There is a point in many home brewers’ career when they become curious about the main ingredient: water. In many cases the water coming from the tap is adequate for brewing, which is why home brewers rarely worry about their water for the first batches. When starting out, getting comfortable with the brewing process is more important than having to worry about water chemistry, which may not be very intuitive at first.

But once there is a need or simply the curiosity to know what is in the water and how it can affect the beer a water report is needed. This article focuses how to obtain a water report and, more importantly, how to read and interpret the data that is given in it.

Obtaining a water report

There are a number of sources for a water report. If you are on municipal water the first stop would be the website of your water department. Unfortunately, most municipalities post only a water quality report which not necessarily lists all the minerals that were brewers are interested in. The reason for that is that those minerals don't pose a health risk and their actual concentration has little effect on the water's suitability as drinking water. However, most of the water quality reports that I have seen list alkalinity and total hardness which can tell a lot about the water's effect on the mash and boil pH. In the US, the EPA (Environmental Protection Agency) requires that drinking water suppliers provide their customers with a Consumer Confidence Report on a yearly basis^[1].

For brewing, a water report should list these minerals and parameters:

• total hardness (not needed if calcium and magnesium levels are given)
• alkalinity
• calcium
• magnesium
• sodium
• chloride
• sulfate
• bicarbonate (not needed if alkalinity is given)

If your water department doesn’t provide that information or you get your water from a private well, there are a few alternatives. One option is to call the water department and ask if they can provide the information. However, many brewers opt for sending their water to a lab for a custom water analysis. One very popular water lab among home brewers is Ward Laboratories Inc. (wardlab.com) in Kearney Nebraska. The water analysis to get is W-6 Household Mineral Test which costs $16.50. Simply clean and fill a ½ pint or pint sized plastic bottle with the water to be tested. Send that water with a check for the analysis fee and a note which indicates: you want analysis W-6, your mailing address and your e-mail address to the address given here. A few days later you'll receive your water report as an e-mail. It's that simple.

Figure 1 – An example for a W-6 report from Ward Labs (Courtesy of Jeff Fuller)

An even quicker option, which works well if you are only interested in a crude analysis, is a GH & KH water test. Those tests are designed to be done at home. It is also a very practical means to detect changes in your water supply which may require a new water analysis to be done. As I will show later, total hardness (GH) and alkalinity (KH) are sufficient to make a reasonably accurate prediction of the mash pH or necessary water treatments to correct mash pH.

Atoms, molecules and ions

The minerals, which are dissolved in water are present there as ions. To better understand what atoms, ions and molecules are let’s take a closer look at basic chemistry. Don’t worry; I won’t go to deep into it.

Atoms are the basic building blocks of chemical compounds (Figure 2). They consist of a nucleus which is build from positively charged protons and neutral neutrons. It represents the vast majority of the atom’s weight. The nucleus is surrounded by negatively charged electrons. In an atom there is one electron for each proton and as a result the overall electrical charge of the atom is neutral.

It is the number and configuration of these electrons that determine the chemical behavior of an atom. Let’s look at the example of sodium and chlorine below

Figure 2 – sodium and chlorine atoms

Sodium has 11 electrons. A simple model of their configuration is shown in Figure 2. The shell closest to the nucleus can hold 2 electrons and is completely filled. The next shell can hold 8 electrons and is completely filled too. The outermost shell, however, can also hold 8 electrons but holds only one electron. It is a basic law of physics that an atom always strives to having fully completed electron shells. This causes most of them (except the noble gases which naturally have these configuration) to react with other atoms as we will see shortly.

The chlorine atom has the opposite problem; it is missing one electron to complete its outer shell of electrons. So, when they both get together the sodium donates one of its electrons to the chlorine. By doing so the sodium has 2 complete electron shells and the chloride has 3 complete shells. Both atoms are now “happy”, but this electron transfer left them electrically charged. The sodium, now a sodium ion, lost one electron and has one positive charge. The chlorine, now a chloride ion, has gained one electron and therefore has one negative charge.

Figure 3 – The now charged sodium and chloride ions are attracted to each other and are forming a sodium chloride molecule

Two oppositely charged ions attract each other and also arrange themselves in a regular structure just like a Magnetix toy. The results are the salt crystals we all know. But that’s beside the point. Important is what happens to sodium chloride when it comes in contact with water. Because of the arrangement of the hydrogen atoms the water molecule has a positively and a negatively charged side. This property of water, being a polar liquid, makes it a great solved for anything charged. Just like the sodium and chloride ions in sodium cloride.

