© Boardworks Ltd 2003
The Masses of chemicals
WILF•To give a definition of relative formula mass Mr.• To calculate relative formula mass if its formula and the relative atomic mass are given.• To give a full definition of relative atomic mass Ar. • To explain what a mole is.
© Boardworks Ltd 2003
What’s in a Symbol?
12
6
C is the symbol for carbon
Relative atomic mass(Mass number)
Proton number(Atomic number)
This is equal to the number of protons andneutrons in the nucleus
This is equal to the number of protons in the nucleus
Its also equal to the number of electrons. Why?
© Boardworks Ltd 2003
Relative Atomic Mass of ElementsDefiniton• The relative atomic mass of an element (Ar ) compares
the mass of atoms of the element with the carbon-12 isotope. It is an average value for the isotope of the element.
• Carbon is given a relative atomic mass (Ar) of 12.• The Ar of other atoms compares them with carbon.• Eg. Hydrogen has a mass of only one twelfth that of
carbon and so has a Ar of 1.Element Symbol Times as heavy as carbon Ar
Helium He one third
Beryllium Be three quarters
Molybdenum Mo Eight
Krypton Kr Seven
4
9
96
84
© Boardworks Ltd 2003
Relative Formula Mass (Molecular Mass)• For a number of reasons it is useful to use
something called the formula mass sometimes called the relative molecular mass. Mr
• To calculate this we simply add together the atomic masses of all the atoms shown in the formula. (N=14; H=1; Na=23; O=16; Mg=24; Ca=40)
Substance Formula Relative Formula Mass
Ammonia NH3
Sodium oxide Na2O
Magnesium hydroxide Mg(OH)2
Calcium nitrate Ca(NO3)2
14 + (3x1)=17
(2x23) + 16 =62
24+ 2(16+1)=58
40+ 2(14+(3x16))=164
© Boardworks Ltd 2003
ISOTOPES• Isotopes are virtually identical in their chemical
reactions. (There may be slight differences in speeds of reaction).
• This is because they have the same number of protons and the same number of electrons.
• The uncharged neutrons make no difference to chemical properties but do affect physical properties such as melting point and density.
DefinitionAn isotope is an atom of the same element but with a different number of neutrons
© Boardworks Ltd 2003
Isotopes: Carbon• Natural samples of elements are often a
mixture of isotopes. About 1% of natural carbon is carbon-13.
Protons
Electrons
Neutrons
C12
699% C
13
61%
6
6
6
6
6
7
© Boardworks Ltd 2003
Isotopes: Chlorine• About 75% of natural chlorine is 35Cl the rest is
37Cl.
Cl35
1775%
17Protons
Electrons
Neutrons
17
18Protons
Electrons
Neutrons
171720
Cl37
1725%
© Boardworks Ltd 2003
Isotopes and Relative Atomic Mass
• Many natural elements are a mixture of isotopes.
• This means that when we react atoms of an element we are using a mixture of atoms with different mass numbers.
• The relative atomic mass given in the periodic table takes account of this.
E.g.. For 100 atoms of chlorine:
Mass of 75 atoms of Chlorine 35: 75 x 35 =2625
Mass of 25 atoms of Chlorine 37: 25 x 37 =925
Total = 3550
Average (divide by 100) = 35.5
© Boardworks Ltd 2003
The Mole
• An Italian count called Amadeo Avogadro worked out that a mole contained 6.02 x1023 particles. This is called the Avogadro Number
• He worked out that one mole of any substance is the relative atomic or formula mass expressed in grams.
• The relative atomic mass AR in grams is known as a MOLE. So a mole of carbon 12 atoms has a mass 12g.
• The relative formula mass MR of a compound in grams is also one mole. 1 mole of CO2 =44g. C+0+0 = 12+16+16.
Amadeo Avogadro
© Boardworks Ltd 2003
How big is a mole?• 1 mole of marshmallows would be enough
marshmallows to make a 12 mile thick layer of marshmallows covering the entire face of the Earth.
• 1 mole of popcorn kernels could be spread uniformly over the USA if the thickness of the layer was about 9 miles.
• 1 mole of donut holes would cover the earth and be 5 miles deep.
• 1 mole of sheets of paper could form a million stacks from the surface of the earth, all that would pass the sun.
