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- An acid is any substance that releases hydrogen ions, H+,
into water.
- Blue litmus paper turns red in the presence of hydrogen ions. Blue litmus is used to test for acids.
- Acids have a sour taste; lemons, limes, and vinegar are acidic.
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- A base is a substance that releases hydroxide ions, OH –,
into water.
- Red litmus paper turns blue in the presence of hydroxide ions. Red litmus is used to test for bases.
- Bases have a slippery, soapy feel.
- Bases also have a bitter taste; milk of magnesia is a base.
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- Recall that an acid and a base react with each other in a neutralization
reaction.
- When an acid and a base react, water and a salt are produced.
- For example, nitric acid reacts with sodium hydroxide to produce sodium
nitrate and water:
- HNO3(aq) + NaOH(aq) → NaNO3(aq) + H2O(l)
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- A pH value expresses the acidity or basicity of a solution.
- Most solutions have a pH between 0 and 14.
- Acidic solutions have a pH less than 7.
- As a solution becomes more acidic, the pH decreases.
- Basic solutions have a pH greater than 7.
- As a solution becomes more basic, the pH increases.
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- A solution can be classified according to its pH:
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- A buffer is a solution that resists changes in pH when an acid or a base
is added.
- A buffer is a solution of a weak acid and one of its salts:
- Citric acid and sodium citrate make a buffer solution
- When acid is added to the buffer, the citrate reacts with the acid to
neutralize it.
- When base is added to the buffer, the citric acid reacts with the base
to neutralize it.
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- Svante Arrhenius proposed the following definitions for acids and bases
in 1884:
- An Arrhenius acid is a substance that ionizes in water to produce
hydrogen ions.
- An Arrhenius base is a substance that ionizes in water to release
hydroxide ions.
- For example, HCl is an Arrhenius acid and NaOH is an Arrhenius base.
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- Acids have varying strengths.
- The strength of an Arrhenius acid is measured by the degree of
ionization in solution.
- Ionization is the process where polar compounds separate into cations
and anions in solution.
- The acid HCl ionizes into H+ and Cl– ions in
solution.
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- Bases also have varying strengths.
- The strength of an Arrhenius base is measured by the degree of
dissociation in solution.
- Dissociation is the process where cations and anions in an ionic
compound separate in solution.
- A formula unit of NaOH dissociates into Na+ and OH–
ions in solution.
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- Strong acids ionize extensively to release hydrogen ions into solution.
- HCl is a strong acid and ionizes nearly 100%
- Weak acids only ionize slightly in solution.
- HF is a weak acid and ionizes only about 1%
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- All Arrhenius acids have a hydrogen atom bonded to the rest of the
molecule by a polar bond. This
bond is broken when the acid ionizes.
- Polar water molecules help ionize the acid by pulling the hydrogen atom
away:
- HCl(aq) + H2O(l) → H3O+(aq) + Cl–(aq) (~100%)
- HC2H3O2(aq) + H2O(l) → H3O+(aq) + C2H3O2–(aq) (~1%)
- The hydronium ion, H3O+, is formed when the
aqueous hydrogen ion attaches to a water molecule.
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- Strong bases dissociate extensively to release hydroxide ions into
solution.
- NaOH is a strong base and dissociates nearly 100%
- Weak bases only ionize slightly in solution.
- NH4OH is a weak base and only partially dissociates
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- When we dissolve Arrhenius bases in solution, they dissociate giving a
cation and a hydroxide anion.
- Strong bases dissociate almost fully and weak bases dissociate very
little:
- NaOH(aq) → Na+(aq) + OH–(aq) (~100%)
- NH4OH(aq) → NH4+(aq) + OH–(aq) (~1%)
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- Recall, an acid neutralizes a base to produce a salt and water.
- HCl(aq) + NaOH(aq) → NaCl(aq) + H2O(l)
- The reaction produces the aqueous salt NaCl.
- If we have an acid with two hydrogens (sulfuric acid, H2SO4),
we need two hydroxide ions to neutralize it.
- H2SO4(aq) + 2 NaOH(aq) → Na2SO4(aq)
+ 2 H2O(l)
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- We can identify the Arrhenius acid and base that react in a
neutralization reaction to produce a given salt such as calcium sulfate,
CaSO4.