Figure 4 – sodium chloride dissolved in water

Their polar nature allows the water molecules to get between the sodium and chloride ions and break up their bond. The salt dissolves. Based on the number of electrical charges, ions are classified as monovalent (one charge) or bivalent (two electrical charges).

When the water is removed, through evaporation for example, the sodium and chloride ions will attract each other again and form salt crystals again.

Molecules are groups of atoms which are held together by chemical bonds. Molecules themselves can become ions too. In our case sulfate (SO₄^2-), for example, is an ion which consists of one sulfur and 4 oxygen atoms. It carries 2 negative charges.

concentration, hardness and alkalinity

Before we can get into the units found in water reports we need to understand the different types of measurements that are found it water reports.

First off, there are simple concentrations of substances, mostly ions, which are generally listed as mg/l or ppm. These measure the ion’s weight compared to the weight of the water.

Hardness is a parameter which expresses the calcium and magnesium content of the water. Its name has little to do with how the water feels but stems from the fact that the presence of calcium and magnesium makes it “harder” create soap lather. This is the result of a precipitating reaction between the soap, the calcium and the magnesium ions in the water. The resulting precipitate is soap scum and the higher the calcium and magnesium content of the water the more soap is consumed by the formation of soap scum. Water hardness is defined as the concentration of calcium and magnesium (technically any bivalent ion but only calcium and magnesium tend to be present it a significant amount). This combined concentration is not measured as mg/l or ppm since calcium and magnesium ions have different weights. Instead it is reported either as mEq/l or an equivalent amount of calcium carbonate (ppm as CaCO₃). Water low in calcium and magnesium is called “soft” water while high calcium and magnesium concentrations make for “hard” water.

Hardness may also measure only the calcium or magnesium concentration. In these cases it will be called calcium or magnesium hardness respectively.

Alkalinity is a measure of the water’s pH buffering capacity and defined as the amount of acid equivalents it takes to lower the water’s pH to a defined end point. Most commonly this end point is a pH of 4.3 ^[2]. Since the major pH buffer in water is the carbonate system the water’s alkalinity can be used to determine the bicarbonate and carbonate concentration and vice versa. Like hardness, alkalinity is always given using an equivalent unit (mEq/l or ppm as CaCO₃).

About the units found in a water report

The analysis results found in a water report may be given in a variety of units. What they mean and how to convert between them goes a long way in understanding a water report.

mg/l or ppm

For all intents and purposes the units mg/l (milligram per liter) and ppm (parts per million) are and can be used interchangeably since one liter of water weighs 1 million milligrams. This unit is commonly used to measure the concentration of individual ions. Occasionally ug/l (microgram per liter) or ppb (parts per billion) is also used but rarely for the ions that we brewers are interested in.

mmol/l

Though rarely found in water reports mmol/l (millimol per liter) is a very useful unit for chemical calculations. Rather than expressing the weight of a substance the chemical unit mole expresses the number of atoms, ions or molecules. To be exact 6.0221415×10²³ atoms, ions or molecules make one mole. This is the same amount as there are atoms in 12g of carbon. ^[3] A millimol (mmol) is a thousandth of that.

To convert between mg and mmol the weight of each atom, ion or molecule of the substance needs to be known. Those numbers have been published in chemical reference books, but can also be calculated if the atomic masses of the individual atoms of a molecule are known. The internet provides a great reference for that.

Example 1: The water contains 100 mg/l calcium. One calcium atom has an atomic weight of 40.08 g/mol. Since that weight is largely concentrated in the atom’s nucleus a calcium ion, which misses 2 electrons, is assumed to have the same weight. Hence 100 mg/l equals 100/40.08 = 2.5 mmol/l

Eample 2: The water contains 100 mg/ bicarbonate (HCO₃^-). The molecular weight of bicarbonate is not known but the atomic weights of the individual atoms are known: H: 1 g/mol, C: 12 g/mol and O: 16 g/mol. The molecular weight of bicarbonate can now be calculated as the sum of its atoms: 1 + 12 + 3x16 = 61 g/mol. Hence the water contains 100/61 = 1.64 mmol/l bicarbonate.

mEq/l

Though mmol/l does express the number of ions, which works better for chemical calculations, it does not take the electric charges of these ions into account. The latter is useful for calculating neutralizing reactions between acids and bases for example as well as calculating the ion balance. The ion balance is the sum of all positive and all negative changes. They need to be equal in any realistic water composition, but more about this later.

