10.1 Arrhenius Definition of Acids and Bases

10.1 Arrhenius Definition of Acids and Bases

Learning Objective

  1. Recognize a compound as an Arrhenius acid or an Arrhenius base.

One way to define a class of compounds is by describing the various characteristics its members have in common. In the case of acids, the common characteristics include a sour taste, the ability to change the color of litmus to red, and the ability to react with certain metals, eroding the metal and producing hydrogen gas and an ionic compound. For bases, the common characteristics are a slippery texture, a bitter taste, and the ability to change the color of litmus to blue.  Acids and bases also react with each other in neutralization reactions, forming water and ionic compounds, also known as salts.

Indicators are compounds that exhibit different colors when placed in solutions with different acid/base (pH) balances.  As described in the previous paragraph, litmus, a compound obtained from lichens, is an indicator because it is blue when in a basic solutions and red when in an acidic solution. Juice from purple cabbage is another natural indicator, and it exhibits a wide range of colors based on the pH it experiences as seen in Figure 10.1 below.  Other indicators include phenolphthalein and  bromothymol blue.  Indicaotrs are often used in titration, a measured form of  neutralization reaction, to visually indicate that the moles of acid and moles of base are balanced at the equivalence point.

Figure 10.1 Purple Cabbage Juice Indicator at Various pH Levels.  Attribution: By Indikator-Blaukraut.JPG: Supermartlderivative work: Haltopub (Indikator-Blaukraut.JPG) [CC BY-SA 3.0 (https://creativecommons.org/licenses/by-sa/3.0) or GFDL (http://www.gnu.org/copyleft/fdl.html)], via Wikimedia Commons

Note

Although tastes are included among the common characteristics of acids and bases, never taste an unknown chemical!

Chemists define acids and bases in terms of their chemical properties, but the definitions differ in models developed at different times.  The Swedish chemist Svante Arrhenius developed the first chemical definitions of acids and bases in the late 1800s. Arrhenius defined an acid as a compound that increases the concentration of hydrogen ion (H+) in aqueous solution. Many acids are simple compounds that release a hydrogen cation into solution when they dissolve. Similarly, Arrhenius defined a base as a compound that increases the concentration of hydroxide ion (OH) in aqueous solution. Many bases are ionic compounds that have the hydroxide ion as their anion, which is released when the base dissolves in water.

Many bases and their aqueous solutions are named using the normal rules of ionic compounds that were presented in Chapter 3 “Ionic Bonding and Simple Ionic Compounds”, Section 3.4 “Ionic Nomenclature”.  For example, the name sodium hydroxide (NaOH) is used as the name of the ionic compound and for an aqueous solution of the compound.

However, aqueous solutions of binary acids, compounds with hydrogen and one other element in their formula, have one name for the compound alone and a different name when the compound is dissolved in water. Such a compound alone is named hydrogen                        ide with the blank being filled with the element’s root name.  For example, HCl not dissolved in water is hydrogen chloride.But when hydrogen chloride dissolves in water, its name changes to hydrochloric acid, following the pattern hydro                   ic acid, again with the blank being replaced by the element’s root name.

Acids composed of more than two elements, typically one to three hydrogen atoms with a polyatomic ion. The name of an oxyacid is based on the name of the polyatomic ion.  If the polyatomic ion name ends with -ate, name of its acid will end in -ic acid.  If the polyatomic ion mane ends in -ite, the name of the acid ends in -ous acid.   For example HNO3 is nitric acid because it contains the nitrate polyatomic ion.  HNO2 is nitrous acid because it contains the polyatomic ion nitrite.

. Table 10.1 “Formulas and Names for Some Acids and Bases” lists some acids and bases and their names. Note that acids have hydrogen written first, as if it were the cation, while bases that have the negative hydroxide ion have it written last.

Note

The name oxygen comes from the Latin meaning “acid producer” because its discoverer, Antoine Lavoisier, thought it was the essential element in acids. Lavoisier was wrong, but it is too late to change the name now.

Table 10.1 Formulas and Names for Some Acids and Bases

Formula Name
Acids
HCl(aq) hydrochloric acid
HBr(aq) hydrobromic acid
HI(aq) hydriodic acid
H2S(aq) hydrosulfuric acid
HC2H3O2(aq) acetic acid
HNO3(aq) nitric acid
HNO2(aq) nitrous acid
H2SO4(aq) sulfuric acid
H2SO3(aq) sulfurous acid
HClO3(aq) chloric acid
HClO4(aq) perchloric acid
HClO2(aq) chlorous acid
H3PO4(aq) phosphoric acid
H3PO3(aq) phosphorous acid
Bases
NaOH(aq) sodium hydroxide
KOH(aq) potassium hydroxide
Mg(OH)2(aq) magnesium hydroxide
Ca(OH)2(aq) calcium hydroxide
NH3(aq) ammonia

Example 1

Name each substance.

