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FORMULAS AND SHORT NOTES FOR FAST AND EASY EXAM REVISION

What is pH?

The term pH, widely used in chemistry, biology, and agronomy, translates the values of the concentration of the hydrogen ion into numbers between 0 and 14.

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What is pH?

An easier way to measure the strength of an acid or base solution was worked out by the Danish biochemist. S. Sørensen in 1909. He was interested in checking the acidity of beer and introduced a scale known as the pH scale (In German ‘p’ stands for ‘potenz’ meaning power).

Formula of pH

Many properties of aqueous solutions depend on the concentration of H+ ions in the solutions, and therefore there is a need to express these concentrations in simple terms. For this purpose, we introduce the concept of pH.

pH = – log aH+ (where aH+ is the activity of H+ ions).

The activity of H+ ions is the concentration of free H+ ions in a solution. By free, we mean those that are at a large distance from the other ion so as not to experience its pull. We can infer from this that in dilute solutions, the activity of an ion is the same as its molar concentration since more solvent molecules would separate the two ions. For concentrated solutions, the activity would be much less than the concentration itself. Also Read Chemistry Formulas

Characteristic of pH and pH Scale

The scale runs from 0 to 14, and the characteristics of the scale are:

Acids have pH less than 7

The more acidic is a solution, the lower will be its pH

Neutral solutions (e.g., water) have pH of 7

Alkalies have pH more than 7

The more alkaline is a solution, higher will be its pH.

The pH scale may be shown as follows:

The pH of a solution is inversely proportional to the concentration of hydrogen ions in it. that is, a solution having a high concentration of hydrogen ions has a low pH value. On the other hand, a solution having low concentration of hydrogen ions has a high pH value.

The relation between them can also be expressed as:

pH = – log [H+]

Determination of pH of acids or bases

For strong acid

HCl (aq.) → H+(aq.) + Cl–(aq.)

pH = –log [H+]

If conc. of HCl is less than 10–6M then we take conc. of H+ from water into accounts i.e. 10–7. Otherwise we would neglect the conc. of H+ from water.

pH calculation for Strong Acids

Let us now see how to calculate the pH of a solution of a strong acid in water (it should be noted that pH calculations are only made for aqueous solutions). Let the strong acid be HCl. If we take 10–1M HCl, the [H+] would be 10–1 M, as HCl is a strong acid and would dissociate completely. Therefore the pH would be,

pH = –log 10–1 = 1

Concentration of HClpH
10–1M1
10–2M2
10–3 M3
10–4 M4
10–5 M5
10–6 M6
10–7 M7 (?)

We can see that for 10–7M of HCl we have some hesitation in talking about the pH. This is because if we use our expression of pH, it works out to be 7, which is somehow associated with neutrality. We shall now explain how to calculate the pH of 10–7M HCl. Before we do this we shall discuss the dissociation of water.

When we add 10–7 M HCl in water, the [H+] from HCl would be10–7 M. But pH is the negative logarithm of the total H+ ion concentration of a solution and not that part which comes from only HCl ( you might wonder why we have changed our stand. This will become clear in a short while). Therefore, we need to add the concentration of H+ ions coming from water also. This can be done as

In the presence of HCl, the dissociation of water will be suppressed & hence the concentration of H+ would be less than 10-7 M.

Importance of pH to Aquatic Life

The human body works efficiently within a pH range of 7 and 7.8. Some living organisms can survive only within a narrow range of pH. In industrial areas, the pH of rainwater is less than 5.6, on account of the dissolution of acidic gases, such as sulphur dioxide and nitrogen dioxide. Such rain with a pH of less than 5.6 is called acid rain.

When the acid rainwater flows into rivers, it lowers the pH of river water, i.e., river water gets acidic. This in turn, kills most of the aquatic life.

Importance of pH in Soil

Some crops, such as citrus fruit plants, grow better in alkaline soil. Sugarcane grows better in neutral soil. Acidic soil is generally unfit for growing any crops. The soils get acidic when plant roots and plant residues are not removed from the soil. They rot in the soil to produce acids. Soils also get acidic when an excess of artificial fertilisers is used. The acidic soil can be brought back to normal health by spraying slaked lime in the fields. Conversely, alkaline soils can be cured by spraying gypsum powder. As stated earlier, different plants grow better in soil with specific pH values. Thus, the farmers need to get the pH value of their soil tested before growing a particular crop. Otherwise, they are going to suffer huge financial losses due to crop failure.

pH in our Digestive System

Many people have a frequent complaint, commonly called acidity of the stomach. Our stomach produces gastric juice which contains a large amount of hydrochloric acid. The acid so produced does not harm the stomach walls, but kills germs and bacteria which enter our digestive system along with food. Thus, in a way, it protects us from diseases and helps digestion.

However, when we overeat, eat spicy foods or have worries or tension, the stomach produces a large amount of hydrochloric acid. Sometimes, this excess acid damages the walls of the stomach and causes stomach ulcers. The acidity of the stomach can be reduced by taking antacid tablets. These tablets generally consist of magnesium hydroxide and aluminium hydroxide, which are mild bases. They react chemically with the hydrochloric acid and neutralise it.

pH of Common Acids and Bases

SubstanceTypeApproximate pHExplanation
Hydrochloric Acid (HCl)Strong Acid0–1A highly acidic solution commonly found in laboratories and stomach acid.
Sulfuric Acid (H₂SO₄)Strong Acid0–1Strong mineral acid used in batteries and industries.
Lemon JuiceWeak Acid2–3Contains citric acid, giving it a sour taste.
VinegarWeak Acid2–3Contains acetic acid and is used in cooking and food preservation.
Orange JuiceWeak Acid3–4Contains citric acid and vitamin C.
Tomato JuiceWeak Acid4–5Mildly acidic due to organic acids.
Black CoffeeWeak Acid5Naturally acidic beverage.
MilkSlightly Acidic6–6.5Contains lactic acid and other dissolved substances.
Pure WaterNeutral7Neither acidic nor basic; standard reference point on the pH scale.
BloodSlightly Basic7.35–7.45Maintained within a narrow pH range for proper body functions.
Baking Soda SolutionWeak Base8–9Contains sodium bicarbonate and neutralizes acids.
ToothpasteWeak Base8–10Helps neutralize acids in the mouth.
Milk of MagnesiaWeak Base10–11Used as an antacid to relieve acidity.
Ammonia SolutionModerate Base11–12Commonly used in cleaning products.
Soap SolutionBase9–10Alkaline in nature and effective for cleaning.
Sodium Hydroxide (NaOH)Strong Base13–14Highly alkaline substance used in industries.

pH Scale at a Glance

pH RangeNature
0–3Strongly Acidic
4–6Weakly Acidic
7Neutral
8–10Weakly Basic
11–14Strongly Basic

FAQs on pH Value

What is pH? | pH Value and its Use