© Boardworks Ltd 2003
The Mole (cont’d)1 mole of any substance always contains the same number of particles – 6 x 1023
1 mole of carbon weighs differently to 1 mole of oxygen
1 mole of carbon, C, atoms weighs 12g
1 mole of oxygen, O, atoms weighs 16g. Use a periodic able and work out the mass of each of the following:
1 mole of sodium Na 2 moles carbon C
1 mole of nitrogen N 10 moles chlorine Cl
1 mole of calcium Ca 0.5 moles oxygen O
1 mole of hydrogen H 0.1 moles sulphur S
1 mole of sodium Na 23g 2 moles carbon C 24g
1 mole of nitrogen N 14g 10 moles chlorine Cl 355g
1 mole of calcium Ca 40g 0.5 moles oxygen O 8g
1 mole of hydrogen H 1g 0.1 moles sulphur S 3.2g
Worksheet
© Boardworks Ltd 2003
The Mole (cont’d)Changing grams to moles
No of moles= mass of substance (g)
relative atomic (Ar) or formula mass (Mr)
e.g. How many moles in 12g of magnesium?
No moles = mass of substance (g)
relative atomic mass (Ar)
= 12 = 0.5 moles (Ar Mg = 24)
24
e.g. How many moles in 4g of oxygen? Trick – oxygen exists as molecules = O2
No moles = mass of substance (g)
relative formula mass (Mr)
= 4
32 (2x16) Mr O2 = 1
8
© Boardworks Ltd 2003
Check Up
How many moles in the following:
1. 46g Sodium Na
2. 3.5g lithium Li
3. 3.2g oxygen O2
4. 71g Chlorine gas Cl25. 4.4g carbon dioxide CO2
6. 3.6g water H2O?
ANSWERS
© Boardworks Ltd 2003
1. 46g sodium Na.
No moles = mass ÷ Ar
= 46 ÷ 23
= 2 moles
2. 3.5g Lithium Li
No moles = mass ÷ Ar
= 3.5 ÷ 7
= 0.5 moles
3. 3.2g oxygen O2
No moles = mass ÷ Mr
= 3.2 ÷ (2x16)
= 3.2 ÷ 32
= 0.1 moles
4. 71g chlorine gas Cl2.
No moles = mass ÷ Mr
= 71 ÷ (2 x 35.5)
= 71 ÷ 71
= 1 mole
5. 4.4g carbon dioxide CO2
No moles = mass ÷ Mr
= 4.4 ÷ 44
= 0.1 moles
6. 3.6g water H2O
No moles = mass ÷ Mr
= 3.6 ÷ 18
= 0.2 moles
© Boardworks Ltd 2003
Changing Moles to grams:
Mass of substance = no of moles x Ar or Mr
E.G What is the mass of 4 moles of magnesium oxide MgO?
Mass = no. moles x Mr
= 4 x (24 + 16) MgO
= 4 x 40
= 160g
© Boardworks Ltd 2003
What is the mass of the following?
1. 10 moles of carbon C
2. 5 moles of beryllium Be
3. 0.2 moles oxygen O2
4. 0.1 moles magnesium chloride MgCl25. 0.25 moles hydrogen H2
6. 0.2 moles aluminium oxide Al2O3
Check Up
ANSWERS
© Boardworks Ltd 2003
1. 10 moles of carbon Cmass = No moles x Ar
mass = 10 x 12 = 120g
2. 5 moles Bemass = No moles x Ar
mass = 5 x 9 = 45g
3. 0.2 moles O2
mass = No moles x Mr
Mass = 0.2 x (2 x 16)= 0.2 x 32 = 6.4g
4. 0.1 moles MgCl2mass = No moles x Mr
Mass = 0.1 x (24 +(2 x 35.5)= 0.1 x (24 + 71) = 9.5g
5. 0.25 moles H2
mass = No moles x Mr
Mass = 0.25 x 2 = 0.5g
6. 0.2 moles A12O3
mass = No moles x Mr
Mass = 0.2 x ((2x27) + (3x16))
= 0.2 x (54 + 48)
=0.2 x 102 = 20.4g
© Boardworks Ltd 2003
Percentage Composition by Mass
• It is sometimes useful to know how much of a compound
is made up of some particular element.
• This is called the percentage composition by mass – the
percentage of an element in a compound.
