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Chemical change · Chemical reactions of interest

Neutralization reactions

Heartburn after a Thanksgiving dinner is relieved with an antacid; a soil that is too acidic is corrected with lime; a wasp sting is treated with a little vinegar. All three cases are the same type of reaction: an acid meets a base and they "cancel" each other out, with a precision that stoichiometry lets us calculate to the gram.

Acids, bases and the pH scale

Lemon juice tastes sour and corrodes marble, whereas soap is slippery and turns red cabbage extract green: how can we order and quantify these differences using a single numerical scale?

pH scale graduated from 0 to 14: acidic zone below 7, neutral point at 7 and basic zone above 7, with an arrow showing the direction in which the pH increases. neutral acidic pH < 7 basic pH > 7 0 7 14 pH the lower, the more acidic the higher, the more basic
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Classify each of these substances as an acid, a base, or a salt: a) $HNO_3$ (nitric acid) b) $KOH$ (potassium hydroxide) c) $NaCl$ (sodium chloride) d) $H_2SO_4$…

Classify each of these substances as an acid, a base, or a salt:

  1. a) $HNO_3$ (nitric acid)
  2. b) $KOH$ (potassium hydroxide)
  3. c) $NaCl$ (sodium chloride)
  4. d) $H_2SO_4$ (sulfuric acid)
  5. e) $Ca(OH)_2$ (calcium hydroxide)
Solve
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pH measures how acidic or basic a solution is. These are the positions of the four solutions on the pH scale: State whether each of these solutions is acidic, neutral,…

pH measures how acidic or basic a solution is. These are the positions of the four solutions on the pH scale:

pH 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 lemon juice crushed tomato pure water hand soap

State whether each of these solutions is acidic, neutral, or basic:

  1. a) lemon juice, $pH = 2.5$
  2. b) pure water, $pH = 7$
  3. c) hand soap, $pH = 10$
  4. d) crushed tomato, $pH = 4.5$
Solve
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We have a beaker with dilute vinegar at $pH = 3$ and we gradually add a solution of sodium bicarbonate, which is a base. a) Does the pH in the beaker rise or fall when…

We have a beaker with dilute vinegar at $pH = 3$ and we gradually add a solution of sodium bicarbonate, which is a base.

  1. a) Does the pH in the beaker rise or fall when adding the bicarbonate?
  2. b) If we add just the right amount to neutralize all the acid, around what value will the pH be?

Give reasons for your answers.

Solve

The heart of neutralization: $\text{H}^+ + \text{OH}^- \rightarrow \text{H}_2\text{O}$

When hydrochloric acid and sodium hydroxide (lye), two enormously corrosive substances on their own, are carefully mixed, the result is harmless salty water that gives off heat: what transformation takes place at the level of particles for both compounds to lose their aggressiveness?

An H⁺ ion and a hydroxide ion OH⁻ combine to form a neutral water molecule H₂O, with the oxygen bonded to two hydrogens at an angle of about 104.5 degrees. + H⁺ + O H OH⁻ O H H H₂O neutral, pH = 7
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Complete the general scheme of a neutralization reaction with the missing words: "An $\dots$ reacts with a $\dots$ to form a $\dots$ and $\dots$". Then give an example…

Complete the general scheme of a neutralization reaction with the missing words: "An $\dots$ reacts with a $\dots$ to form a $\dots$ and $\dots$". Then give an example using the reaction between hydrochloric acid and sodium hydroxide.

Solve
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In the lab, hydrochloric acid ($HCl$) is mixed with sodium hydroxide ($NaOH$) to form sodium chloride ($NaCl$), common salt, and water. Write the reaction equation and…

In the lab, hydrochloric acid ($HCl$) is mixed with sodium hydroxide ($NaOH$) to form sodium chloride ($NaCl$), common salt, and water. Write the reaction equation and check by counting atoms that it is balanced.

Solve
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The core of any neutralization is the combination of the $H^+$ ion from the acid with the $OH^-$ ion from the base to form water: $H^+ + OH^- \rightarrow H_2O$, as shown…

The core of any neutralization is the combination of the $H^+$ ion from the acid with the $OH^-$ ion from the base to form water: $H^+ + OH^- \rightarrow H_2O$, as shown in the diagram.

H ion H+ + O H ion OH− O H H H₂O
  1. a) Check that this ionic equation is balanced in terms of atoms and electrical charge.
  2. b) Using this idea, explain what these two reactions have in common: $HCl + NaOH \rightarrow NaCl + H_2O$ and $HNO_3 + KOH \rightarrow KNO_3 + H_2O$.
Solve

Bases without hydroxide: the Brønsted-Lowry idea

Ammonia in a household cleaner has no $\text{OH}$ in its formula, yet it neutralizes acids: so what makes a substance a base?

