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Water activity

Water activity is a physics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Water activity rather than just read about it. In short: In food science, water activity (aw) of a food is the ratio of its vapor pressure to the vapor pressure of water at the same temperature, both taken at equilibrium. Pure water has a water activity of one.

Water activity — main illustration
Water activity — illustration

Key takeaways

  • Water activity belongs to physics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Water activity to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Water activity from memory before moving on to harder problems.

Reference excerpt

In food science, water activity (aw) of a food is the ratio of its vapor pressure to the vapor pressure of water at the same temperature, both taken at equilibrium. Pure water has a water activity of one. Put another way, aw is the equilibrium relative humidity (ERH) expressed as a fraction instead of as a percentage. As temperature increases, aw typically increases, except in some products with crystalline salt or sugar. Water migrates from areas of high aw to areas of low aw. For example, if honey (aw ≈ 0.6) is exposed to humid air (aw ≈ 0.7), the honey absorbs water from the air. If salami (aw ≈ 0.87) is exposed to dry air (aw ≈ 0.5), the salami dries out, which could preserve it or spoil it. Lower aw substances tend to support fewer microorganisms since these get desiccated by the water migration. Water activity is not simply a function of water concentration in food. The water in food has a tendency to evaporate, but the water vapor in the surrounding air has a tendency to condense into the food. When the two tendencies are in balance— and the air and food are stable—the air's relative humidity (expressed as a fraction instead of as a percentage) is taken to be the water activity, aw. Thus, water activity is the thermodynamic activity of water as solvent and the relative humidity of the surrounding air at equilibrium.

Formula The definition of aw is

a w ≡ p p ∗ {\displaystyle a_{w}\equiv {\frac {p}{p^{*}}}}

where p is the partial water vapor pressure in equilibrium with the solution, and p* is the (partial) vapor pressure of pure water at the same temperature. An alternate definition can be

a w ≡ l w x w {\displaystyle a_{w}\equiv l_{w}x_{w}}

where lw is the activity coefficient of water and xw is the mole fraction of water in the aqueous fraction. Relationship to relative humidity: The relative humidity (RH) of air in equilibrium with a sample is also called the Equilibrium Relative Humidity (ERH) and is usually given as a percentage. It is equal to water activity according to

E R H = a w × 100 % . {\displaystyle \mathrm {ERH} =a_{w}\times 100\%.}

The estimated mold-free shelf life (MFSL) in days at 21 °C depends on water activity according to

M F S L = 10 7.91 − 8.1 a w {\displaystyle \mathrm {MFSL} =10^{7.91-8.1a_{w}}}

Uses Water activity is an important characteristic for food product design and food safety.

Food product design Food designers use water activity to formulate shelf-stable food. If a product is kept below a certain water activity, then mold growth is inhibited. This results in a longer shelf life. Water activity values can also help limit moisture migration within a food product made with different ingredients. If raisins of a higher water activity are packaged with bran flakes of a lower water activity, the water from the raisins migrates to the bran flakes over time, making the raisins hard and the bran flakes soggy. Food formulators use water activity to predict how much moisture migration affects their product.

Food safety Water activity is used in many cases as a critical control point for Hazard Analysis and Critical Control Points (HACCP) programs. Samples of the food product are periodically taken from the production area and tested to ensure water activity values are within a specified range for food quality and safety. Measurements can be made in as little as five minutes, and are made regularly in most major food production facilities. For many years, researchers tried to equate bacterial growth potential with water content. They found that the values were not universal, but specific to each food product. W. J. Scott first established that bacterial growth correlated with water activity, not water content, in 1953. It is firmly established that growth of bacteria is inhibited at specific water activity values. U.S. Food and Drug Administration (FDA) regulations for intermediate moisture foods are based on these values. Lowering the water activity of a food product should not be seen as a kill step. Studies in powdered milk show that viable cells can exist at much lower water activity values, but that they never grow. Over time, bacterial levels decline.

Measurement Water activity values are obtained by either a resistive electrolytic, a capacitance or a dew point hygrometer.

Resistive electrolytic hygrometers Resistive electrolytic hygrometers use a sensing element in the form of a liquid electrolyte held in between of two small glass rods by capillary force. The electrolyte changes resistance if it absorbs or loses water vapor. The resistance is directly proportional to relative air humidity and therefore also to water activity of the sample (once vapor–liquid equilibrium is established). This relation can be checked by either verification or calibration using saturated salt-water mixtures, which provide a well-defined and reproducible air humidity in the measurement chamber. The sensor does not have any physically given hysteresis as it is known from capacitance hygrometers and sensors, and does not require regular cleaning as its surface is not the effectively sensing element. Volatiles, in principle, influence the measurement performance—especially those that dissociate in the electrolyte and thereby change its resistance. Such influences can easily be avoided by using chemical protection filters that absorb the volatile compound before arriving at the sensor.

… excerpt ends here. Continue reading the full article.

Illustrations

Water activity: Red line shows saturation
Red line shows saturation

Worked examples

Example 1 — a first encounter with Water activity

Start with the simplest possible case. Write down what Water activity claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In physics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Water activity before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Water activity ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Water activity

In research
Water activity appears in physics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Water activity in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Water activity is common in secondary-school and first-year university syllabi. It links to neighbouring topics Food safety, Food science, Thermodynamic properties, so understanding it makes those chapters shorter.
In everyday life
Look for Water activity outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Water activity in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Water activity means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Water activity out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Water activity in simple terms?

In food science, water activity (aw) of a food is the ratio of its vapor pressure to the vapor pressure of water at the same temperature, both taken at equilibrium. Pure water has a water activity of one.

Why does Water activity matter?

Because it connects several physics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Water activity?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Water activity.

Tags

  • Food safety
  • Food science
  • Thermodynamic properties
  • Water

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