% mass of an
element in a
compound
=
Relative atomic
mass of the
element Ar
No. of atoms of
the element in
the formulaX
Relative formula mass of
the compound Mr
%
© Boardworks Ltd 2003
Percentage Composition by Mass cont’d
0
20
40
60
80
%
Carbon OxygenE.g. % of oxygen in carbon dioxide (Atomic Masses: C=12. O=16)
Formula = Number oxygen atoms =
Rel. Atomic Mass of O =
Rel. Formula Mass CO2 =
% oxygen =
CO2
2
12 +(2x16)=44
(2 x 16 ) x 100 = 72.7%44
Now work out the percentage composition of potassium K in Potassium nitrate, - KNO3
K= 39, N = 14, O=16
16
© Boardworks Ltd 2003
Formula Atoms
of O
Mass of
O
Formula
Mass
%age Oxygen
MgO 1
K2O 1
NaOH 1
SO2 2
• Calculate the percentage of oxygen in the compounds shown below
32+(2x16)=
6432
23+16+1
=4016
(2x39)+16
=9416
24+16=4016 16x100/40=40%
16x100/94=17%
16x100/40=40%
32x100/64=50%
% Z = (Number of atoms of Z) x (atomic Mass of Z)
Formula Mass of the compound
Activity
© Boardworks Ltd 2003
• Nitrogen is a vital ingredient of fertiliser that is
needed for healthy leaf growth.
• But which of the two fertilisers ammonium nitrate
or urea contains most nitrogen?
• To answer this we need to calculate what
percentage of nitrogen is in each compound
Activity
© Boardworks Ltd 2003
Formula Atoms
of N
Rel. At
Mass of
N
Relative Formula
Mass
%age Nitrogen
NH4NO3 2 28
CON2H4 2 28
• Formulae: Ammonium Nitrate NH4NO3: Urea CON2H4
28x100 /80 =
35%
28x100 /60 =
46.7%
14+(1x4)+14+(3x16)=
80
12+16+(2x14)+(4x1)=
60
And so, in terms of % nitrogen
urea is a better fertiliser than
ammonium nitrate 0
10
20
30
40
50
1st Qtr
Amm.Nitrate UreaAtomic masses H=1: C=12: N=14: O=16
Activity
© Boardworks Ltd 2003
Working out a formula from the
percentage composition.
This is just working backwards from the percentage
composition. If we know the %age composition we can work
out the ratio of the atoms of the elements in the compound.
This is called the empirical formula. This is the simplest
whole number ratio. Sometime it is the same as the actual
number – this is called the molecular formula.
e.g. Empirical formula water – H2O
Molecular formula water – H2O
Empirical formula hydrogen peroxide – HO
Molecular formula hydrogen peroxide – H2O2
© Boardworks Ltd 2003
Working out a formula from the
percentage composition.
Example
9g of aluminium react with 35.5g chlorine gas.
What is the empirical formula of the compound formed?
Important bit – you have to convert these masses into
moles (number of atoms). How do we do that?
Divide mass by relative atomic mass.
No of moles in 9g of Aluminium = 9 ÷ 27 = 1/3
No moles in 35.5g chlorine = 35.5 ÷ 35.5 = 1
Ratio = 1Al : 3Cl
Empirical Formula = AlCl31 mole Al react with 3 moles Cl
So 1 atom Al reacts with 3 atoms Cl
© Boardworks Ltd 2003
Working out a formula from the
percentage composition.
Problems
1. 1.2 g of carbon react with 3.2 g of oxygen.
What is the empirical formula of Carbon Dioxide?
2. 80g of calcium react with 32g of oxygen.
What is the empirical formula of Calcium oxide ?
© Boardworks Ltd 2003
Representing Chemical reactions:Equations.
WILF1. To balance symbol equations.2. To interpret how many moles of
reactants/products are shown in balanced equation.
3. To use a balanced symbol equation to calculate the mass of reactants or products.
© Boardworks Ltd 2003
Word Equations• All equations take the general form:
Reactants ProductsWord equations simply replace “reactants andproducts” with the names of the actual reactants and products.
E.g
Reactants Products
Magnesium + oxygen
Sodium + water
Magnesium + lead nitrate
Nitric acid + calcium
hydroxide
Magnesium oxide
Magnesium nitrate + lead
Sodium hydroxide + hydrogen
Water + calcium nitrate
© Boardworks Ltd 2003
• Write the word equations for the descriptions below.
