Edexcel IGCSE Chemistry Chemical formulae, equations and calculations

This page contains the detailed and easy notes for Edexcel IGCSE Chemistry Chemical Formulae,Equation and Calculation for revision and understanding.

Edexcel IGCSE Paper 1: Complete Revision Summary

Quantitative Chemistry

  1. a) Calculating Formulas Mass
  2. b) Calculating Moles from Masses
  3. c) Calculating Moles from Volume
  4. d) Calculating Moles from Concentration
  5. e) Calculations from Balanced Chemical equations
  6. f) Percentage Yield
  7. g) Atom Economy
  8. h) Titrations




RELATIVE FORMUALE MASS

It is the sum of relative atomic mass of all the atoms present in a compound.

The ratio of the average mass of one atom compared to 1/12th of the mass of C-12

Eg – CO2 = Mass of C + 2(mass of O)

= 12+ (2× 16)

= 44g

CaCO3 = Mass of Ca + Mass of C + 3(mass of O)

= 40+12+ (3× 16)

= 100g

Ca(PO4)3 = Mass of C + 3 × mass of P+ 12(mass of O)

= 310g

MOLES  – Amount of substance.




Chemical Formulae,Equation and Calculation

Edexcel IGCSE Chemistry Chemical formulae, equations and calculations

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Examples

Q1 Calculate the moles of following

  1. 22g of COMoles = Mass/Mr = 22/44 = 0.5 moles
  1. 17g of NHMass/Mr = 24/17 =2 moles
  1. 48dmof OVolume/24 = 48/24 = 2 moles
  1. 24000cm3 of CO24000/1000dm3 = 24dm3 = 24/24 = 1 mole
  1. 20g of NaOH dissolved in 50cmof Solution Moles = 20/40 = 0.5 moles

 

Q2 Calculate the mass of :-

  1. a) 2 moles of calcium carbonate Mass = Moles × Mr =Mr CaCO3 =100 = 2 × 100g= 200g
  2. b) 0.1 moles of hydrochloric acid Mr of Hcl = 36.5 = 36.5×0.1 = 0.365g

 

Q3 Calculate the concentration of the following

  1. a) 2 moles of NaOH dissolved in 10 dm3 of solution = Concentration = Moles/V(dm)3 = 2/10 = 0.2 mol dm-3
  2. b) 20 g of NaOH dissolved in 50 cm3 of solution = Moles of NaOH = 20/40 = 0.5 moles

C = 0.5/0.05 moldm-3 = 10moldm-3

V= 50/1000 = 0.05dm3

Avogadros Constant

1 mole = 6.02 x 1023 atoms

Q1 Calculate the number of molecules in the following :

  1. 49 g of sulphuric acid

Mr of H2SO4 = 98g

=98/49 =0.5 moles

= 0.5 x 6.02 x 1023 atoms

= 3.01 x 1023 atoms

  1. 8 g of oxygen gas

Mr of O2 = 32g

=8/32 =0.25 moles

= 0.25 x 6.02 x 1023 atoms

= 1.50 x 1023 atoms

  1. 48 dm3 of Nitrogen

Mr of N=48/24 = 2 moles

= 2 x 6.02 x 1023 atoms

= 1.20 x 1024 atoms

  1. d) 50 cm3 of 0.1 mol dm3 of sodium hydroxide

Moles = C x V = 0.1 x 50/1000 = 5 x 10-3 moles

=5 x 10-3 x 6.02 x 1023 atoms

= 3.01 x 1021 atoms

Balanced Chemical Equations

C + O2                        CO2

One mole of carbon is reacting with one mole of oxygen to form one mole of carbon dioxide.

2Al + 3O2                       2Al2O3

2 moles aluminium reacts with 3 moles of oxygen to form 2 moles of aluminium oxide.

Mg + 2HCl                       MgCl2 + H2

One mole of magnesium is reacting with 2 moles of hydrochloric acid to form one moles of magnesium chloride and one mole of hydrogen gas.

 

CALCULATIONS FROM EQUATIONS

Calculate the mass of Magnesium oxide produced from 6 g of Magnesium when burned complete y in air ?

STEP 1: Write the balanced chemical equation.

2Mg + O2                        2MgO

STEP2: Write known to the left and unknown to the right

Mg = MgO

STEP3: Write the moles relationship from the balanced chemical equation

2moles = 2 moles

STEP4: Convert moles into mass

48g = 80g

STEP5: Do the Maths.

48/48 = 1g                                                 80/48 = 1.66g

1g× 6 = 6g                                                 1.66g × 6 = 10g

Calculate the mass of alumium needs to produce 306 g of Aluminium Oxide ?

STEP 1: Write the balanced chemical equation.