  1. HF(aq)
  2. Sr(OH)2(aq)

Solution

  1. This acid has only two elements in its formula, so its name includes the hydro– prefix. The stem of the other element’s name, fluorine, is fluor, followed by  the –ic acid ending. Its name is hydrofluoric acid.
  2. This base is named as an ionic compound between the strontium ion and the hydroxide ion: strontium hydroxide.

Skill-Building Exercise

  1. H2Se(aq)

  2. Ba(OH)2(aq)

Notice that one base listed in Table 10.1 “Formulas and Names for Some Acids and Bases”—ammonia—does not have hydroxide as part of its formula. How does this compound increase the amount of hydroxide ion in aqueous solution? Instead of dissociating into hydroxide ions, ammonia molecules react with water molecules by taking a hydrogen ion from the water molecule to produce an ammonium ion and a hydroxide ion:

NH3(aq) + H2O(ℓ) ⇆ NH4+(aq) + OH(aq)

Because this reaction of ammonia with water causes an increase in the concentration of hydroxide ions in solution, ammonia satisfies the Arrhenius definition of a base. Many other nitrogen-containing compounds are bases because they too react with water to produce hydroxide ions in aqueous solution.

As noted previously, acids and bases react chemically with each other to form salts. A salt is a general chemical term for any ionic compound formed from an acid and a base. In reactions where the acid is a hydrogen ion containing compound and the base is a hydroxide ion containing compound, water is also a product. The general reaction is as follows:

acid + base → water + salt

The reaction of acid and base to make water and a salt is called neutralization. Like any chemical equation, a neutralization chemical equation must be properly balanced. For example, the neutralization reaction between sodium hydroxide and hydrochloric acid is as follows:

NaOH(aq) + HCl(aq) → NaCl(aq) + H2O(ℓ)

with coefficients all understood to be one. The neutralization reaction between sodium hydroxide and sulfuric acid is as follows:

2NaOH(aq) + H2SO4(aq) → Na2SO4(aq) + 2H2O(ℓ)

Once a neutralization reaction is properly balanced, it can be used to perform stoichiometry calculations, such as the ones  in Chapter 5 “Introduction to Chemical Reactions” and Chapter 6 “Quantities in Chemical Reactions”.

Example 2

Nitric acid, HNO3(aq), can be neutralized by calcium hydroxide Ca(OH)2(aq).

  1. Write a balanced chemical equation for the reaction between these two compounds and identify the salt it produces.
  2. For one reaction, 16.8 g of HNO3 is present initially. How many grams of Ca(OH)2 are needed to neutralize that much HNO3?
  3. In a second reaction, 805 mL of 0.672 M Ca(OH)2 is present initially. What volume of 0.432 M HNO3 solution is necessary to neutralize the Ca(OH)2 solution?

Solution

  1. Because there are two OH ions in the formula for Ca(OH)2, we need two moles of HNO3 to provide enough H+ ions. The balanced chemical equation is as follows:

    Ca(OH)2(aq) + 2HNO3(aq) → Ca(NO3)2(aq) + 2H2O(ℓ)

    The salt formed is calcium nitrate.

  2. This calculation is much like the calculations in Chapter 6 “Quantities in Chemical Reactions”. First convert the mass of HNO3 to moles using its molar mass of 1.01 + 14.00 + 3(16.00) = 63.01 g/mol; then use the balanced chemical equation to determine the related number of moles of Ca(OH)2 needed to neutralize it; and then convert that number of moles of Ca(OH)2 to the mass of Ca(OH)2 using its molar mass of 40.08 + 2(1.01) + 2(16.00) = 74.10 g/mol.