- The calcium must be from calcium hydroxide, Ca(OH)2, and the
sulfate must be from sulfuric acid, H2SO4.
- H2SO4(aq) + Ca(OH)2(aq) → CaSO4(aq)
+ 2 H2O(l)
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- The Brønsted-Lowry definitions of acids and bases are broader than the
Arrhenius definitions.
- A Brønsted-Lowry acid is a substance that donates a hydrogen ion to any
other substance. It is a proton
donor.
- A Brønsted-Lowry base is a substance that accepts a hydrogen ion. It is a proton acceptor.
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- Lets look at two acid/base reactions:
- HCl(aq) + NaOH(aq) → NaCl(aq) + H2O(l)
- HCl(aq) + NH3(aq) → NH4Cl(aq)
- HCl donates a proton in both reactions and is a Brønsted-Lowry acid.
- In the first reaction, the NaOH accepts a proton and is the Brønsted-Lowry
base.
- In the second reaction, NH3 accepts a proton and is the Brønsted-Lowry
base.
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- A substance that is capable of both donating and accepting a proton is
an amphiprotic compound.
- NaHCO3 is an example:
- HCl(aq) + NaHCO3(aq) → NaCl(aq) + H2CO3(aq)
- NaOH(aq) + NaHCO3(aq)
→ Na2CO3
(aq) + H2O(l)
- NaHCO3 accepts a proton from HCl in the first reaction and
donates a proton to NaOH in the second reaction.
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- A solution that changes color as the pH changes is an acid-base
indicator.
- Three common indicators are methyl red, bromothymol blue, and
phenolphthalein.
- Each has a different color above and below a certain pH.
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- Shown below are the three indicators at different pH values
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- A titration is used to analyze an acid solution using a solution of a
base.
- A measured volume of base is added to the acid solution. When all of the acid has been
neutralized, the pH is 7. One extra drop of base solution after the
endpoint increases the pH dramatically.
- When the pH increases above 7, phenolphthalein changes from colorless to
pink indicating the endpoint of the titration.
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- Consider the titration of acetic acid with sodium hydroxide. A 10.0 mL
sample of acetic acid requires 37.55 mL of 0.223 M NaOH. What is the concentration of the
acetic acid?
- HC2H3O2(aq) + NaOH(aq) → NaC2H3O2(aq)
+ H2O(l)
- We want concentration acetic acid, we have concentration sodium
hydroxide.
- conc NaOH Þ mol
NaOH Þ
- mol HC2H3O2
Þ conc HC2H3O2
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- The molarity of NaOH can be written as the unit factor 0.233 mol NaOH /
1000 mL solution.
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- A 10.0 mL sample of 0.555 M H2SO4 is titrated with
0.233 M NaOH. What volume of NaOH
is required for the titration?
- We want mL of NaOH, we have 10.0 mL of H2SO4.
- Use 0.555 mol H2SO4/1000 mL and 0.233 mol
NaOH/1000 mL.
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- H2SO4(aq) + 2 NaOH(aq) → Na2SO4(aq) + H2O(l)
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- A standard solution is a solution where the concentration is precisely
known.
- Acid solutions are standardized by neutralizing a weighed quantity of a
solid base.
- What is the molarity of a hydrochloric acid solution if 25.50 mL are
required to neutralize 0.375 g Na2CO3?
- 2 HCl(aq) + Na2CO3(aq) → 2 NaCl(aq) + H2O(l)
+ CO2(g)
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- Water undergoes an autoionization reaction. Two water molecules react to produce a
hydronium ion and a hydroxide ion:
- H2O(l) + H2O(l)
→ H3O+(aq)
+ OH-(aq) or
- H2O(l) → H+(aq) + OH-(aq)
- Only about 1 in 5 million water molecules is present as ions so water is
a weak conductor.
- The concentration of hydrogen ions, [H+], in pure water is
about 1 × 10-7 mol/L at 25°C.