4Al + 3O2                        2Al2O3

STEP2: Write known to the left and unknown to the right

2Al2O3                         Al

STEP3: Write the moles relationship from the balanced chemical equation

2moles = 4 moles

STEP4: Convert moles into mass

204g = 108

STEP5: Do the Maths.

306g                       108/204 x 306 = 162g

LIMITING REAGENTS

To work out the limiting reagent work out moles of all the reagents and then work from the balanced chemical equation which reagent is in excess and which is in limiting

The reactant that get all used up completely is the limiting reagent. The other reagent which is present in greater quantity than required is in excess.

13.5 gm Aluminium reacts which 32 g of Oxygen

  1. a) Work out the moles of Aluminium and Oxygen
  2. b) Which reagent is limiting and which is in excess
  3. c) Calculation the mass of aluminium oxide produced ?

4Al + 3O2                        2Al2O3

  1. Moles of Al = 13.5/27 = 0.5 moles

Moles of O2 = 32/32 = 1 moles

  1. 4 moles of Alumunium = 3 moles of oxygen

1 moles of alumnum = ¾ O2

0.5 mol of aluminium = ¾ x 0.5 = 0.375

So 0.375 moles oxygen is required hence oxygen is in excess and alumunium is limiting

  1. Al = A2O3

4 moles = 2 moles

  • 2/4

0.5 – 2/4 x 0.5

=0.25 x 102

=25.5g

PERCENTAGE YIELD

% yield = observed mass/expected mass x 100

= Actual yield/Theoretical yield x 100

When 28 g of nitrogen combined with hydrogen 30 g of ammonia is made ? Calculate the percentage yield ?

N2 + 3H2                        2NH3

N2 = NH3

1mole = 2moles of ammonia

28g = 32g of ammonia

Expected = 32g

Observed = 30g

% yield = 30/32 x 100 = 93.75%

When 80 g of iron oxide reacts with carbon, 20 g of iron is produced. Calculate the % yield ?

2Fe2O3 + 3C               Fe + 3CO2

Fe2O3 = Fe

2 moles = 4 moles

320g = 224 g

1g =224/320

80g = 224/320 x 80 = 56g

20/56 x 100 = 35.71%

WHY PERCENTAGE YEILD IS NOT 100 %

The percentage yield can never by greater than 100%. It is very difficult to get 100% percentage yield but scientist always look for that route that gives maximum percentage yield.

  • Reason for not getting 100% yield
  • The reaction does not go to completion so complete products are not formed.
  • Some of the reaction can start moving to the reverse direction if they are reversible
  • Some of the reaction can go and form alterative or unwanted product.
  • During the reaction some of the reactants can get lost or stick to the reaction vessel so do not react.
  • If the reaction involves gaseous reactants they can escape.
  • Some of the products can also get lost in the reaction vessel. If the reaction involves gaseous products they can also escape.
  • The reagent might not be pure therefore did not react completely to give the desired yield.

Atom Economy

Atom economy = Mr of desired product/Total Mr of all the Products x 100

Calcium Oxide is produced using the following reaction

CaCO3                   CaO + CO2

Calculate the atom economy

Desired Product = CaO =56g

Mass of reactants = CaCO3 = 100g

Atom Economy = 56/100 x 100 = 56%

Iron oxide is reduced by carbon to form iron and carbon monoxide


Fe203 + 3C                   2Fe +3CO

Calculate the atom economy

Desired Product = 2Fe =56 x 2 = 112g

Mass of reactants = Mass of Fe2CO3 + 3(Mass of C) = 196g

% Yield = 112/196 x 100 = 57%

REACTIONS WITH 100 % ATOM ECONOMY

  • Addition reaction
  • Reactions with only one product have 100 atom economy
  • How to increase atom economy?
  • Chemist should look for reaction that produce single product
  • If the by products are produced they should look for recycling the byproducts or use them in some other reactions to increase the atom economy.

Titration

It is the technique used to determine the exact volume of acid and base to carry out a neutralization reaction.

 

TITRATION PROCEDURE

  • Known Concentration solution either acid or base is measured by the pipette and is added into the conical flask. For this solution both concentration and volume is known.
  • The indicator is also added in the conical flask. When the indicator changes colour the end point is reached i.e the solution gets completely neutralised.
  • The unknown concentration solution is added into the burette. The starting volume is noted from the burette. The tap is then opened and the unknown solution is added dropwise into the conical flask with regular mixing.
  • As soon as the indicator changes colour, the tap is closed and the final reading from the burette is noted.
  • The entire process is repeated three times and the values are noted in the following format.
  • The concordont reading are taken. The anamolous results are not taken into account.
  • The means of the concordont readings are noted and used in the calculation

Titration Example

10 cm3 of 0.5 mol dm3 of sulphuric acid is titrated with sodium hydroxide. The results are given in the table.

