Acids, Bases and pH

An updated version of this lesson is available at Visionlearning: Acids & Bases

        Water is a funny substance.  It makes possible much of the chemistry that goes on in our bodies and all around us.  But most people take for granted the chemical properties of water.  We've already learned that water molecules are constantly in motion.  And keep in mind that each water molecule carries a dipole, or net charge, across the molecule.  As we saw in the atomic bonding lesson, this dipole causes each molecule to behave like a little magnet with a positive and negative end.  This dipole causes water molecules to be attracted to each other; the positive hydrogen is attracted to the negative oxygen of a nearby molecule.  The MathMol Water and Ice page has put together an excellent simulation of the attraction between 2 water molecules that you can view by clicking here (~160k movie) (Note: white = H, red = O).
        Because the oxygen atom in water tends to monopolize the electrons in the molecule, the hydrogen protons are only loosely held to the molecule.  The attraction between adjacent water molecules allows them to swap hydrogen protons.  In fact, many molecules that contain hydrogen can swap protons with water molecules.  A simulation of a proton transfer between a molecule of water and a molecule of formic acid is available by clicking here (~158k; white = H, red = O).
        When one water molecule picks up a positively charged hydrogen proton it momentarily becomes positively charged.  The water molecule that looses the proton momentarily becomes negatively charged (the hydrogen's 1 electron remains behind).  This is simulated in the animation available below:

(~47k animation opens in a new window)

The result of this proton exchange is that at any given moment 2 water molecules out of every 1 billion are split into a positively charged H3O+ (called hydronium) ion and a negatively charge OH- (called hydroxide) ion.  In a sample of pure water, the concentration of hydronium ions is equal to 1 x 10-7 moles per liter (0.0000001 moles per liter).  In pure water, the number of hydronium ions equals the number of hydroxide ions, so the concentration of hydroxide ions must also equal 1 x 10-7 moles per liter (moles per liter can be abbreviated: M).  This equilibrium between hydronium and hydroxide ions can shift if we mix other substances with water.
        When the compound HCl is dissolved in water it separates into 2 ions: a positively charged hydrogen proton and a negatively charged chlorine ion.  The positively charged hydrogen proton (H+) combines with water and increases the concentration of H3O+ ions, shifting the equilibrium we discussed earlier.  Some of these H3O+ ions recombine with the OH- ions, and our sample becomes acidic because it contains more H3O+ ions than OH- ions.  The original compound that we added, HCl, is said to be an acid because it donates protons (H+) to the mixture.
        Shown below are 2 solutions.  On the left is a solution of pure water in which the concentration of hydronium ions equals the concentration of hydroxide ions.  On the right is the same solution after addition of small amount of acid.  The number of hydronium ions now exceeds the number of hydroxide ions.
 
Neutral Solution: [H3O+] = [OH-] Acid Solution: [H3O+] > [OH-]

        An acid can be defined as a proton donor, a chemical that increases the concentration of hydronium ions in solution.  Conversely, we can define a base as a proton acceptor, a chemical that reduces the concentration of hydronium ions in solution (and increases the concentration of hydroxide ions).
        Acid-base chemistry is an important part of everyday life.  The excess hydronium ions in acids give them interesting properties.  Acids can react with metals and other materials.  The strong acid HCl is produced in your stomach to help digest food.  In dilute concentrations, acids are responsible for the sour taste of lemons, limes, vinegar and other substances.  Bases are also very reactive.  The strong base NaOH is used in many household cleaning agents such as oven cleaner and drain clog-remover.  But how do we measure the concentration of an acid or base?
        The acidity (or basicity) of a solution is measured using the pH scale.  The pH scale corresponds to the concentration of hydronium ions in a solution.  In fact, if you take the exponent of the H3O+ concentration and remove the negative sign, you have the pH of a solution.  For example, in pure water the concentration of hydronium ions is 1 x 10-7 M.  Thus, the pH of a solution of pure water is 7.  The pH scale ranges from 0 to 14, where 7 is considered neutral ([H3O+] = [OH-]), below 7 acidic and above 7 basic.  The further from 7 you are on the pH scale, the more acidic or basic the solution.  For example, a solution with a pH = 1 has a hydronium ion concentration of 1 x 10-1 M (0.1 M).  The table below further illustrates the relationship between hydronium ion concentration and pH.
 

[H3O+] pH [OH-] Example
X 100 0 X 10-14 HCl (4%)
X 10-1 1 X 10-13 Stomach acid
X 10-2 2 X 10-12 Lemon juice
X 10-3 3 X 10-11 Vinegar
X 10-4 4 X 10-10 Soda
X 10-5 5 X 10-9 Rainwater (unpolluted)
X 10-6 6 X 10-8 Milk
X 10-7 7 X 10-7 Pure water
X 10-8 8 X 10-6 Egg whites
X 10-9 9 X 10-5 Baking Soda
X 10-10 10 X 10-4 Ammonia
X 10-11 11 X 10-3
X 10-12 12 X 10-2 Drano®
X 10-13 13 X 10-1 NaOH (4%)
X 10-14 14 X 100
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Copyright © 1998-1999, All Rights Reserved, Anthony Carpi
The water-dimer animation is courtesy of the MathMol site
The formic acid/proton transfer animation is property of the van Gunsteren Group