An equivalent (Eq) is the moles of ions multiplied with the number of electrical charges each ion carries. 1 mEq is one thousandths of that.

• Example 1: 100 mg/l calcium is 2.5 mmol/l calcium. How many mEq calcium is this?: Each calcium (Ca²⁺) has 2 positive charges, hence 2.5 mmol/l calcium are 5 mEq/l.
• Example 2: 100 m/l bicarbonate is 1.64 mmol/l. How many mEq/l bicarbonate is this?: Each bicarbonate ion has one negative charge and therefore 1.64 mmol/l bicarbonate is also 1.64 mEq/l

In some water reports mEq/l is the unit used for hardness and/or alkalinity although, in the US, ppm as CaCO₃ is a more common unit.

Equivalent units

Because they are so easy to work with it is common in water reports to express the amount of a particular mineral or group of minerals as the equivalent amount of another substance. Those units are very similar to mEq/l and will be discussed here

as ppm CaCO₃

Measurements commonly expressed in ppm as CaCO₃ are hardness and alkalinity. If a water sample has a hardness of 100 ppm as CaCO₃ it has the same hardness which the calcium from 100 mg/l calcium carbonate would add. If it has an alkalinity of 100 ppm as CaCO₃ it has the same acid neutralizing power 100 mg/l CaCO₃ have.

One mole of calcium carbonate weighs 100g and its ions, Ca²⁺ and CO₃^2-, have 2 electrical charges each. Hence 1 mEq/l equals 50 ppm as CaCO₃.

grains per gallon (GPG)

Grains per Gallon is an old measure of water hardness which is based on calcium carbonate too. One grain per gallon is defined as an equivalent amount of 64.8 mg (1 grain) calcium carbonate in 3.79 liters (1 US gallon) of water. This is the same as 17.1 ppm as CaCO₃. ^[4]

degrees German Hardness

Degree German Hardness is an equivalent unit which is, as its name suggests, widely used in Germany. One degree of German Hardness (1 dH) is the hardness created by 10 mg calcium oxide (CaO) in one liter of water. The molaric weight of CaO is 56 g/mol and therefore 10 mg/l CaO equal 0.17 mmol/l or 0.35 mEq/l since the calcium ion has 2 positive charges. Thus:

1 dH = 0.35 mEq/l = 17.9 ppm as CaCO₃

degrees French Hardness

Like the Americans the French defined their hardness on the basis of calcium carbonate too. One degree French Hardness (1 TH) is the hardness added by 10 mg calcium Carbonate (CaCO₃) in 1liter water. This unit is very similar to ppm as CaCO₃ except that it is 1/10th of that:

1 TH = 10 ppm as CaCO₃ = 0.2 mEg/l = 0.56 dH

Unless you are reading French water reports it is unlikely that you’ll ever encounter this unit.

converting between the various units

The following table shows how to convert mg/l for the various ions found in water to mmol/l or the equivalent units discussed earlier.

Table 1 - convesion factors from mg/l to various equivalent units for the ions commonly considered in a brewing water analysis. Note that converting mg/l or ppm to an equivalent unit for bicarbonate gives the alkalinity of the water (at least in most cases)

reading a water report

Now that you have a water report and an understanding of the units used in it you take a closer look. These are the ions and water parameters that are of interest:

Total Hardness

Table 2 - calcium and magnesium concentration and harness estimated from the water's total hardness

The total hardness (also called general hardness or GH) is an indication of the calcium and magnesium content. In most waters about 70% of the hardness comes from calcium with the remaining 30% coming from magnesium. This can be used to estimate the calcium and magnesium content if those two ions are not listed separately

pH

Table 3 - The alkalinity (i.e. acid equivalents needed to lower the pH to 4.3) caused by the water pH only

The pH of the water matters little in brewing. It merely shows how acidic the water is w/o giving any information about that water's ability to hold this pH when acids or bases are added. Table 3 shows how much of the water's alkalinity (i.e. acid equivelents needed to lower the pH to 4.3) is caused by the pH of the water being greater than 4.3. For neutral water (pH = 7) that alkalinity contribution is 2.5 ppm as CaCO₃ and therefore small enough to really matter. Only once the water pH gets well above 9, which is not considered safe drinking water, will the pH contribute significantly to the water's alkalinity.

