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6th Year HL · Chemistry
Chemical change · Chemical reactions of interest

Neutralisation reactions

After a big dinner in front of a Gaelic football match, heartburn is relieved with an indigestion tablet; a field that is too acidic is corrected with lime spread by a farmer; 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, and litmus paper turns red in acid and blue in base: 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 or…

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 neutralise all the acid, around what value will the pH be?

Give reasons for your answers.

Solve

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

When hydrochloric acid and sodium hydroxide, 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 neutralisation 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 neutralisation 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 laboratory, hydrochloric acid ($HCl$) is mixed with sodium hydroxide ($NaOH$) to form sodium chloride ($NaCl$), common salt, and water. Write the reaction…

In the laboratory, 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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Write the formula and name of the salt formed in each neutralization reaction: a) Hydrochloric acid ($HCl$) with potassium hydroxide ($KOH$). b) Nitric acid ($HNO_3$)…

Write the formula and name of the salt formed in each neutralization reaction:

  1. a) Hydrochloric acid ($HCl$) with potassium hydroxide ($KOH$).
  2. b) Nitric acid ($HNO_3$) with sodium hydroxide ($NaOH$).
Solve
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The core of any neutralisation 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 neutralisation 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
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Three beakers contain dissolved salts left behind after three complete neutralisations: potassium chloride ($KCl$), sodium nitrate ($NaNO_3$) and calcium sulphate…

Three beakers contain dissolved salts left behind after three complete neutralisations: potassium chloride ($KCl$), sodium nitrate ($NaNO_3$) and calcium sulphate ($CaSO_4$). Deduce which acid and which base have neutralised each other in each beaker and write the balanced equation for each reaction.

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 neutralisations 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 neutralisations 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 neutralisation between hydrochloric acid ($HCl$) and calcium hydroxide ($Ca(OH)2$), forming calcium chloride ($CaCl_2$) and water.

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

Solve
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Write and balance the equation for the neutralisation of sulfuric acid ($H_2SO_4$) with sodium hydroxide ($NaOH$), forming sodium sulfate ($Na_2SO_4$) and water.

Write and balance the equation for the neutralisation of sulfuric acid ($H_2SO_4$) with sodium hydroxide ($NaOH$), forming sodium sulfate ($Na_2SO_4$) 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. 25 mL (equivalence) pH 1 at start jump (24 to 26 mL): pH 3 to 11, pH 7 at 25 mL pH V (mL)
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In the laboratory, a solution of $NaOH$ is added slowly to $25\ \text{mL}$ of a solution of $HCl$ while measuring the pH, as shown in the diagram. This is what is…

In the laboratory, a solution of $NaOH$ is added slowly to $25\ \text{mL}$ of a solution of $HCl$ while measuring the pH, as shown in the diagram.

NaOH HCl 25 mL pH

This is what is observed: at first, the pH is $1$ and hardly increases during the first $20\ \text{mL}$ added; between $24$ and $26\ \text{mL}$, the pH jumps from $3$ to $11$; from then on, it rises slowly, approaching $13$.

  1. a) Draw in your notebook the graph of pH against the volume of $NaOH$ added, marking those three sections.
  2. b) For what added volume is the neutralisation exactly complete? What is the pH of the solution at that point?
  3. c) Explain, using the reaction $H^+ + OH^- \rightarrow H_2O$, why the pH changes so rapidly around that exact point.

You can do it on paper and send a photo with your answer.

