Chemical Formulae, Equations, Calculations (Edexcel IGCSE Science (Double Award): Chemistry)

Many different salts can be prepared from acids.

The table shows the reactants used in two salt preparations. Complete the table to show the name of the salt formed and the other product(s) in each case.

A student uses the reaction between aluminium hydroxide and dilute sulfuric acid to prepare a pure, dry sample of aluminium sulfate crystals. The equation for the reaction used to prepare this salt is:

2Al(OH)₃ + 3H₂SO₄ → Al₂(SO₄)₃ + 6H₂O

The diagram shows the steps in the student’s method.

i) State two ways to make sure that all the acid is reacted in step 2.

[2] 

ii) State the purpose of filtration in step 3.

[1] 

iii) In step 5, the basin is left to cool to room temperature to allow crystals of aluminium sulfate to form.

State one method of drying these crystals.

[1] 

The student records this information about the reagents she uses in her preparation.

   mass of aluminium hydroxide = 3.9 g

   amount of sulfuric acid = 0.090 mol

Determine which reagent is in excess, making use of this information and the equation in part (b).

reagent used in excess = ..............................................................

Another student prepares 0.25 mol of aluminium sulfate. The formula of aluminium sulfate is Al₂(SO₄)₃

Calculate the mass of aluminium sulfate prepared.

mass = .............................................................. g

The equation for another reaction used to prepare a sample of a salt is:

PbO + 2HNO₃ → Pb(NO₃)₂ + H₂O

In one experiment, the amount of lead(II) oxide used was 0.75 mol and the amount of nitric acid used was 1.5 mol. At the end of the experiment, the mass of lead(II) nitrate obtained was 209 g. Calculate the percentage yield of lead(II) nitrate in this experiment.

[M_r of lead(II) nitrate = 331]

percentage yield = .............................................................. % 

Nitric acid (HNO₃) is used in the production of fertilisers.

Nitric acid is manufactured in three stages.

i) Complete the chemical equation for the reaction in stage 1.

......................NH₃ + ......................O₂ ......................NO + .......................H₂O

(1)

ii) Give the meaning of the symbol

(1)

iii) State the purpose of the platinum catalyst.

(1)

Give a chemical equation for the reaction of nitrogen monoxide and oxygen in stage 2.

i) The equation for the reaction in stage 3 is

3NO₂ + H₂O → 2HNO₃ + NO

Calculate the maximum mass, in tonnes, of nitric acid that could be produced in this reaction from 11.5 tonnes of nitrogen dioxide. [1 tonne = 1.0 × 10⁶ g]

(4)

mass of nitric acid = ...................................................................... tonnes

ii) Suggest what use can be made of the nitrogen monoxide gas formed in stage 3.

(1)

When copper(II) oxide reacts with dilute nitric acid, copper(II) nitrate is produced. The equation for the reaction is

CuO + 2HNO₃ → Cu(NO₃)₂ + H₂O

0.200 mol of nitric acid reacts with excess copper(II) oxide. A mass of 15.3g of copper(II) nitrate is produced. Calculate the percentage yield of copper(II) nitrate. [M_r of copper(II) nitrate = 187.5]

Sodium hydrogencarbonate (NaHCO₃) is also known as baking soda.

Baking soda can be used to make cakes increase in size in an oven.

This is the equation for the reaction that takes place when baking soda is heated.

2NaHCO₃ (s) → Na₂CO₃ (s) + CO₂ (g) + H₂O (g)

i) What type of reaction is this? 

(1) 

ii) Suggest why the reaction makes the cakes increase in size.

 (1)

A student uses this apparatus to investigate the reaction that takes place when sodium hydrogencarbonate is heated.

This is the student’s method.

• Weigh a crucible and record the mass

• Add some sodium hydrogencarbonate to the crucible, reweigh it and record the mass

• Heat the crucible and contents for five minutes, then allow to cool before weighing and recording the mass

• Heat the crucible and contents again for a further three minutes, then allow to cool before weighing and recording the mass

 i) Give a reason why the crucible and contents are heated for a further three minutes.

 (1)

 ii) The student considered using a lid on the crucible in the experiment.

 Suggest an advantage and a disadvantage of using a lid on the crucible.

 (2)

 advantage ....................................................................................................

 disadvantage ....................................................................................................

The table shows some of the student’s results.

 i) Calculate the mass of sodium hydrogencarbonate that the student uses.

 (1)

 mass = ..............................................................g

 ii) Using this equation, calculate the maximum mass of sodium carbonate (Na₂CO₃) that could form in the student’s reaction.

 2NaHCO₃ (s) → Na₂CO₃ (s) + CO₂ (g) + H₂O (g)

 [M_r of NaHCO₃ = 84   M_r of Na₂CO₃ = 106]

 (3)

 maximum mass = .............................................................. g

In a second experiment, the student uses a larger mass of sodium hydrogencarbonate. 

She calculates that she should obtain 4.8 g of sodium carbonate. 

