Chemistry 12
UNIT IV - ACIDS AND BASESver 1.2
I.CHARACTERISTICS OF ACIDS AND BASES
II.THE ARRHENIUS THEORY OF ACIDS AND BASES
Named after Svente Arrhenius who received the Nobel prize in Chemistry in 1903 for his work with electrolytes. He was one of the first chemists to develop a complete definition of acids and bases.
ARRHENIUS THEORY
ACID
BASE
SALT
To simplify his theory:
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NEUTRALIZATION REACTION REVIEW
Ex. Write the neutralization reaction between H3PO4 and calcium hydroxide.
Try: Write the neutralization reaction between magnesium hydroxide and hydrogen iodide.
Consider the following neutralization reaction:
The complete ionic equation would be:
The net ionic equation would be:
DESCRIPTIVE DEFINITIONS OF ACIDS AND BASES
All acids have certain properties in common, as do all bases.
ACIDS
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BASES
Litmus is a special type of paper that turns colour in the presence of acids or bases, important to know and easily memorized by:
COMMON ACIDS
1. SULPHURIC
ACID
2. HYDROCHLORIC
ACID
3. NITRIC
ACID
4. ACETIC
ACID
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COMMON BASES
1. SODIUM
HYDROXIDE
2. POTASSIUM
HYDROXIDE
3. AMMONIA
THE NATURE OF H+
Hydrogen AtomWater
Now, dissociation equations for Acids look slightly different:
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III.BRONSTED-LOWRY THEORY OF ACIDS AND BASES
The theory set forth by Arrhenius worked well, however it did not take into consideration the equilibrium reactions that occurred in acids and bases, so another theory was needed. The Bronsted-Lowry Theory is more general and incorporates Arrhenius’ theory into a larger scheme.
BRONSTED-LOWRY THEORY
To state it more simply,
Consider the following typical Bronsted-Lowry acid base equation:
The trick to determining which is the acid and which is the base is to look at the reactant side of the equation. Pick one of the chemical species. Find a similar looking species (having a similar composition) on the product side.
Ex. Identify the Acid and the Base in the following reaction:
CH3COOH + H2O ↔ CH3COO- + H3O+
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Consider the original reaction again:
NH3 + H2O ↔ NH4+ + OH-
Forward reaction:
But look at the reverse reaction:
Ex.
The substances that differ from each other by only one proton are referred to as CONJUGATE ACID BASE PAIRS. In any Bronsted-Lowry equation there are two conjugate acid base pairs.
Ex.
Ex. What is the conjugate base of:
- H2Oc. HN3
b. HNO2d. HSO4-
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Ex. What is the conjugate acid of:
- OH-c. PO43-
b.HC2O4-d. HSO4-
Ex. Identify the conjugate acid base pairs and state which is the acid and which is the base:
- HNO3+ H2O ↔ NO3- + H3O+
- HCO3- + SO32- ↔ CO32- + HSO3-
Ex. Write the Bronsted-Lowry equations for the reaction between:
- HCN- and F-
b. NO2- and HSO3-
WATER
Consider the following two Bronsted-Lowry equilibrium:
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MONOPROTIC
ACID
DIPROTIC
ACID
TRIPROTIC
ACID
Note that diprotic and triprotic acids that have donated a proton can be AMPHIPROTIC
RECOGNIZING AMPHIPROTIC SUBSTANCES
IV.STRENGTHS OF ACIDS AND BASES
STRONG ACIDS
AND BASES
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WEAK ACIDS
ANDS BASES
Don’t confuse the terms STRONG and CONCENTRATED
The relative strength of an acid or base can be determined by looking at the appropriate chart (Relative Strengths of Bronsted-Lowry Acids and Bases)
STRONG ACIDS
STRONG BASES
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WEAK ACIDS
Ex. Rank the following acids in strength, from strongest to weakest:
H2O HI HF H2CO3 H3PO4
WEAK BASES
Ex: Rank the following bases in order from strongest to weakest:
C2O42- OH- NH3 SO42-CO32-
Note – the relationship between conjugate pairs and relative strength.
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IMPORTANT
LEVELLING EFFECT
Consider the following example. 1.0 M aqueous solutions were prepared of four different acids.
1.0 M HClO4 produced:
1.0M HCl produced:
1.0M HF produced:
1.0M CH3COOH produced:
The strong acids:
The weak acids:
Strong acids are 100 % dissociated in water to form H3O+ and an anion. Water is said to have LEVELLED all the strong acids to the same strength.
Note- recall the electrolytes conduct electricity due to ions being present in solution. The greater the
concentration of ions, the more conductive the solution. So,
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V.EQUILIBRIUM CONSTANT FOR THE IONIZATION OF WATER
A solution can be classified as acidic, basic, or neutral based on the relative concentrations of H3O+ and OH-.