Solve
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We mix $0.1\ \text{mol}$ of sulphuric acid ($H_2SO_4$) with $0.1\ \text{mol}$ of sodium hydroxide ($NaOH$). a) Write the balanced equation for the neutralisation, which…

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

  1. a) Write the balanced equation for the neutralisation, which produces sodium sulphate ($Na_2SO_4$) 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, acid-carbonate reactions and efficiency per gram

Front view of a stomach, with the oesophagus 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 neutralises the excess acid. + antacid CO₂ H⁺ H⁺ H⁺ gastric acid (HCl) oesophagus duodenum stomach the excess acid is neutralised
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Gastric juice in the stomach contains hydrochloric acid. In cases of heartburn, antacids from the pharmacy, which contain bases such as magnesium hydroxide, relieve it.…

Gastric juice in the stomach contains hydrochloric acid. In cases of heartburn, antacids from the pharmacy, which contain bases such as magnesium hydroxide, relieve it. Explain, using the concept of neutralisation, 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 colour 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 colour 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 neutralisation: explain why the litmus paper no longer indicates acid or base in the resulting mixture.
Solve
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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" neutralisation such as that of $NaOH$ with $HCl$?
Solve
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The soil in a vegetable garden has $pH = 5$, and tomatoes grow best with a pH between $6$ and $7$. a) Is it an acidic or basic soil? b) Farmers add "lime" (calcium…

The soil in a vegetable garden has $pH = 5$, and tomatoes grow best with a pH between $6$ and $7$.

  1. a) Is it an acidic or basic soil?
  2. b) Farmers add "lime" (calcium hydroxide) to acidic soils. Assuming the acidity of the soil were due to hydrochloric acid, write the balanced equation for what the lime does in the soil.
  3. c) What would happen to the pH of the soil if too much lime were added? Would it be good for tomatoes?
Solve
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Marble facades and statues (calcium carbonate, $CaCO_3$) deteriorate with acid rain, which contains sulphuric 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 sulphuric acid ($H_2SO_4$).

  1. a) Write and balance the equation for the reaction between sulphuric acid and calcium carbonate, in which calcium sulphate ($CaSO_4$), water and carbon dioxide are formed.
  2. b) Explain why this reaction gradually "eats away at" statues.
  3. c) Granite does not contain carbonates: reason why granite buildings withstand acid rain better than marble ones.
Solve
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A bee sting injects an acid (methanoic acid) and a wasp sting, a basic substance. In the first-aid kit, there is vinegar (dilute acetic acid) and a sodium hydrogen…

A bee sting injects an acid (methanoic acid) and a wasp sting, a basic substance. In the first-aid kit, there is vinegar (dilute acetic acid) and a sodium hydrogen carbonate paste.

  1. a) Which of the two remedies would you apply to each sting? Justify your answer using the concept of neutralisation.
  2. b) A friend claims that "vinegar works for all stings". Explain to them why they are wrong and what would happen if vinegar were applied to a bee sting.
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 $HCl$ neutralised 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 neutralises less acid per gram than magnesium hydroxide, even though both neutralise the same amount of acid per mole.

Solve

Kw, pH calculations, and strong and weak acids

How do we calculate a pH, and why does a weak acid have a higher pH than a strong acid of the same concentration?

For a weak base such as ammonia, $K_b = \dfrac{[\text{NH}_4^+][\text{OH}^-]}{[\text{NH}_3]}$. Compare the degree of ionisation: a strong acid is almost fully ionised, while a weak acid with $K_a = 1.8 \times 10^{-5}$ at $0.10\ \text{mol/L}$ ionises only about $1.3\%$ ($1.3 \times 10^{-3} / 0.10$).

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 labelled «÷ 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 $Mg(OH)_2$ neutralise?
  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 neutralise it?
Solve
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In a laboratory flask, there are $0.2\ \text{mol}$ of sulphuric acid ($H_2SO_4$). a) Write the balanced equation for its neutralisation with sodium hydroxide ($NaOH$),…

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

  1. a) Write the balanced equation for its neutralisation with sodium hydroxide ($NaOH$), which produces sodium sulphate ($Na_2SO_4$) and water.
  2. b) Calculate how many moles of $NaOH$ are needed to neutralise 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

Back to the beginning: Wasp venom is basic; that is why vinegar (which provides ethanoic acid) neutralises 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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