She actually obtains 4.2 g of sodium carbonate.

i) Calculate the percentage yield from the student’s experiment.

(2)

percentage yield = ..............................................................%

ii) Other than spillages, suggest a possible reason why the student’s actual yield is less than expected.

(1)

This question is about alkanes.

The graph shows the boiling points of several unbranched alkanes.

i) Draw a curve of best fit.

(1)

ii) Use the graph to find the boiling point of the alkane with 7 carbon atoms in its molecule. 

Show on the graph how you obtain your answer.

(2)

boiling point = .............................................................. °C

iii) Explain the trend shown by the graph.

(3)

The diagram represents two isomers with the formula C₅H₁₂

   Explain why these compounds are isomers.

i) An alkane contains 82.8% carbon and 17.2% hydrogen by mass. Show by calculation that the empirical formula of this alkane is C₂H₅

(2)

ii) Deduce the molecular formula of this alkane.

(1)

The equation for the complete combustion of one mole of an alkane can be represented by

alkane + ZO₂ → XCO₂ + YH₂O

Complete combustion of one mole of the alkane produces 308 g of carbon dioxide and 144 g of water.

X, Y and Z are the numbers used to balance the equation.

Calculate the values of X, Y and Z.

[M_r of CO₂ = 44, M_r of H₂O = 18]

X = ................................

Y = ................................

Z = ................................

The diagram shows the apparatus a teacher uses to determine the formula of an oxide of lead.

 This is the teacher’s method.

1. Find the mass of the reduction tube

2. Add some of the lead oxide to the reduction tube

3. Find the mass of the reduction tube and lead oxide

4. Pass hydrogen gas over the lead oxide and ignite the hydrogen at the hole

5. Heat the lead oxide strongly for 10 minutes

6. Keep passing hydrogen through the reduction tube until the tube and contents are cool

7. Find the new mass of the reduction tube and its contents

 i) Give a reason why hydrogen is passed through the reduction tube until the tube and contents are cool.

 (1)

 ii) Describe what the teacher should do next to make sure all the lead oxide has been reduced to lead.

 (2)

The teacher completes the experiment and obtains these results.

• mass of reduction tube = 23.50 g

• mass of tube + lead oxide = 28.64 g

• mass of tube + lead = 28.16 g

i) Calculate the mass of lead formed.

(1)

mass of lead = .............................. g

ii) Calculate the mass of oxygen removed from the lead oxide.

(1)

mass of oxygen = .............................. g

iii) Determine the empirical formula of the lead oxide.

(4)

empirical formula of the lead oxide .............................. 

The insoluble salt lead(II) chloride (PbCl₂) can be prepared by reacting a solution of lead(II) nitrate with dilute hydrochloric acid.

 i) Complete the equation for the reaction by adding the state symbols.

 (1)

 Pb(NO₃)₂ (..........) + 2HCl (..........) → PbCl₂ (..........) + 2HNO₃ (..........) 

 ii) Show that the maximum mass of lead(II) chloride that can be made from 0.0370 mol of hydrochloric acid is about 5 g.

 [M_r of PbCl₂ = 278]

 (3)

 maximum mass = .............................. g

A student uses this apparatus to heat crystals of hydrated zinc sulfate and collect the liquid produced.

i) Describe a chemical test to show that the colourless liquid contains water.

(2)

 ii) Describe a physical test to show the colourless liquid is pure water. 

(2)

The equation for the decomposition of hydrated zinc sulfate is

 ZnSO₄·7H₂O (s) → ZnSO₄ (s) + 7H₂O (l)

  The student records these masses. 

• mass of boiling tube = 41.64 g

• mass of boiling tube + ZnSO₄·7H₂O = 54.46 g 

Calculate the maximum volume, in cm³, of pure water that could be produced. 

Give your answer to 1 decimal place. 

[1.00 cm³ of pure water has a mass of 1.00 g]

 [M_r of ZnSO₄·7H₂O = 287   M_r of H₂O = 18]

maximum volume of pure water = .............................. cm³

In an experiment using a different mass of ZnSO₄·7H₂O the maximum volume of pure water that could be produced is 8.5 cm³.

The student collected the pure water and calculated the percentage yield to be 20.3%.

i) Calculate the volume, in cm³, of pure water collected.

(1)

1.  volume of pure water = .............................. cm³

ii) Explain an improvement to the apparatus that would increase the percentage yield of pure water.

 (2)

This question is about the reduction of metal oxides.

Solid oxides of copper can be reduced by reacting them with methane gas. Complete the equation for the reaction between copper(II) oxide and methane. Include state symbols.

.....CuO (.....) + .....CH₄ (.....) .....Cu (.....) + .....CO₂ (.....) + .....H₂O (.....)

A teacher uses this apparatus to demonstrate the reaction between a different oxide of copper and methane.