IONIZATION OF WATER
The reaction between a Strong acid and Strong base
Even if no acid or base is present, pure water will always contain small amounts of H3O+ and OH-.
This is a result of collisions between water molecules.
An equilibrium constant for this reaction can be written as:
Since water is a pure liquid, the concentration of H2O is a constant at a given temperature, and so it is incorporated into the Keq value.
The value of Kw varies only with temperature. Unless otherwise stated, assume that:
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Ex. What is the [H3O+] in pure water?
Ex. What is the [OH-] in 0.25 M HCl?
Try: What is the [H3O+] in 0.0075 M NaOH?
VI.pH and pOH
When working with dilute solutions of strong or weak acids or bases, the [H3O+] or [OH-] can be very small (often less than ______). With such small concentrations, it can oftenbe difficult to compare them, so new units were developed to make it easier for comparisons to be made. The new units were pH and pOH.
Quick math lesson – logarithms
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CONVERTING FROM [H3O+] and [OH-] to pH and pOH.
Ex. If the hydronium ion concentration is 4.67 x 10-5 M, what is the pH?
Ex. If the hydroxide ion concentration is 2.83 x 10-6 M, what is the pOH?
Consider the following:
pH = - log[H3O+]
To perform the calculation on a calculator:
CONVERTING FROM pH and pOH to [H3O+] and [OH-].
Ex. If the pH is 3.17, what is the hydronium ion concentration?
Ex. If the pOH = 5.32, what is the hydroxide ion concentration?
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There is a very important relationship between pH, pOH, and Kw.
Start with the Kw expression.
Using the following chart (showing the relationships between H3O+, OH-, pH, and pOH, you can work back and forth between any of the values.
PH FACTORS TO REMEMBER
1. It is an important fact to realize that since pH and pOH are logarithmic scales, a difference in one
pH or pOH unit is equivalent to a 10 fold difference in concentration of the ion.
pH scale
[H3O+]
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2. pH and significant figures are slightly different than significant figures in other calculations.
Ex. How many significant figures in pH = 4.14?
Take the following example:
[H3O+] = 5.28 x 10-5 M
3. Since pH and pOH are the negative of the exponent,
Low pH and pOH values
High pH and pOH values
4. At 25oC
5. It is possible to have negative pH values, although this will only occur in concentrated strong acids.
Recall that the pH scale was developed to express and compare SMALL [H3O+], so negative pH
values are of little use.
Ex.
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VII.MIXING STRONG ACIDS AND BASES
When a strong acid and base are mixed, a neutralization reaction occurs. The resulting solution may be acidic, basic, or neutral depending on the relative amounts of each of the reactants that were used.
(recall limiting reactant calculations from Chemistry 11)
Ex. What is the pH that results when 25.0 mL of 0.250 M HCl is mixed with 35.0 mL of
0.200 M NaOH?
Try: What is the resulting pH of a solution made by mixing 45.0 mL of 0.450 M KOH with 75.0 mL
of 0.275 M HClO4?
CALCULATING MOLES OF ACID NEEDED TO REACH A DESIRED pH
Ex. How many moles of HCl(g) must be added to 40.0 mL of 0.180 M NaOH to produce a solution
that has a pH of 12.500? Assume that there is no change in volume when the HCl is added.
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VIII.ACID AND BASE EQUILIBRIUM CONSTANTS
Weak acids and bases are represented as equilibrium systems as they do not completely dissociate.
ACID
IONIZATION
CONSTANT
To find the Ka values, look down the LEFT side (the acid side) of the Strengths of Acids table and find the species that you are looking for that is acting as an acid.
Ka values for a STRONG acid are not listed in the table of Strengths of Acids. Since they are 100 % ionized, the concentration of the un-ionized acid in the denominator of the Ka expression would be zero.
BASE
IONIZATION
CONSTANT
The table of Strengths of acids does not list the values of Kb, but these can be calculated using the Ka values given in the table.
There is a very important relationship existing between Ka and Kb for CONJUGATE ACID BASE PAIRS.
Consider the following reaction:
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CALCULATING Kb from Ka
Ex. Calculate the Kb for C2O42-.
Try: Calculate the Kb for NO2-.
Note – because of the relationship between the acid and base ionization constants:
IX.RELATIVE STRENGTHS OF ACIDS AND BASES
If solutions containing H2CO3 and SO32- are mixed, the SO32- can only act as a base since it has no protons that it can donate.
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Note that all Bronsted-Lowry reactions that are studied in Chemistry 12 will only involve the transfer of a single proton. There won’t be two or three proton transfers such as :
If solutions containing amphiprotic ions such as HCO3- and H2PO4- are mixed:
In the following equilibrium:
H2CO3 + SO32- ↔ HCO3- + HSO3-
There are two conjugate acid base pairs and there is a ‘competition’ set up as to which of the acids (H2CO3 or HSO3-) will donate their proton.