1. The copper oxide was added to hot sulphuric acid and it
reacted to give a blue solution of copper sulphate and
water.
water+copper
sulphate
sulphuric
acid
+Copper
oxide
2. The magnesium was added to hot sulphuric acid and it
reacted to give colourless magnesium sulphate solution
plus hydrogen
hydrogen+Magnesium
sulphate
sulphuric
acid
+Magnesium
Activity
© Boardworks Ltd 2003
• Write the word equations for the descriptions below.
3. The methane burned in oxygen and it reacted to give
carbon dioxide and water.
water+Carbon
dioxide
oxygen+methane
4. The copper metal was placed in the silver nitrate solution.
The copper slowly disappeared forming blue copper
nitrate solution and needles of silver metal seemed to
grow from the surface of the copper
silver+Copper
nitrate
Silver nitrate+copper
Activity
© Boardworks Ltd 2003
Chemical Equations
• Step 1: Write down the word equation.
• Step 2: Replace words with the chemical formula .
• Step 3: Check that there are equal numbers of each type
of atom on both sides of the equation. If not, then balance
the equation by using more than one.
• Step 4: Write in the state symbols (s), (l), (g), (aq).
2MgO(s)2Mg(s) +O2(g)
2MgO2Mg + O2
Oxygen doesn’t balance.Need 2 MgO and so need 2 Mg
MgOMg + O2
magnesium oxidemagnesium + oxygen
ProductsReactants
© Boardworks Ltd 2003
• Step 1: Write down the word equation.
• Step 2: Replace words with the chemical formula .
• Step 3: Check that there are equal numbers of each type
of atom on both sides of the equation. If not, then balance
the equation by using more than one.
• Step 4: Write in the state symbols (s), (l), (g), (aq).
Reactants Products
sodium + water hydrogen + sodium hydroxide
+ +
+ +
+ +
Na H2O H2 NaOH
2Na 2H2O 2NaOHH2
2Na(s) 2H2O(l) H2(g) 2NaOH(aq)
Hydrogen doesn’t balance. Use 2 H2O, NaOH, 2Na
Chemical Equations
© Boardworks Ltd 2003
• Step 1: Write down the word equation.
• Step 2: Replace words with the chemical formula .
• Step 3: Check that there are equal numbers of each type
of atom on both sides of the equation. If not, then balance
the equation by using more than one.
• Step 4: Write in the state symbols (s), (l), (g), (aq).
Reactants Products
magnesium + lead nitrate magnesium nitrate + lead
+ +
+ +
Mg Mg(NO3)2 Pb
Mg(s) Pb(NO3)2(aq) Mg(NO3)2(aq) Pb(s)
Already balances. Just add state symbols
Pb(NO3)2
Chemical Equations
© Boardworks Ltd 2003
• Below are some chemical equations where the formulae are correct but the balancing step has not been done. Write in appropriate coefficients (numbers) to make them balance.
Reactants Products
AgNO3(aq) + CaCl2(aq) Ca(NO3)2(aq) + AgCl(s)
CH4(g) + O2(g) CO2(g) + H2O(g)
Mg(s) + Ag2O(s) MgO(s) + Ag(s)
NaOH + H2SO4(aq) Na2SO4(aq) + H2O(l)
22
2 2
2
2 2
Activity
© Boardworks Ltd 2003
Conservation of Mass
• New substances are made during chemical reactions
• However, the same atoms are present before and after
reaction. They have just joined up in different ways.
• Because of this the total mass of reactants is always equal
to the total mass of products.
• This idea is known as the Law of Conservation of Mass.
Reaction
but no
mass change
© Boardworks Ltd 2003
• There are examples where the mass may seem to change
during a reaction.
• Eg. In reactions where a gas is given off the mass of the
chemicals in the flask will decrease because gas atoms
will leave the flask. If we carry the same reaction in a
strong sealed container the mass is unchanged.
Mg
HCl
Gas given off.
Mass of
chemicals in flask
decreases
11.71
Same reaction in
sealed container:
No change in
mass
Conservation of Mass
© Boardworks Ltd 2003
Reacting Mass and formula mass
• The formula mass in grams of any substance contains the same number of particles. We call this amount of substance 1 mole.