The teacher heats the oxide of copper until the reaction is complete. The table shows the teacher’s results.

i) Use the teacher’s results to show that the empirical formula of this oxide of copper is Cu₂O

(4)

ii) The teacher wears safety glasses and a lab coat during the demonstration. Give one other safety precaution that she should take.

(1)

Iron forms when iron(III) oxide is heated with carbon. The equation for the reaction is:

Fe₂O₃ + 3C → 2Fe + 3CO

i) State how the equation shows that iron(III) oxide is reduced.

(1)

ii) State why carbon monoxide should not be released into the atmosphere.

(1)

iii) Calculate the maximum mass, in tonnes, of iron that can be produced when 30.0 tonnes of iron(III) oxide are reacted with an excess of carbon.

[1 tonne = 1.0 × 106 g]

(4)

mass = .............................................................. tonnes

 iv) A mixture of 25 000 mol of iron(III) oxide and 840 000 g of carbon is heated. Use this equation to show that the iron(III) oxide is in excess.

Fe₂O₃ + 3C → 2Fe + 3CO

(2)

A student uses the reaction between zinc and dilute sulfuric acid to prepare some zinc sulfate crystals.

i) Complete the equation for this reaction by giving the correct state symbols.

(1)

Zn (....................) + H₂SO₄ (....................) → ZnSO₄ (....................) + H₂ (....................)

ii) State what would be observed during this reaction.

(1)

The student adds excess zinc to a beaker of dilute sulfuric acid.

i) Explain why it is necessary to add excess zinc.

(2)

ii) Draw a diagram of the apparatus the student should use to remove the unreacted zinc and collect the zinc sulfate solution.

(2)

The student obtains a pure, dry sample of zinc sulfate crystals. The formula of zinc sulfate crystals is ZnSO₄.7H₂O

i) Calculate the relative molecular mass (M_r) of zinc sulfate crystals.

(2)

M_r = ..............................................................

ii) The student uses 0.0200 mol of dilute sulfuric acid in her preparation. Show that the maximum mass of zinc sulfate crystals that the student could obtain is about 6 g.

(2)

iii) The student obtains a mass of 4.28 g of zinc sulfate crystals. Calculate the percentage yield of the zinc sulfate crystals. Give your answer to three significant figures.

(3)

percentage yield = ..............................................................%

Explain the meaning of the term thermal decomposition.

The equation for the thermal decomposition of potassium hydrogencarbonate is

 2KHCO₃ → K₂CO₃ + H₂O + CO₂

 Calculate the maximum mass of K₂CO₃ that could be produced from the thermal decomposition of 2.50 g of KHCO₃

A student is given a pure sample of sodium carbonate crystals and is told that the formula of the crystals is Na₂CO₃.xH₂O 

State what xH₂O in the formula shows about the sodium carbonate crystals.

The student uses this apparatus to find the value of x in Na₂CO₃.xH₂O 

This is the student’s method.

• Find the mass of an empty crucible without a lid

• Add some sodium carbonate crystals Na₂CO₃.xH₂O to the crucible

• Find the total mass of the crucible and sodium carbonate crystals

• Heat the crucible to remove water from the crystals

• Allow the crucible and contents to cool down

• Find the mass of the cold crucible and its contents

These are the student’s results.

 i) Calculate the mass of sodium carbonate left after heating and cooling.

 (1)

 mass of sodium carbonate = .............................................................. g

 ii) Calculate the mass of H₂O lost from the sodium carbonate crystals during heating.

 (1)

 mass of H₂O = .............................................................. g

 iii) Show that the student’s results suggest that the formula of the sodium carbonate crystals is Na₂CO₃.7H₂O

 [M_r of Na₂CO₃ = 106   M_r of H₂O = 18]

 (3)

The student’s teacher says that the correct formula of the sodium carbonate crystals is Na₂CO₃.10H₂O

i) The student did not make any mistakes in their measurements.

 Explain what could have caused the student’s value for x to be too low.

 (2)

 ii) Describe how the student could improve the method to obtain a more accurate value for x.

 (2)

The mineral nesquehonite is a form of hydrated magnesium carbonate. The formula, MgCO₃.xH₂O, shows that nesquehonite contains water of crystallisation. When a sample of nesquohonite is heated gently, the water of crystallisation is given off and anhydrous magnesium carbonate is left. Six students are each given a sample of nesquehonite of mass 6.1 g. The students heat their samples for different times. The samples are then allowed to cool before being reweighed. The table shows their results.

Plot these results on the grid provided. The last two points have been plotted for you. Draw a straight line of best fit for the points you have plotted.

Predict the mass of sample remaining after heating for 2.5 minutes. Show on the graph how you obtain your answer.

mass after 2.5 minutes = .............................................................. g

State why the last two masses in the table are exactly the same.

A sample of nesquehonite contains 1.68 g of MgCO₃ and 1.08 g of H₂O. Calculate the value of x in the formula MgCO₃.xH₂O

[M_r of MgCO₃ = 84; M_r of H₂O = 18]

x = ..............................................................