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4.1-4.3 Symbols, equations and Formulae 

Chemical formulae

  • The structural formula describes how the atoms of a given molecule are connected.

  • This can be done with either a diagram (shown formula) or a written formula (simplified structural formula), The empirical formula determines the simplest whole-number ratio of each element's atoms in a compound.

  • The molecular formula indicates how many atoms of each element are present in one molecule of the compound or element.

  • E.g. H2 has two hydrogen atoms, while HCl contains one hydrogen atom and one chlorine atom.

Butane = Structural formula

  • Structural formula (simplified)

CH3CH2CH2CH3

  • Molecular formula

C4H10

  • Empirical formula

C2H5

Using valency to deduce formulas

  • The concept of valency is utilized to deduce compound formulas.

  • The valency, or combining power, of an atom indicates how many bonds it can form with another atom. Carbon, for example, belongs to Group IV, which means that a single carbon atom can form four single bonds or two double bonds.

  • Each group's constituents have the following valencies:

What is the formula of aluminium sulfide?

Ionic Compound Formulae Deduction

  • If you know the charge on the ions, you can compute the formulas for these compounds.

  • The charges of several common ions are listed below. The table includes a number of common compound ions.

  • These ions are referred to as polyatomic ions by certain chemists.

The Charges of Common Ions Table

  • The overall sum of the charges of an ionic compound should be 0

  • You therefore need to work out the ratio of the ions to ensure this is the case

  • When you write the formula of a compound ion it is necessary to use brackets around the compound ion where more than one of that ion is needed in the formula

  • For example copper(II)hydroxide is Cu(OH)2

What is the formula of?

  1. sodium bromide

  2. aluminium fluoride

  3. aluminium oxide

  4. magnesium nitrate

Writing Equations and Balancing

Word Equations

  • These show the reactants and products of a chemical reaction using their full chemical names

  • The arrow (which is spoken as “goes to” or “produces”) implies the conversion of reactants into products

  • Reaction conditions or the name of a catalyst can be written above the arrow

  • An example of an word equation for neutralisation is:

sodium hydroxide + hydrochloric acid  →   sodium chloride + water

  • The reactants are sodium hydroxide and hydrochloric acid

The products are sodium chloride and water 💦

Compounds' names

For compounds consisting of 2 atoms:

  • If one is a metal and the other a nonmetal, then the name of the metal atom comes first and the ending of the second atom is replaced by adding -ide

    • E.g NaCl which contains sodium and chlorine thus becomes sodium chloride

  • If both atoms are nonmetals and one of those ishydrogen, then hydrogen comes first

    • E.g. Hydrogen and chlorine combined is called hydrogen chloride

  • For other combinations of nonmetals as a general rule, the element that has a lower group number comes first in the name

  • E.g. carbon and oxygen combine to form CO2 which is carbon dioxide since carbon is in Group 4 and oxygen in Group 6

  • For compounds that contain certain groups of atoms:

    • There are common groups of atoms which occur regularly in chemistry

      • Examples include the carbonate ion(CO32-), sulfate ion (SO42-), hydroxide ion (OH-) and the nitrate ion (NO3-)

    • When these ions form a compound with a metal atom, the name of the metal comes first

  • E.g. KOH is potassium hydroxide, CaCO3 is calcium carbonate

Writing and balancing equations

  • Chemical equations use the chemical symbols of each reactant and product

  • When balancing equations, there needs to be the same number of atoms of each element on either side of the equation

  • The following nonmetals must be written as molecules: H2, N2, O2, F2, Cl2, Br2 and I2

  • Work across the equation from left to right, checking one element after another

  • If there is a group of atoms, for example a nitrate group (NO3-) that has not changed from one side to the other, then count the whole group as one entity rather than counting the individual atoms.

    • Examples of chemical equations:

      • Acid-base neutralisation reaction:
        NaOH (aq) + HCl (aq)  ⟶ NaCl (aq) + H2O (l)

      • Redox reaction:
        2Fe2O3 (aq) + 3C (s) ⟶ 4Fe (s) + 3CO2 (g)

  • n each equation there are equal numbers of each atom on either side of the reaction arrow so the equations are balanced

  • The best approach is to practice lot of examples of balancing equations

  • By trial and error change the coefficients (multipliers) in front of the formulae, one by one checking the result on the other side

  • Balance elements that appear on their own, last in the process

    Example 1 😻

Balance the following equation:

aluminium + copper(II)oxide ⟶ aluminium oxide + copper

Unbalanced symbol equation:

Al + CuO ⟶ Al2O3 + Cu

  • Sometimes it can be hard to know what the correct state symbol is and we have to look for clues in the identity of substances in a reaction

  • Generally, unless they are in a solution:

    • Metal compounds will always be solid, although there are a few exceptions

    • Ionic compounds will usually be solids

  • Non-metal compounds could be solids, liquids or gases, so it depends on chemical structure

  • Precipitates formed in solution count as solids

  • In the worked examples above the final equations with the state symbols would be

    • 2Al (s) + 3CuO (s) ⟶ Al2O3 (s) + 3Cu (s)

    • MgO (s)  + 2HNO3 (aq)  ⟶ Mg(NO3)2 (aq)  + H2O (l)