Atomic Masses: H=1; Mg=24; O=16; C=12; N=14
1 mole of methane molecules12 + (1x4)CH4
1 mole of magnesium oxide24 + 16MgO
1 mole of hydrogen molecules1x2H2
1 mole of nitric acid1+14+(3x16)HNO3
ContainsFormula MassSymbol
© Boardworks Ltd 2003
Reacting Mass and Equations
• By using the formula masses in grams ( moles) we can deduce what masses of reactants to use and what mass of products will be formed.
carbon + oxygen carbon dioxide
C + O2 CO2
12 + 2 x 16 12+(2x16)
12g 32g 44g
So we need 32g of oxygen to react with 12g of carbon and
44g of carbon dioxide is formed in the reaction.
Atomic masses: C=12; O=16
© Boardworks Ltd 2003
aluminium + chlorine aluminium chloride
2Al + 3Cl2 2AlCl3
2 x 27 + 6 x 35.5 2x (27+(3x35.5)
54g 213g 267g
So 54g of aluminium react with 213g of chlorine to give 267g
of aluminium chloride.
Atomic masses: Cl=35.5; Al=27
• What mass of aluminium and chlorine react together?
Activity
© Boardworks Ltd 2003
magnesium + oxygen
+
+
Atomic masses: Mg=24; O=16
• What mass of magnesium and oxygen react together?
Magnesium oxide
Mg O2 MgO22
2 x 24 2x16 2x(24+16)
48g 32g 80g
So 48g of magnesium react with 32g of oxygen to give 80g
of magnesium oxide.
Activity
© Boardworks Ltd 2003
Sodium + hydrochloric +
hydroxide + acid
+ +
Atomic masses: Na = 23 O = 16 H = 1 Cl = 35.5
• What mass of sodium chloride is formed when sodium hydroxide and hydrochloric acid react together?
Sodium
chloride
NaOH HCl NaCl
23+1+16 1+35.5 23+35.5
40g 36.5g 58.5g
So 40g of sodium hydroxide react with 36.5g of
hydrochloric acid to give 58.5g of sodium chloride.
H2O
water
(2x1)+16
18g
Activity
© Boardworks Ltd 2003
Step 1 Word Equation
Step 2 Replace words with correct formula.
Step 3 Balance the equation.
Step 4 Write in formula masses.
Remember: where the equation shows more than 1
molecule to include this in the calculation.
Step 5 Add grams to the numbers.
• It is important to go through the process in the correct order to avoid mistakes.
© Boardworks Ltd 2003
Reacting Mass and Scale Factors
• We may be able to calculate that 48g of magnesium gives
80g of magnesium oxide – but can we calculate what
mass of magnesium oxide we would get from burning
1000g of magnesium? There are 3 extra steps:
Step 1 Will 1000g of Mg give more or
less MgO than 48g?
Step 2 I need to scale ? the 48g
to 1000g. What scale factor
does this give?
Step 3 If 48g Mg gives 80g of MgO
What mass does 1000g give?
Answer
more
up1000 = 20.83
48
20.83 x 80
1667g
Activity
© Boardworks Ltd 2003
• Mg + CuSO4 MgSO4 + Cu
• 24 64+32+(4x16) 24+32+(4x16) 64
• 24g 160g 120g 64g
What mass of copper will I get when 2 grams of magnesium is
added to excess (more than enough) copper sulphate?
Step 1 Will 2g of Mg give more or less Cu
than 24g?
Step 2 I need to scale ? the 24g to
2g. What scale factor does this
give?
Step 3 If 24g Mg gives 64g of Cu
What mass does 2g give?
Answer
less
down2 = 0.0833
24
0.0833 x 64
5.3
Activity
© Boardworks Ltd 2003
• CaCO3 CaO + CO2
• 40+12+(3x16) 40+16 12+(2x16)
• 100g 56g 44g
• What mass of calcium oxide will I get when 20 grams of
limestone is decomposed?
Step 1 Will 20g of CaCO3 give more or less
CaO than 100g?
Step 2 I need to scale ? the 100g to
20g. What scale factor does this
give?
Step 3 If 100g CaCo3 gives 56g of CaO
What mass does 20g give?
Answer
less
down20 = 0.20
100
0.20 x 56
11.2g
Activity
© Boardworks Ltd 2003
Elements Carbon Hydrogen
Amount in question (% or mass) 75 25
Atomic mass (periodic table) 12 1
Number of moles = Amount in questionAtomic mass
7512=6.25
251=25
Mole ratio (divide each number of moles by the smallest number of moles)
6.256.25=1
256.25= 4
Empirical formula C H4
Calculation of Empirical Formulae.Example1.A compound contains 75% carbon and 25% hydrogen. What is its empirical formula?
