv. The alcoholometer measurements were taken as thetemperature of the mixture was varied between 10 to 45oC. I set the test jar in hot and cold water baths toquickly bring the mixture temperature to each extreme. Then as the mixture approached room temperatureslowly, the alcoholometer and the corresponding temperature measurements were taken. Thealcoholometer and a floating thermometer were left in the mixture throughout each set of measurements.

The agreement between the measurements and table are fairly good. However, it must be admitted thatmeasurements for upper range of ethanol concentration are missing. I did not do any experiments withwater-ethanol mixtures that have a high concentration of ethanol simply because of a lack of supply.

Boiled tap water (0%abv)


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Whisky (27%abv)

Whisky (54%abv)

Tabel de Corectie Pentru Alcoolmetru

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