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- Since [H+] is 1 × 10-7 mol/L at 25°C, the hydroxide ion
concentration, [OH-], must also be 1 × 10-7 mol/L
at 25°C:
- H2O(l) → H+(aq) + OH-(aq)
- At 25°C
- [H+][OH-] = (1 × 10-7)(1 × 10-7)
= 1.0 × 10-14
- This is the ionization constant of water, Kw.
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- At 25°C, [H+][OH-]
= 1.0 × 10-14. So, if
we know the [H+], we can calculate [OH-].
- What is the [OH-] if [H+] = 0.1 M ?
- [H+][OH-] = 1.0 × 10-14
- (0.1)[OH-] = 1.0 × 10-14
- [OH-] = 1.0 × 10-13
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- Recall that pH is a measure of the acidity of a solution.
- A neutral solution has a pH of 7, an acidic solution has a pH less than
7, and a basic solution has a pH greater than 7.
- The pH scale uses powers of ten to express the hydrogen ion
concentration.
- Mathematically: pH = –log[H+]
- [H+] is the molar hydrogen ion concentration
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- What is the pH if the hydrogen ion concentration in a vinegar solution
is 0.001 M?
- pH = –log[H+]
- pH = –log(0.001)
- pH = – ( –3) = 3
- The pH of the vinegar is 3, so the vinegar is acidic.
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- If we rearrange the pH equation for [H+], we get:
- Milk has a pH of 6. What is the
concentration of hydrogen ion in milk?
- [H+] = 10–pH = 10–6 = 0.000001 M
- [H+] = 1 × 10–6 M.
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- What is the pH of blood with [H+] = 4.8 × 10–8 M?
- pH = –log[H+] = –log(4.8 × 10–8) = – (–7.32)
- pH = 7.32
- What is the [H+] in orange juice with a pH of 2.75?
- [H+] = 10–pH = 10–2.75 = 0. 0018 M
- [H+] = 2.75 × 10–3 M
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- An aqueous solution that is a good conductor of electricity is a strong
electrolyte.
- An aqueous solution that is a poor conductor of electricity is a weak
electrolyte.
- The greater the degree of ionization or dissociation, the greater the
conductivity of the solution.
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- Weak acids and bases and insoluble ionic compounds are weak
electrolytes.
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- The concept of ionization allows us to portray ionic solutions more
accurately by showing strong electrolytes in their ionized form.
- HCl(aq) + NaOH(aq) → NaCl(aq) + H2O(l)
- Write strong acids and bases and soluble ionic compounds as ions:
- H+(aq) + Cl-(aq) + Na+(aq) + OH-(aq)
→ Na+(aq) + Cl-(aq) + H2O(l)
- This is the total ionic equation.
Each species is written as it predominantly exists in solution.
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- H+(aq) + Cl-(aq) + Na+(aq) + OH-(aq)
→ Na+(aq) + Cl-(aq) + H2O(l)
- Notice that Na+ and Cl- appear on both sides of
the equation. They are spectator
ions.
- Spectator ions are in the solution, but do not participate in the
overall reaction. We can cancel
out the spectator ions to give the net ionic equation.
- The net ionic equation is:
- H+(aq) + OH-(aq)
→ H2O(l)
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- Complete and balance the non-ionized chemical equation.
- Convert the non-ionized equation into the total ionic equation
- Write strong electrolytes in the ionized form
- Write weak electrolytes, water, and gases in the non-ionized form
- Cancel all the spectator ions to obtain the net ionic equation.
- If all species are eliminated, there is no reaction.
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- pH is a measure of the acidity of a solution. The typical range for pH is 0 to 14.
- Neutral solutions have a pH of 7.
- Below are some properties of acids and bases.
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- An Arrhenius acid is a substance that ionizes in water to produce
hydrogen ions.
- An Arrhenius base is a substance that ionizes in water to release
hydroxide ions.
- A Brønsted-Lowry acid is a substance that donates a hydrogen ion to any
other substance. It is a proton
donor.
- A Brønsted-Lowry base is a substance that accepts a hydrogen ion. It is a proton acceptor
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- In an aqueous solution, [H+][OH-] = 1.0 × 10-14. This is the ionization constant of
water, Kw.
- pH = –log[H+]
- [H+] = 10–pH
- Strong electrolytes are mostly dissociated in solution.
- Weak electrolytes are slightly dissociated in solution.
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