Empirical formula CH4
© Boardworks Ltd 2003
Calculation of Empirical Formulae.Example2. An oxide of carbon contains 27% carbon. What is its empirical formula?
Elements Carbon Oxygen
Amount in question (% or mass) 27
Rel. Atomic mass (periodic table) 12
Number of moles = Amount in questionRel. Atomic mass
2712= 2.25
Mole ratio (divide each number of moles by the smallest number of moles)
= 2.252.25
= 1
Empirical formula C
73
16
7316
=4.56
= 4.562.25
= 2
O2
© Boardworks Ltd 2003
Moles and solutions
When 1 mole of solute is dissolved in 1 litre of water we say it is a 1 Molar or 1M solution.
A 1M solution of sodium hydroxide (NaOH) solution would contain 1 mole ( 23+16+1 = 40g) of sodium hydroxide solid dissolved in 1 litre of water.
Number of moles = volume(l) x Moles per litre (M)
e.g. How many moles in 250cm3 of a 2M solution?
No of moles = 0.25 l x 2m = 0.5 moles.
© Boardworks Ltd 2003
Gases are measured by volume not by mass.
At room temperature and pressure 1 mole of any gas occupies 24 litres.
e.g. 0.2 moles of hydrogen H2 occupies what volume?
Volume = 0.2 x 24 = 4.8 litres.
Moles and gases
© Boardworks Ltd 2003
Formula from Composition by mass.
WILF
To calculate the formula of a compound from the mass of the reactants.
© Boardworks Ltd 2003
GCSE QuestionAn exothermic reaction takes place when
nitrogen reacts with hydrogen to make ammonia.
The reaction can be represented by this equation.
N2 (g) + 3H2 (g) 2NH3 (g)
(a) Calculate the maximum mass of ammonia that could be made from 1000 g of nitrogen.
Relative atomic masses: H = 1; N = 14
© Boardworks Ltd 2003
Relative Formula Mass Mr
• When a new compound is discovered we have to
deduce its formula.
• This always involves getting data about the
masses of elements that are combined together.
• What we have to do is work back from this data to
calculate the number of atoms of each element
and then calculate the ratio.
• In order to do this we divide the mass of each
atom by its atomic mass.
• The calculation is best done in 5 stages:
© Boardworks Ltd 2003
Calculating Empirical Formula
• We found 3.2g of copper reacted with 0.8g of oxygen. What is the formula of the oxide of copper that was formed? (At. Mass Cu=64: O=16)
Substance Copper oxide
1. Elements Cu O
2. Mass of each element
in question (g)
3. Mass ÷ Atomic Mass
(No. of moles)
4. Ratio
5. Formula
3.2 0.8
3.2÷64 =0.05 0.8÷16 =0.05
1:1
CuO
© Boardworks Ltd 2003
• We found 5.5g of manganese reacted with 3.2g of oxygen. What is the formula of the oxide of manganese formed? (Atomic. Mass Mn=55: O=16)
Substance Manganese oxide
1. Elements Mn O
2. Mass of each element
(g)
3. Mass / Atomic Mass
(No. of moles)
4. Ratio
5. Formula
5.5 3.2
5.5/55 =0.10 3.2/16 =0.20
1:2
MnO2
© Boardworks Ltd 2003
• A chloride of silicon was found to have the following %
composition by mass: Silicon 16.5%: Chlorine 83.5%
(Atomic. Mass Si=28: Cl=35.5)
Substance Silicon Chloride
1. Elements Si Cl
2. Mass of each element
(g per 100g)
3. Mass / Atomic Mass
4. Ratio
5. Formula
16.5 83.5
16.5/28 =0.59 83.5/35.5 =2.35
Cl÷Si = (2.35 ÷ 0.59) = (3.98)
Ratio of Cl:Si =4:1
SiCl4
Divide biggest by
smallest
Activity
© Boardworks Ltd 2003
• Calculate the formula of the compounds formed when the
following masses of elements react completely:
(Atomic. Mass Si=28: Cl=35.5)
Element 1 Element 2 Atomic Masses Formula
Fe = 5.6g Cl=106.5g Fe=56 Cl=35.5
K = 0.78g Br=1.6g K=39: Br=80
P=1.55g Cl=8.8g P=31: Cl=35.5
C=0.6g H=0.2g C=12: H=1
Mg=4.8g O=3.2g Mg=24: O=16
FeCl3
KBr
PCl5
CH4
MgO
Activity
masses
© Boardworks Ltd 2003
Formula from Charges on ions
WILF
To calculate the formula of a compound from the charge(s) on the ions
© Boardworks Ltd 2003
Charges on ions.