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X.SALT HYDROLYSIS
Salts consist of a cation (positive ion) and an anion (negative ion). Many salt contain an ion that can react with water.
HYDROLYSIS
In this section we will deal only with the reactions between ions and water. Reactions between ions may occur, but they are not being considered at the moment.
Before looking at ions that will react we will first look at ions that won’t react with water:
Recall SPECTATOR
IONS
When considering the hydrolysis of ions, the following ions do NOT hydrolyze:
SPECTATOR
CATIONS
SPECTATOR
ANIONS
When an ion hydrolyzes it is simply acting as a Bronsted-Lowry acid or base with water.
ANIONIC HYDROLYSIS
If the anion (- ion) of the salt hydrolyzes:
CATIONIC HYDROLYSIS
If the cation (+ ion) of the salt hydrolyzes:
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PROCEDURE TO DETERMINE THE BEHAVIOUR OF A SALT IN WATER
Ex. Predict if each of the following salts will hydrolyze in water. If so, write the hydrolysis equation
for the reaction.
- NaCl
- NH4Cl
- KF
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- NH4NO2
e. NaHCO3
METAL IONS
Some metal ions tend to form hydrated complexes, where water molecules join up and form a polyatomic ion consisting of a central metal ion with water molecules attached. This is because:
Any time you see a metal ion with water molecules attached, it will be located on the Table of Acid Strengths. NEVER split off the water molecules and attempt to show the metal ion separately.
Ex.
Metal ions from Group 1 and 2 (except Be2+) do not hydrolyze. The most common metal ions that you will see in a hydrolysis reaction are:
METAL OXIDES
When a metal oxide is added to water, there is an initial dissociation of ions.
Ex.
Ex.
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The metal ions are spectator ions and the oxide ion is a ______. The reaction for the
hydrolysis of the oxide ion is:
Since both metal and hydroxide ions are present in solution, the hydrolysis can be written as:
NON-METAL OXIDES
When a nonmetal oxide reacts with water, the water tends to bond to the existing oxide
molecule to produce ______.
Ex.
Ex.
Ex.
SUMMARY
XI.CALCULATIONS INVOLVING Ka
The following information is involved in a Ka problem:
1.
2.
3.
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So, there are only three types of Ka problems that can be asked:
1.
2.
3.
USING INITIAL CONCETRATION OF ACID AND Ka TO DETERMINE [H3O+] OR pH
Ex. Calculate the pH of a 0.75 M acetic acid solution
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CALCULATING Ka FROM [H3O+] or pH
Ex. If the pH of 0.100 M HCHO2 is 2.38 at 25oC, calculate Ka.
FINDING THE INTIIAL CONCENTRATION OF A WEAK ACID
Ex. What mass of NH4Cl will produce 1.50 L of a solution having a pH of 4.75?
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XII.CALCULATIONS INVOLVING Kb
When a weak base is put into water, some of the base ionizes. As a result of the ionization, a certain amount of hydroxide will be produced. The smaller the value of Kb for the particular base, the less ionization that occurs, the less OH- formed.
Calculations involving weak bases are similar to the calculations involving weak acids, with two important differences:
USING INITIAL CONCETRATION OF BASE AND Kb TO DETERMINE pH
Ex. Calculate the pH of 0.10 M NaCN.
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CALCULATING Kb FROM pOH or pH
Ex. The pOH of a 0.50 M solution of the weak acid HA is 10.64. What is Kb for the
conjugate base A-?
XIII.ACID BASE TITRATIONS
Recall: A titration is a process in which a measured amount of a solution is reacted with a known volume of another solution (and one of the solutions has an unknown concentration) until the ‘equivalence point’ (also known as stoichiometric point) is reached.
EQUIVALENCE
POINT
Recall: MOLARITY
ALL titration problems involve at least FIVE PARAMETERS
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If the reaction equation is given, the ratio of acid to base is read directly from the BALANCED equation, so that on of the concentrations or volumes is the unknown. These problems have three parts/ steps to the calculations:
Note – pay special attention to significant digits with titration calculations, as the purpose of titration
calculations are to get accurate and precise values (often dealing with low concentrations). As
such, watch your rounding. Try not to round too much until the entire question is completed.
CALCULATING CONCENTRATION FROM A TITRATION.
Ex.In the reaction H2SO4 + 2 NaOH Na2SO4 + 2 H2O
An average of 23.10 mL of 0.2055 M NaOH was needed to titrate a 25.00 mL sample of
H2SO4 to it’s equivalence point over three trials. What is the [H2SO4]?