In addition to that, the alkalinity caused by the water's pH is already factored into the measured alkalinity it would only need to be considered when alkalinity is calculated from the bicarbonate concentration.

It is easily possible to create water that has a low pH and a high alkalinity. The latter will give a higher mash pH than a water that has a high pH but a low alkalinity. Water treatment with slaked lime, for example, creates waters that have a lower alkalinity but higher pH than the pre-treatment water. The resulting mash pH is lower since it is determined by the water's alkalinity and not its pH.

Alkalinity

As mentioned [[#concentration, hardness and alkalinity][earlier]] alkalinity is the amount of acid needed to lower the water pH to 4.3. If it is not reported it can be estimated from the bicarbonate concentration using the following formula

alkalinity in ppm as CaCO₃ = bicarbonate in ppm * 50/61

61 is the molecular weight of the bicarbonate ion and 50 is the equivalent weight of calcium carbonate.

This formula assumes that the water’s alkalinity is only represented by bicarbonate and the acid needed to lower its pH to the reference pH of 4.3 (see the [[#pH][previous section]]) is neglected. The former is a correct assumption if the water’s pH is less than 8.5. Otherwise the carbonate concentration needs to be considered as well using this formula:

alkalinity in mEq/l = [HCO₃^-] + 2 * [CO₃^2-]

The square brackets note the molar concentration (mmol/l) of the respective ion. With the mEq/l to ppm CaCO₃ conversion factor of 50 and bicarbonate molecular weight of 61 one can see that the absence of carbonate (CO₃^2-) simplifies this formula to the aforementioned one.

Since water with a significant concentration of calcium and carbonate is unstable and will precipitate calcium carbonate (a.k.a. chalk) suitable brewing waters rarely contain any appreciable amounts of carbonate.

Cations

Calcium (Ca²⁺)

Atomic weight: 40.078 g/mol

Calcium is an important ion for the brewing process and the main contributor to water hardness. It stabilizes alpha-amylase during mashing (however, this enzyme still fairly stable at the temperatures that are commonly used for mashing) and aids in the protein coagulation ^[5]. The latter also has a positive effect of the lauter runoff. It’s reaction with malt phosphates lowers the mash pH, an effect that is captured in the concept of residual alkalinity. Calcium promotes hot break flocculation ^[6] and is necessary for yeast flocculation where it becomes part of the bridges that are formed between yeast cells. A calcium content of more than 50 mg/l is recommended for preventing the excessive formation of calcium oxalate (beer stone) which can be the cause of gushing.

Although the recommended concentration for calcium is between 50 and 150 ppm ^[7] I have been able to brew excellent clear lagers with as little as 30 ppm calcium. In general water’s used for lager brewing tend to contain less hardness (i.e. calcium and magnesium) than waters used for ale brewing.

Magnesium (Mg²⁺)

Atomic weight: 24.305 g/mol

Though Magnesium is an important co-factor for various enzymes during fermentation and also supports peptidase enzyme activity during mashing its presence in the water is not required since the malt adds on the order of 130 mg/l (4 l/kg mash thickness) ^[5]. Magnesium content in water of up to 50 mg/l is seen as acceptable. High magnesium levels combined with high sulfate levels can lead to the formation of magnesium sulfate (Epsom Salt) which imparts the beer an unpleasant bitterness.

Similar to calcium magnesium also reacts with malt phosphates to lower the mash pH. But its effect is only about half that of calcium.

Sodium (Na⁺)

Atomic weight: 22.9897

At levels above 150 mg/l sodium can, together with chloride, lend the beer a salty taste. Below these concentrations sodium chloride can increase the beer’s mouthfeel ^[5]. As a result brewers aim to keep the sodium levels below 50 ppm ^[6].

High sodium levels in water can be the result of water softeners which replace calcium and magnesium ions with sodium ions. Such waters are generally unsuitable for brewing.

If you are using Five Star’s 5² mash buffer you are also adding a lot of sodium to the water since this product is made up of sodium phosphate salts.