• Many elements form ions with some definite
charge (E.g. Na+, Mg2+ and O2-). It is often
possible to work out the charge using the Periodic
Table.
• If we know the charges on the ions that make up
the compound then we can work out its formula.
• This topic is covered in more detail in the Topic on
Bonding but a few slides are included here on how
to work out the charges on ions and use these to
deduce the formula of simple ionic compounds.
© Boardworks Ltd 2003
Charges and Metal ions
• Metals usually lose electrons to empty this outer shell.
• The number of electrons in the outer shell is usually
equal to the group number in the Periodic Table.
• Eg. Li =Group 1 Mg=Group2 Al=Group3
Mg
2.8.2
Mg2+
Al
2.8.3
Al3+
Li
2.1
Li+
© Boardworks Ltd 2003
Charges and non-metal ions
• Elements in Groups 4 onwards generally gain electrons and the number of electrons they gain is equal to the Group Number.
• Oxygen (Group 6) gains (8-6) =2 electrons to form O2-
• Chlorine (Group 7) gains (8-7)=1 electron to form Cl-
ClO
2.62.8
O O2-2.8.7 2.8.8
Cl Cl-
© Boardworks Ltd 2003
• Copy out and fill in the Table below showing
what charge ions will be formed from the
elements listed.
H He
Li
Na
K
Be
Sc Ti
Mg
V Cr Mn Fe Co Ni Cu Zn Ga Ge Se BrCa Kr
Al P
N O
S Cl
F Ne
ArSi
B C
As
Mg
C
Cl
K
Symbol Li N Cl Ca K Al O Br Na
Group No
Charge
1 5 7 2 1 3 6 7 1
1+ 3- 1- 2+ 1+ 3+ 2- 1- 1+
1 2 3 4 5 6 7 0
Activity
© Boardworks Ltd 2003
The formulae of ionic compounds
This is most quickly done in 5 stages.
Remember the total + and – charges must =zero
• Eg. The formula of calcium bromide.
1. Symbols: Ca Br
2. Charge on ions 2+ 1-
3. Need more of Br
4. Ratio of ions 1 2
5. Formula CaBr2
Br
Ca
Br
Ca2+
Br-
Br-
2 electrons
© Boardworks Ltd 2003
• Eg. The formula of aluminium bromide.
1. Symbols: Al Br
2. Charge on ions 3+ 1-
3. Need more of Br
4. Ratio of ions 1 3
5. Formula AlBr3
BrAl
Br
Br
3 electrons
Al3+ Br-
Br-
Br-
The formulae of ionic compounds
© Boardworks Ltd 2003
• Eg. The formula of aluminium oxide.
1. Symbols: Al O
2. Charge on ions 3+ 2-
3. Need more of O
4. Ratio of ions 2 3 (to give 6 e-)
5. Formula Al2O3
OAl
O
OAl
2e-
2e-
2e-
Al3+
O2-
O2-
O2-
Al3+
The formulae of ionic compounds
© Boardworks Ltd 2003
• Eg. The formula of magnesium chloride.
1. Symbols: Mg Cl2. Charge on ions3. Need more of4. Ratio of ions5. Formula
2+ 1-
Cl1:2
MgCl2
Cl
MgCl
1e-
1e-
Cl-Mg2+
Cl-
The formulae of ionic compoundsActivity
© Boardworks Ltd 2003
• Eg. The formula of sodium oxide.
1. Symbols: Na O2. Charge on ions3. Need more of4. Ratio of ions5. Formula
ONa
Na 1e-
1e- Na+
O2-
Na+
1+ 2+
Na
2 : 1
Na2O
ActivityThe formulae of ionic compounds
© Boardworks Ltd 2003
• Using the method shown on the last few slides,
work out the formula of all the ionic compounds
that you can make from combinations of the
metals and non-metals shown below:
•Metals: Li Ca Na Mg Al K
•Non-Metals: F O N Br S Cl
Activity
© Boardworks Ltd 2003
Reacting Mass Industrial Processes
• Industrial processes use tonnes of reactants not grams.
• We can still use equation and formula masses to calculate
masses of reactants and products.