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An effervescent antacid contains sodium bicarbonate ($NaHCO_3$), which reacts with hydrochloric acid as follows: $NaHCO_3 + HCl \rightarrow NaCl + H_2O + CO_2$. a) Check…

An effervescent antacid contains sodium bicarbonate ($NaHCO_3$), which reacts with hydrochloric acid as follows: $NaHCO_3 + HCl \rightarrow NaCl + H_2O + CO_2$.

  1. a) Check by counting atoms that the equation is balanced.
  2. b) Why do bubbles form when the tablet is dropped into a glass with acid?
  3. c) How does this reaction differ from a "classic" neutralization such as that of $NaOH$ with $HCl$?
Solve
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Ammonia ($NH_3$) in cleaning products is not a hydroxide, but it reacts with hydrochloric acid as follows: $NH_3 + HCl \rightarrow NH_4Cl$. a) Check that the equation is…

Ammonia ($NH_3$) in cleaning products is not a hydroxide, but it reacts with hydrochloric acid as follows: $NH_3 + HCl \rightarrow NH_4Cl$.

  1. a) Check that the equation is balanced.
  2. b) Why does water not appear among the products, unlike what happens in neutralizations with hydroxides?
  3. c) The modern definition states that a base is any substance capable of accepting $H^+$ ions. Using this definition, explain why ammonia is indeed a base and what has happened to its nitrogen atom upon forming $NH_4Cl$.
Solve

Balancing neutralizations with polyprotic acids and bases

When the acid provides more than one $\text{H}^+$ per molecule, or the base more than one $\text{OH}^-$, we need to balance carefully so that every ion finds a partner. The rule is the same as always: metals and non-metals first, H and O last.

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Sulfuric acid ($H_2SO_4$) reacts with calcium hydroxide ($Ca(OH)2$) to form calcium sulfate ($CaSO_4$) and water. Write the equation and balance it; pay close attention…

Sulfuric acid ($H_2SO_4$) reacts with calcium hydroxide ($Ca(OH)_2$) to form calcium sulfate ($CaSO_4$) and water. Write the equation and balance it; pay close attention to how many water molecules are formed for each calcium sulfate.

Solve
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Write and balance the equation for the neutralization between hydrochloric acid ($HCl$) and calcium hydroxide ($Ca(OH)2$), forming calcium chloride ($CaCl_2$) and water.

Write and balance the equation for the neutralization between hydrochloric acid ($HCl$) and calcium hydroxide ($Ca(OH)_2$), forming calcium chloride ($CaCl_2$) and water.

Solve
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Phosphoric acid ($H_3PO_4$), present in some cola soft drinks, reacts with calcium hydroxide to form calcium phosphate ($Ca_3(PO_4)2$) and water. a) Write and balance…

Phosphoric acid ($H_3PO_4$), present in some cola soft drinks, reacts with calcium hydroxide to form calcium phosphate ($Ca_3(PO_4)_2$) and water.

  1. a) Write and balance the equation (you will need the coefficients $2$, $3$ and $6$).
  2. b) How many moles of water are formed per mole of phosphoric acid?
  3. c) Explain why, when balancing this equation, it is not enough to look at a single element, and why it is advisable to start by balancing calcium and phosphorus before hydrogen and oxygen.
Solve

The titration curve: why the pH "jumps" suddenly

Graph of an acid-base titration curve showing how the pH changes with the volume of base added, highlighting the vertical jump at the equivalence point. V equivalence pH V (mL)
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We mix $0.1\ \text{mol}$ of sulfuric acid ($H_2SO_4$) with $0.1\ \text{mol}$ of sodium hydroxide ($NaOH$). a) Write the balanced equation for the neutralization, which…

We mix $0.1\ \text{mol}$ of sulfuric acid ($H_2SO_4$) with $0.1\ \text{mol}$ of sodium hydroxide ($NaOH$).

  1. a) Write the balanced equation for the neutralization, which produces sodium sulfate ($Na_2SO_4$) and water.
  2. b) Reason which of the two reactants is used up first and how many moles of the other remain unreacted.
  3. c) Will the final pH be acidic, basic, or neutral? What if we mix $0.1\ \text{mol}$ of $H_2SO_4$ with $0.2\ \text{mol}$ of $NaOH$? Justify both answers.
Solve

Antacids, bicarbonate and efficiency per gram

Front view of a stomach, with the esophagus at the top and the duodenum at the bottom left. Gastric juice containing hydrochloric acid collects in its lower part. An antacid arrives through the oesophagus, reacts in the juice, gives off CO₂ bubbles and neutralizes the excess acid. + antacid CO₂ H⁺ H⁺ H⁺ gastric acid (HCl) esophagus duodenum stomach the excess acid is neutralized
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Gastric juice in the stomach contains hydrochloric acid. In cases of heartburn, antacids from the drugstore, which contain bases such as magnesium hydroxide, relieve it.…

Gastric juice in the stomach contains hydrochloric acid. In cases of heartburn, antacids from the drugstore, which contain bases such as magnesium hydroxide, relieve it. Explain, using the concept of neutralization, how an antacid works in the stomach.