    [latex]16.8\text{ g HNO}_3\times{\frac{1\text{ mol HNO}_3}{63.01\text{ gHNO}_3}}\times\frac{{1\text{ mol Ca(OH)}_2}}{2\text{ mol HNO}_3}\times{\frac{74.10\text{ g Ca(OH)}_2}{1\text{ mol Ca(OH)}_2}}=9.88\text{ g Ca(OH)}_2[/latex]

  3. Having concentration information allows use of skills from  Chapter 9 “Solutions”. First, use the concentration and volume data to determine the number of moles of Ca(OH)2 present. Recognizing that 805 mL = 0.805 L,

    [latex]0.805\text{ L Ca(OH)}_2\text{ solution}\times{\frac{0.672\text{ mol Ca(OH)}_2}{1\text{ L Ca(OH)}_2\text{ solution}}}\times{\frac{2\text{ mol HNO}_3}{1\text{ mol Ca(OH)}_2}}\times{\frac{1\text{ L HNO}_3\text{ solution}}{0.432\text{ mol HNO}_3}}=2.50\text{ L}[/latex]                                                                                     

    If the volume is required in mL, 2.50 x 103 mL expresses the correct value to the correct number of sig figs.

Skill-Building Exercise

  1. Write a balanced chemical equation for the reaction between these two compounds and identify the salt it produces.

  2. For one reaction, 37.5 g of HCN is present initially. How many grams of KOH are needed to neutralize that much HCN?

  3. In a second reaction, 43.0 mL of 0.0663 M KOH is present initially. What volume of 0.107 M HCN solution is necessary to neutralize the KOH solution?

Note

Hydrocyanic acid (HCN) is one exception to the acid-naming rules that specify using the prefix hydro- for binary acids (acids composed of hydrogen and only one other element).

Concept Review Exercises

  1. Give the Arrhenius definitions of an acid and a base.

  2. What is neutralization?

Answers

  1. Arrhenius acid: a compound that increases the concentration of hydrogen ion (H+) in aqueous solution; Arrhenius base: a compound that increases the concentration of hydroxide ion (OH) in aqueous solution.

  2. the reaction of an acid and a base

Key Takeaway

  • An Arrhenius acid increases the H+ ion concentration in water, while an Arrhenius base increases the OH ion concentration in water.

Exercises

  1. Give two examples of Arrhenius acids.

  2. Give two examples of Arrhenius bases.

  3. List the general properties of acids.

  4. List the general properties of bases.

  5. Name each compound.

    1. HBr(aq)
    2. Ca(OH)2(aq)
    3. HNO3(aq)
    4. Fe(OH)3(aq)
  6. Name each compound.

    1. HI(aq)
    2. Cu(OH)2(aq)
    3. H3PO4(aq)
    4. CsOH(aq)

  7. Write a balanced chemical equation for the neutralization of Ba(OH)2(aq) with HNO3(aq).

  8. Write a balanced chemical equation for the neutralization of H2SO4(aq) with Cr(OH)3(aq).

  9. How many moles of sodium hydroxide (NaOH) are needed to neutralize 0.844 mol of acetic acid (HC2H3O2)? (Hint: begin by writing a balanced chemical equation for the process.)

  10. How many moles of perchloric acid (HClO4) are needed to neutralize 0.052 mol of calcium hydroxide [Ca(OH)2]? (Hint: begin by writing a balanced chemical equation for the process.)

  11. Hydrazoic acid (HN3) can be neutralized by a base.

    1. Write the balanced chemical equation for the reaction between hydrazoic acid and calcium hydroxide.
    2. How many milliliters of 0.0245 M Ca(OH)2 are needed to neutralize 0.564 g of HN3?
  12. Citric acid (H3C6H5O7) has three hydrogen atoms that can form hydrogen ions in solution.

    1. Write the balanced chemical equation for the reaction between citric acid and sodium hydroxide.
    2. If an orange contains 0.0675 g of H3C6H5O7, how many milliliters of 0.00332 M NaOH solution are needed to neutralize the acid?
  13. Magnesium hydroxide [Mg(OH)2] is an ingredient in some antacids. How many grams of Mg(OH)2 are needed to neutralize the acid in 158 mL of 0.106 M HCl(aq)? It might help to write the balanced chemical equation first.

  14. Aluminum hydroxide [Al(OH)3] is an ingredient in some antacids. How many grams of Al(OH)3 are needed to neutralize the acid in 96.5 mL of 0.556 M H2SO4(aq)? It might help to write the balanced chemical equation first.

Answers

1. HCl and HNO3 (answers will vary)

3. sour taste, react with metals, react with bases, and turn litmus red

5. a. hydrobromic acid

b. calcium hydroxide

c. nitric acid

d. iron(III) hydroxide

7. 2HNO3(aq) + Ba(OH)2(aq) → Ba(NO3)2(aq) + 2H2O

9. 0.844 mol

11. a. 2HN3(aq) + Ca(OH)2 → Ca(N3)2 + 2H2O

b. 268 mL

13. 0.488 g