• We simply swap grams for tonnes.
• E.g. What mass of CaO does 200 tonnes of CaCO3 give?
CaCO3 CaO + CO2
100 56 44
So 100 tonnes would give ? tonnes
And 200 tonnes will give
Scale factor =
So mass of CaO formed = ? tonnes =
56
more
200/100 =2
2 x 56 112 tonnes
© Boardworks Ltd 2003
• Iron is extracted from iron oxide Fe2O3
• E.g. What mass of Fe does 100 tonnes of Fe2O3
give?
Fe2O3 + 3CO 2Fe + 3CO2
160 84 112 + 132
So 160 tonnes would give ? tonnes
And 100 tonnes will give
Scale factor =
So mass of Fe formed = ? =
112
less
100/160 =0.625
0.625 x 112 70 tonnes
Activity
© Boardworks Ltd 2003
• Ammonia is made from nitrogen and hydrogen
• E.g. What mass of NH3 is formed when 50 tonnes of N2 is completely converted to ammonia?
N2 + 3H2 2NH3
28 6 34
So 28 tonnes would give ? tonnes
And 50 tonnes will give than 28 tonnes
Scale factor =
So mass of NH3 formed = ? =
34
more
50/28 =1.786
1.786 x 34 60.7 tonnes
Activity
© Boardworks Ltd 2003
Which of these does NOT exist as a diatomic
molecule (2 bonded atoms)?
1. Nitrogen
2. Oxygen
3. Calcium
4. Chlorine
© Boardworks Ltd 2003
How many oxygen atoms are represented in the
formula Pb(NO3)2?
1. One
2.Two
3.Three
4.Six
© Boardworks Ltd 2003
What is the formula mass of MgCl2 ?
Mg=24 Cl=35.5
1. 59.5
2. 83.5
3. 95
4. 119
© Boardworks Ltd 2003
What is the formula mass of Mg(OH)2 ?
Mg=24 O=16 H = 1
1. 41
2. 42
3. 57
4. 58
© Boardworks Ltd 2003
What is the percentage nitrogen in ammonium
sulphate (NH4)2SO4?
1. 21%
2. 42%
3. 63%
4. 84%
© Boardworks Ltd 2003
What is the formula of a compound containing
1.4g nitrogen and 3.2g of oxygen? (N=14
O=16)
1. N2O
2. NO
3. NO2
4. N2O3
© Boardworks Ltd 2003
What is the formula of a compound containing
6.5g zinc and 1.6g oxygen?
(Zn=65 O=16)
1. ZnO
2. Zn2O3
3. ZnO2
4. Zn2O
© Boardworks Ltd 2003
What is the formula of a compound formed
between Cr3+ ions and O2- ions?
1. CrO
2. Cr2O3
3. CrO2
4. Cr3O2
© Boardworks Ltd 2003
What is the formula of a compound formed
between Cr3+ ions and OH- ions?
1.CrOH3
2.Cr3OH
3.Cr(OH)3
4.Cr2OH3
© Boardworks Ltd 2003
What is the word equation for the reaction
described below?
A small piece of strontium metal was added to
water. It fizzed giving off hydrogen gas leaving an
alkaline solution of strontium hydroxide.
1.Strontium + water hydrogen + strontium hydride
2.Strontium + water oxygen + strontium hydroxide
3.Strontium + water hydrogen + strontium hydrate
4.Strontium + water hydrogen + strontium hydroxide
© Boardworks Ltd 2003
What numbers a - d are needed to balance the
equation?
Strontium + water hydrogen + strontium hydroxide
a Sr + b H2O c H2 + d Sr(OH)2
1 a=1 b=1 c=1 d=1
2 a=1 b=2 c=1 d=1
3 a=1 b=1 c=2 d=1
4 a=1 b=1 c=1 d=2
© Boardworks Ltd 2003
What is the mass of 2 moles of magnesium
nitrate Mg(NO3)2?
1. 86g
2. 134g
3. 148g
4. 296g
© Boardworks Ltd 2003
How many moles of iron atoms is 280g of iron?
(Fe=56)
1. One mole
2. Two moles
3. Four moles
4. Five moles
© Boardworks Ltd 2003
When iron rusts it forms the iron oxide Fe2O3.
What mass of oxygen reacts with 112g of iron?
(Fe=56 O=16)
1. 1g
2. 16g
3. 48g
4. 168g