Potassium (K⁺)

Atomic weight: 39.0983 g/mol

While the malt adds potassium on the order of 500 mg/l to the mash the potassium content of the brewing water should be less than 10 mg/l ^[5].

other metal ions

Iron causes problems at concentrations as low as 0.2 mg/l by inhibiting sacharification, increasing color of the wort and promote beer staling processes ^[5]. Excessive iron can also give the beer a metallic blood-like taste. Iron is part of the secondary (i.e. cosmetic) water standards and its level is recommended to be below 0.3 mg/l ^[8]

Manganese is important for enzymes in yeast metabolism but excessive amounts cause the same problems as excessive iron content. The EPA recommends a manganese concentration of 0.05 mg/l or lower ^[8].

Many other metals like copper, zinc, lead and tin are toxic to yeast when present in higher concentrations but important for yeast metabolism and growth at lower concentrations ^[5]. However, for successful fermentation none of these metals have to come from the brewing water. In the case of beer the malt is providing an adequate amount of these trace elements.

Anions

bicarbonate/carbonate (HCO₃^-/ CO₃^2-)

Molecular weight: 61.01 g/mol (HCO₃^-); 60.01 g/mol (CO₃^2-)

Bicarbonate and carbonate, which are the conjugate bases of carbonic acid, are responsible for the water’s pH buffering capacity which is measured as its alkalinity. Because of that they can be used to predict the water’s alkalinity. Other ions, which have pH buffering properties, are phosphates but those are generally not present in significant amounts.

The increased pH buffering brought on by bicarbonate and carbonate works against the acidity of the grist and can lead high mash and boil pH values. The effect of high mash and boil pH has been discussed in How pH affects brewing

If the water also contains significant amounts of calcium, carbonate is generally not present in any significant amount since it forms a poorly soluble salt wit calcium: calcium carbonate or chalk which eventually precipitates from the water. As a result the pH of those waters, which is almost any tap water, tends to be below 8.5 at which point bicarbonate is the dominant ion that represents the water’s alkalinity.

The bicarbonate and carbonate content of the water is not needed when its alkalinity is given since brewers only use it is to estimate the water’s alkalinity.

Sulfate (SO₄^2-)

Molecular weight: 96.07 g/mol

The sulfate ion affects the perception of bitterness. High sulfate levels give the beer a dry and more bitter taste ^[5]. Levels higher than 400 ppm, which lead to astringent and unpleasant bitterness, should be avoided^[7].

NOTE: Some water testing laboratories, like Ward Labs for example, report sulfate as SO4₄-S (read sulfate as sulfur) which only counts the weight of the sulfur. To get the actual sulfate concentration this number needs to be multiplied by 3 since the sulfur atom represents 33% of the mass of a sulfate ion.

It makes sense for agricultural water testing to report the sulfur, nitrogen or phosphor content as opposed to the sulfate, nitrate or phosphate content since farmers are primarily interested in how much sulfur, nitrogen or phosphor is added to their fields. ^[9]

Chloride

Molecular weight: 35.45 g/mol

The chloride ion is known to enhance the activity of the alpha-amylase ^[5][10] by binding to the enzyme and transforming it into a more active state ^[11].

Used as calcium chloride it gives the beer a full and smooth taste. Sodium chloride enhances the beer’s mouthfeel ^[5].

Chloride dominated waters tend to be better for malt dominated beers while waters high in sulfate are more suitable for hoppy and more bitter beers.

Chloride, the ion, is distinct from chlorine which some water departments add to to their water for sanitary purposes. Excessive Chlorine content can lead to phenolic or band-aid like off flavors.

residual alkalinity

Residual alkalinity is a property of the water which is important for brewers but is not given in water reports. It can, however, be calculated from the data given in the report.

Residual alkalinity is the alkalinity that is left once the acidifying, i.e. bicarbonate neutralizing, reactions of calcium, magnesium and the malt have been considered. Kolbach, a German brewing scientist, came up with the concept of residual alkalinity in the first half of the 1900s and defined it as:

RA = KH – CH/3.5 – MH/7

Where

• RA: residual alkalinity in any of the equivalent units (ppm as CaCO₃, mEq/l, dH, etc.)
• KH: alkalinity (Karbonathärte in German) given in the same equivalent unit
• CH: calcium hardness given in the same equivalent unit
• MH: magnesium hardness given in the same equivalent unit

If you want to calculate it as ppm as CaCO₃ from the alkalinity given in CaCO₃ and the Ca and Mg concentrations given in ppm use this formula:

RA = alkalinity – 0.71 * Ca – 0.59 Mg

What if only total hardness and alkalinity are given ?