2NaOH + H2SO4                  Na2SO4 + H20

Calculate the concentration of sodium hydroxide required to completely neutralize the acid ?

Steps

  1. Write the balanced chemical equation

2NaOH + H2SO4                  2NaOH + H20

  1. Underneath each equation write the numerical value given for each

Moles = 5 x 10-3 x 2 = 10-2 moles

  1. The quantity that has two value use the concentration triangle to find the moles

V = 10cm3

= 0.01dm3

C = 0.5 mol dm-3

Moles = C x V

0.01 x 0.5=5 x 10-3 moles

  1. Use the molar ratio to find the moles of unknown quantity
  2. Use titration volume and find the concentration

Mean Titre = 25.24+25.34+ 25.29/3

= 25.29cm3

Q1 In a Titration 50 cm3 of 0.1 mol dm3 of potasisum hydroxide is neutralized by 20 cm3 of sulphuric Acid.

Calculate the concentration of sulphuric acid.

  1. a) Write the balanced chemical equation

2KOH + H2SO4                        K2SO4 + 2H2O

  1. b) Underneath each equation write the numerical value given for each
  2. c) The quantity that has two value use the concentration triangle to find the moles
  3. d) Use the molar ratio to find the moles of unknown quantity
  4. e) Use titration volume and find the concentration

V = 0.05dm3 V = 0.02 dm3

C = 0.1 mol dm-3

= 0.005 moles

m = 0.0025 mole

C = 0.125 mol dm-3

Key Terms

  • Relative atomic mass — It is the ratio of the average mass of an atom compared to one twelfth of the mass of carbon-12
  • Relative formula mass — It is the sum of relative atomic masses of all the atoms present in a formulae
  • Moles – It is the amount of substance that has the same number of particles found in 12 g of carbon-12.
  • Avogadros Constant —Number of particles present in one mole of the substance.
  • 1mole = 6.02 x 1023 atoms
  • Limiting Reagent – It is the reagent that is completely used up in the reaction
  • Yield— The mass of desired product obtained in a chemical reaction
  • Percentage yield = Actual yeild /Theoretical Yield x 100
  • Atom Economy = Mass of the desired product/total mass of all the reactants x 100

Concentration = Mass of Solute(g)/Volume of Solution(dm3)

Titration — It is the technique used to determine the exact volume of acids and alkali required to carry out complete neutralization.

Neutralization Reaction Reaction in which acid and base react to form salt and water.

Acids—Substance that has pH less than T

Alkali — Soluble bases that has pH greater than 7

Pipette – It is a glass tube with a bulge in the middle that is used to take out the exact volume of known concentration solutiom

Burette— It is a long tube with the.tap at the bottom that is used to measure the titre

Concordant – Values which are in the range of difference 0.1 to 0.2 cm3

TEST YOURSELF

Q1 Calculate the number of moles in the following

  1. 10 g of calcium carbonate

Mr = CaCO3 = 100g = 10/100 = 0.1 moles

  1. 98 g of sulphuric acid

Mr = H2SO4 =98/98 = 1 mole

  1. 18 g glucose

C6H1206

Mr = 180

18/180 = 0.1 moles

  1. 90 cm3 of oxygen gas

Firstly convert 90cm3 in to dm3

90/1000 = 0.09 dm3

0.09/24 = 0.00375 moles

  1. 10 cm3 of 0.2 mol dm3 sodium hydroxide solution

0.2 x 10/1000 = 0.002 moles

 

Q2 What is the mass of magnesium required to form 160 g of magnesium oxide ?

MgO    =       Mg

Mg + O2                   2MgO

MgO    =       Mg

Moles     1                  1

Mass 4Og               24g

160g              96g

= 96g

Q3 Hydrogen react with chlorine to form hydrogen chloride gas. When 71 g of chlorine reacts 70 g of hydrogen chloride is obtained. Calculate the percentage yield.

H+ Cl2                             2HCl

Cl2                            HCl

Cl2    =       HCl

Moles     1                  2

Mass   71g               73g

160g              96g

% yield = 70/73 x 100 = 95.8%

Q4 Calculate the atom economy of both of these reactions:-

N+ 3H2                             2NH3

34/28+6 x 100 = 100%

CaCO3                             CaO + CO2

40+16/100 x100 = 56%

Q5 50 cm3 of 0.2 mol dm3 of HCI reacts with 10 cm3 of NaOH. Determine the concentration of NaOH ?

NaOH + HCl                             NaCl + H2O

V = 50/1000 = 0.05dm3

C = 0.2

Moles = 0.1

NaOH V = 10/1000 = 0.01dm3

Moles = 0.1 moles

C = 10 moldm-3

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References:

BBC Bitesize

AQA GCSE Science Kerboodle textbook

Wikipedia

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