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CALCULATING PERCENT PURITY
Titrations can also be used to calculate the purity of an unknown sample. Purity titration calculations follow these steps:
Ex. A 3.4786 g sample of impure NaHSO4 is diluted to 250.0 mL. A 25.00 mL sample of the
solution is titrated with 26.77 mL of 0.09975 M NaOH. What is the percent purity of
the NaHSO4?
CALCULATING MOLAR MASS
Titrations can also be used to calculate the molar mass of an unknown acid or base, as long as one piece of information is given ______. By using the titration data it is possible to calculate the moles of the acid or the base. The molar mass can then be determined using the mass of sample of moles of sample determined.
Ex. A 3.2357 g sample of unknown monoprotic acid is diluted to 250.0 mL. A 25.00 mL sample
of the acid solution is titrated with 16.94 mL of 0.1208 M KOH. What is the molar mass
of the acid?
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XIV.INDICATORS
INDICATOR
Indicators tend to be quite complex molecules, so their names are represented by an abbreviation. The acid form of an indicator is symbolized as HIn, and the base form as In-. Since an indicator is a weak acid or base, the equilibrium can be written as:
IN ACID
When an indicator is put into an acid, the excess [H3O+] shifts the equilibrium of the indicator according to Le Chatalier’s principle.
IN BASE
When an indicator is put into a base, the [H3O+] is so low that it causes a shift in the equilibrium of the indicator.
When a base is added to an acidic solution, then eventually at some point [Hin] = [In-] therefore there is an equal number of each molecule.
Ex.
This point is called the END POINT or TRANSITION POINT for the indicator.
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At the END POINT:
At the transition point of any indicator, the following are true:
Note – You will be given a table called ‘Acid-Base’ indicators for all exams, and one is present in
your text. There are numerous indicators, each of which changes colour at a different pH
([H3O+]). The colour however, doesn’t instantly change at a certain pH, rather it changes
colour over a range of about 2 pH units (doesn’t list Kin values).
Ex. Bromothymol blue changes from yellow (acid form) to blue (base form) at a pH range of
6.0 to 7.6.
The midpoint is considered to be the average of the two values.
– The END POINT is the point in the titration where the colour of the indicator changes. The
EQUIVALENCE POINT is the point is the titration where the stoichiometry of the reaction
is exactly equal (according to the coefficient ratio). An indicator needs to be chosen for a
reaction. If the indicator is chosen correctly, the indicator should change colour at (or very
close to) the equivalence point so there is a negligible difference between the end point and
the equivalence point. If the indicator is chosen poorly, it will change colour at a
substantially different point than the equivalence point.
USING THE INDICATOR TABLE TO CALCULATE THE Kin OF AN INDICATOR
Ex. What is the Kin for phenolphthalein?
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USING INDICATORS TO DETERMINE THE pH OF A SOLUTION
Ex. What is the approximate pH range of a solution that will change methyl red yellow,
and neutral red red?
PREDICTING THE COLOUR OF INDICATORS AT VARIOUS pH
Ex. What colour will each of the following indicators be in a solution of pH 3.5?
methyl Violet
methyl Orange
phenol red
thymol blue
Try: What colour is alizarin yellow in 1 x 10-5 M NaOH?
XV.TITRATION CURVES
In order to carry out a titration, you need to have a standard solution with an accurately known concentration.
STANDARD
SOLUTION
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Standard solutions can be prepared in two main ways:
GRAPHS – TITRATION CURVES
You will need to be able to look at the details of the shapes of a titration curve and be able to give information about each one. There are 3 main types.
A. TITRATION OF A STRONG ACID WITH A STRONG BASE
Titrations of a strong acid with a strong base follow the general curve:
VB =
pH =
The salt =
The indicator =
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B. TITRATION OF A WEAK ACID WITH A STRONG BASE
The following curve is typical when a weak acid is titrated with a strong base.
pHinit =
VB =
V1/2 =
pH1/2 =
Equivalence point =
Indicator =
Calculating the Value of Ka
Calculating the concentration of the weak acid
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Ex. The following data is obtained when a solution of furoic acid (C4H3O)COOH is titrated with
NaOH.
Volume of furoic acid = 25.0 mL
Volume of NaOH to reach equivalence point = 28.8 mL
Initial pH of furoic acid solution = 2.021
pH at 14.4 mL point of titration = 3.170
a. Calculate the Ka for furoic acid
b. Calculate the initial concentration of furoic acid
c. Calculate the [NaOH] used.
d. Is the titration mixture acidic, neutral, or basic at the equivalence point?
e. Suggest a suitable indicator for the titration.
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C. TITRATION OF A WEAK BASE WITH A STRONG ACID
The following titration curve is typical of when a weak base is titrated with a strong acid.