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Practical Brewery Formulas

GEOMETRY Circle Circumference (C): = 2 π R

ATTENUATION % Alcohol by weight ( a ):

Extract Produced ———————— x 100 Potential Extract

Brewhouse Efficiency =

= 0.42 (OE – AE) = 0.52 (OR – RE)

Where

Extract produced is found by accurately determining the volume and the “gravity” of the wort collected in the starting tub, Potential extract is the sum of the products obtained by multiplying the weights of malt and adjuncts by their respective laboratory “as is” yields (fine grind yield for malt).

Area (A):

% Real Extract (RE) : = a ——— + AE 2.22

= π R 2

And

Sphere Area (A):

% Original Extract (OE) :

= 4 π R 2

Volume (V): = Cylinder Area (A) of curved surface: = 2 π R H 4 π R 3 ——— 3

a ——— + RE 0.52

=

MIXING Aa + Bb = Cc Where

a ——— + AE 0.42

=

A and B

= quantities mixed

2 a + RE - 0.22

Area (A) of each base: = π R 2

a and b

= corresponding properties

% Apparent Degree of Attenuation (ADA) :

C = A + B

= quantity of mix

Volume (V):

c = property of mix Example: If 85 bbls of water at 120 °F are mixed with 55 bbls at 212 ºF, what is the temperature of the mix? Let X = ºF of the mix; then 85 x 120 + 55 x 212 = 140 X , and

OE - AE ————— OE

= π R 2 H

=

Cone Area (A) of curved surface: = π R √ R 2 + H 2

% Real Degree of Attenuation (RDA) :

OE - RE ————— OE

=

Area (A) of base: = π R 2

10,200 + 11,660 ———————— = 156.1 140

X =

= 0.81 x ADA

Volume (V): =

Example: How many bbls of beer of 3.8% and 3.2% by weight of alcohol, respectively, must be blended in order to obtain 650 bbls of beer of 3.6% alcohol? Let X = number of bbls of 3.8% beer. Then (650 – X ) = number of bbls of 3.2% beer. Substituting in formula: X x 3.8 + (650 - X ) x 3.2 = 650 x 3.6 0.6 X = 260 X = 433 Answer: Mix 433 bbls of 3.8% beer with 217 bbls of 3.2% beer.

π R 2 H ——— 3

Abbreviations a = % alcohol by weight OE = % Original Extract RE = % Real Extract

Plain Dished Heads of Cylindrical Tanks Volume (V):

= 0.1372 π R 3 each, approximately

AE = % Apparent Extract RDA = % Real Degree of Attenuation ADA = % Apparent Degree of Attenuation

Where R = radius of tank, and

2 R = radius of dished head

EXTRACT Convert ºP to lbs/bbl: = ALCOHOL Alcohol by Weight x 1.25 = Alcohol by Volume ( 259+ O P) O P —————— 100

Abbreviations C = circumference A = area

V = volume π = 3.14159 R = radius H = height

48 2023 - 2024 Gusmer Enterprises, Inc. Brewing Products Catalog

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