In some cases the information given by a water report is rather limited and the only useful measurements you can find are general hardness and alkalinity. But even with these measurements a reasonably accurate prediction of the residual alkalinity, which is a major factor for mash pH, can be made. The idea has already been presented in At Home Water Testing where the following formula was given:

RA = KH – ( GH / 4 )

This formula works with any equivalent unit (mEq/l, ppm as CaCO3 or dH). The assumption made here is that on average about 30% of the water’s hardness is caused by magnesium while the remaining 70% are caused by calcium. Based on the large range of residual alkalinity that is suitable for a given beer (see Beer color, alkalinity and mash pH the error caused by the uncertainty of the actual calcium to magnesium ratio will matter even less.

What if alkalinity and bicarbonate are missing?

In some cases the water report is very detailed and list all the ions that we brewers are interested in except for alkalinity and bicarbonate. In this case the bicarbonate content and with it the alkalinity can easily be reconstructed by relying on the fact that all realistic water compositions need to be balanced. Being balanced means that there are as many negative charges (from the anions) as there are positive charges (from cations) which leads to an overall charge of zero (neutral). To calculate the ion balance of a given water profile the concentration of all individual ions need to be expressed with an equivalent unit since these units take the different weights and the different number of charges per ion into account. If you add up the equivalent concentrations of the cations and anions they have to be the same. If they are not the measurements might be inaccurate or, which is more commonly the case, not all ions have been reported.

If we suspect that only one significant ion is not reported, which in our case is bicarbonate, we can estimate its concentration from the ion balance. Though this can be done by hand it is much easier to use a spreadsheet which calculates the ion balance. The Kaiser_water_calculator.xls does that for you and here is an example on how to estimate the missing bicarbonate and alkalinity:

Enter the known mineral concentrations:

Bicarbonate is left blank and the ion balance (upper right corner) shows a strongly positive ion balance which means that there are too few anions.

Now keep increasing the bicarbonate (or alkalinity for that matter) content until the ion balance is near 0.

In this case the estimated bicarbonate content is 220 ppm which corresponds to an alkalinity of 180 ppm as CaCO₃.

obtaining and reading German water reports

The internet has made it possible for us to get water reports from any region in the world as long as they are posted on-line. Out of curiosity many brewers might be interested in the composition of the water that a particular German brewery may be brewing with. Though many German brewers treat their water they only do so if it is necessary. If the tap water appears to be suited for a particular style it is very likely that the local brewer is using the water straight from the tap.

To read and find a German water report you’ll need to know some vocabulary which is summarized in the following table:

To find a water report for a particular German city go to a German search engine (e.g. “google.de”) and type Trinkwasseranalyse and the German name of the city. In most cases this will find the site for the Stadtwerke of that city which is the provider of the major utilities (electricity, water, gas, etc.). Here are public water reports for a few cities that might be of interest:

• Trinkwasseranalyse Muenchen – Munich
• Trinkwasseranalyse Duesseldorf
• Trinkwasseranalyse Dortmund – surprisingly different from the classic Dortmunder water profile

References

1. ↑ Ground and drinking water, epa.gov
2. ↑ A.J. deLange, Alkalinity part I
3. ↑ Wikipedia, Mole (unit)
4. ↑ Wikipwdia, Measurements of water hardness
5. ↑ ^{5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8} Ludwig Narziss, Werner Back, Die Bierbrauerei Band 2: Technologie der Würzebereitung, Wiley-VCH, 2009
6. ↑ ^{6.0 6.1} Gregory J. Noonan, New Brewing Lager Beer, Brewers Publications, Boulder CO, 1996
7. ↑ ^{7.0 7.1} John J. Palmer, How to Brew, Brewers Publications, Boulder CO, 2006
8. ↑ ^{8.0 8.1} EPA, Secondary Drinking Water Regulations
9. ↑ A.J. deLange, post on the Brewing Network forum
10. ↑ C. Eyester, The Optimum pH For Diastase Of Malt Activity, 1959, The Ohio Journal Of Science
11. ↑ A. Hengge, Faculty, Chemistry and Biochemistry, Utah State University, post on www.madsci.org