Solve
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Litmus paper turns red in acidic conditions and blue in basic conditions. a) What color will it turn in a solution of $HCl$? b) And in a solution of $NaOH$? c) We mix…

Litmus paper turns red in acidic conditions and blue in basic conditions.

  1. a) What color will it turn in a solution of $HCl$?
  2. b) And in a solution of $NaOH$?
  3. c) We mix the two solutions in exact amounts for complete neutralization: explain why the litmus paper no longer indicates acid or base in the resulting mixture.
Solve
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Which antacid makes the best use of every gram? These are the reactions of three antacids with stomach acid: a) magnesium hydroxide ($58\ \text{g/mol}$):…

Which antacid makes the best use of every gram? These are the reactions of three antacids with stomach acid:

  1. a) magnesium hydroxide ($58\ \text{g/mol}$): $Mg(OH)_2 + 2\ HCl \rightarrow MgCl_2 + 2\ H_2O$
  2. b) calcium carbonate ($100\ \text{g/mol}$): $CaCO_3 + 2\ HCl \rightarrow CaCl_2 + H_2O + CO_2$
  3. c) sodium hydrogen carbonate ($84\ \text{g/mol}$): $NaHCO_3 + HCl \rightarrow NaCl + H_2O + CO_2$

Calculate the moles of $HCl$ neutralized by $1\ \text{g}$ of each antacid (you can give your answer as a fraction or rounded to three decimal places), order them from highest to lowest capacity per gram and explain why calcium carbonate neutralizes less acid per gram than magnesium hydroxide, even though both neutralize the same amount of acid per mole.

Solve

Calculating with neutralisations

Two beakers: on the left 0.1 mol of HCl dissolved, with H⁺ and Cl⁻ ions; on the right 0.05 mol of Mg(OH)₂, with Mg²⁺ and OH⁻ ions. An arrow labeled «÷ 2» shows that half as many moles of base as of acid are needed. 0.1 mol HCl ÷ 2 0.05 mol Mg(OH)₂ H⁺ Cl⁻ Mg²⁺ OH⁻
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Milk of magnesia is a suspension of magnesium hydroxide ($Mg(OH)2$) taken for heartburn. Its reaction with stomach acid is…

Milk of magnesia is a suspension of magnesium hydroxide ($Mg(OH)_2$) taken for heartburn. Its reaction with stomach acid is $Mg(OH)_2 + 2\ HCl \rightarrow MgCl_2 + 2\ H_2O$.

  1. a) How many moles of $HCl$ does $1\ \text{mol}$ of $Mg(OH)_2$ neutralize?
  2. b) If the stomach has an excess of $0.1\ \text{mol}$ of $HCl$, how many moles of $Mg(OH)_2$ are needed to neutralize it?
Solve
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In a laboratory flask, there are $0.2\ \text{mol}$ of sulfuric acid ($H_2SO_4$). a) Write the balanced equation for its neutralization with sodium hydroxide ($NaOH$),…

In a laboratory flask, there are $0.2\ \text{mol}$ of sulfuric acid ($H_2SO_4$).

  1. a) Write the balanced equation for its neutralization with sodium hydroxide ($NaOH$), which produces sodium sulfate ($Na_2SO_4$) and water.
  2. b) Calculate how many moles of $NaOH$ are needed to neutralize all the acid.
  3. c) If we were to add only $0.2\ \text{mol}$ of $NaOH$, would the solution be acidic, neutral or basic? Justify your answer using stoichiometry.
Solve
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Marble facades and statues (calcium carbonate, $CaCO_3$) deteriorate with acid rain, which contains sulfuric acid ($H_2SO_4$). a) Write and balance the equation for the…

Marble facades and statues (calcium carbonate, $CaCO_3$) deteriorate with acid rain, which contains sulfuric acid ($H_2SO_4$).

  1. a) Write and balance the equation for the reaction between sulfuric acid and calcium carbonate, in which calcium sulfate ($CaSO_4$), water, and carbon dioxide are formed.
  2. b) Explain why this reaction gradually "eats away at" statues.
  3. c) Granite does not contain carbonates: explain why granite buildings withstand acid rain better than marble ones.
Solve

Back to the beginning: Wasp venom is basic; that is why vinegar (which provides acetic acid) neutralizes it and soothes the sting, whereas in the stomach the opposite happens: you take a basic antacid to neutralise the excess hydrochloric acid.

Summary

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