Balancing Ionic Equation

AR and MR

Relative atomic mass

  • The symbol for the relative atomic mass is Ar

  • The relative atomic mass for each element can be found in the periodic table along with the atomic number

  • Atoms are too small to accurately weigh but scientists needed a way to compare the masses of atoms

  • The carbon-12 is used as the standard atom and has a fixed mass of 12 units

  • It is against this atom which the masses of all other atoms are compared

  • Relative atomic mass (Ar*)* can therefore be defined as:

    • the average mass of naturally occurring atoms of an element on a scale where the 12C atom has a mass of exactly 12 units

  • The relative atomic mass of carbon is 12

    • The relative atomic mass of magnesium is 24 which means that magnesium is twice as heavy as carbon

    • The relative atomic mass of hydrogen is 1 which means it has one twelfth the mass of one carbon-12 atom

The relative atomic mass of an element can be calculated from the mass number and relative abundances of all the isotopes of a particular element using the following equation:

The table shows information about the Isotopes in a sample of rubidium

Relative formula mass Calculation

Calculating Percentage mass

Calculate the percentage of iron in iron(III) oxide, Fe2O3.

RAM (Ar): Fe = 63.5    O = 16

DM

4.1-4.3 Symbols, equations and Formulae 

Chemical formulae

  • The structural formula describes how the atoms of a given molecule are connected.

  • This can be done with either a diagram (shown formula) or a written formula (simplified structural formula), The empirical formula determines the simplest whole-number ratio of each element's atoms in a compound.

  • The molecular formula indicates how many atoms of each element are present in one molecule of the compound or element.

  • E.g. H2 has two hydrogen atoms, while HCl contains one hydrogen atom and one chlorine atom.

Butane = Structural formula

  • Structural formula (simplified)

CH3CH2CH2CH3

  • Molecular formula

C4H10

  • Empirical formula

C2H5

Using valency to deduce formulas

  • The concept of valency is utilized to deduce compound formulas.

  • The valency, or combining power, of an atom indicates how many bonds it can form with another atom. Carbon, for example, belongs to Group IV, which means that a single carbon atom can form four single bonds or two double bonds.

  • Each group's constituents have the following valencies:

What is the formula of aluminium sulfide?

Ionic Compound Formulae Deduction

  • If you know the charge on the ions, you can compute the formulas for these compounds.

  • The charges of several common ions are listed below. The table includes a number of common compound ions.

  • These ions are referred to as polyatomic ions by certain chemists.

The Charges of Common Ions Table

  • The overall sum of the charges of an ionic compound should be 0

  • You therefore need to work out the ratio of the ions to ensure this is the case

  • When you write the formula of a compound ion it is necessary to use brackets around the compound ion where more than one of that ion is needed in the formula

  • For example copper(II)hydroxide is Cu(OH)2

What is the formula of?

  1. sodium bromide

  2. aluminium fluoride

  3. aluminium oxide

  4. magnesium nitrate

Writing Equations and Balancing

Word Equations

  • These show the reactants and products of a chemical reaction using their full chemical names

  • The arrow (which is spoken as “goes to” or “produces”) implies the conversion of reactants into products

  • Reaction conditions or the name of a catalyst can be written above the arrow

  • An example of an word equation for neutralisation is:

sodium hydroxide + hydrochloric acid  →   sodium chloride + water

  • The reactants are sodium hydroxide and hydrochloric acid

The products are sodium chloride and water 💦

Compounds' names

For compounds consisting of 2 atoms:

  • If one is a metal and the other a nonmetal, then the name of the metal atom comes first and the ending of the second atom is replaced by adding -ide

    • E.g NaCl which contains sodium and chlorine thus becomes sodium chloride

  • If both atoms are nonmetals and one of those ishydrogen, then hydrogen comes first

    • E.g. Hydrogen and chlorine combined is called hydrogen chloride

  • For other combinations of nonmetals as a general rule, the element that has a lower group number comes first in the name

  • E.g. carbon and oxygen combine to form CO2 which is carbon dioxide since carbon is in Group 4 and oxygen in Group 6

  • For compounds that contain certain groups of atoms:

    • There are common groups of atoms which occur regularly in chemistry

      • Examples include the carbonate ion(CO32-), sulfate ion (SO42-), hydroxide ion (OH-) and the nitrate ion (NO3-)

    • When these ions form a compound with a metal atom, the name of the metal comes first

  • E.g. KOH is potassium hydroxide, CaCO3 is calcium carbonate

Writing and balancing equations

  • Chemical equations use the chemical symbols of each reactant and product

  • When balancing equations, there needs to be the same number of atoms of each element on either side of the equation

  • The following nonmetals must be written as molecules: H2, N2, O2, F2, Cl2, Br2 and I2

  • Work across the equation from left to right, checking one element after another

  • If there is a group of atoms, for example a nitrate group (NO3-) that has not changed from one side to the other, then count the whole group as one entity rather than counting the individual atoms.

    • Examples of chemical equations:

      • Acid-base neutralisation reaction:
        NaOH (aq) + HCl (aq)  ⟶ NaCl (aq) + H2O (l)

      • Redox reaction:
        2Fe2O3 (aq) + 3C (s) ⟶ 4Fe (s) + 3CO2 (g)

  • n each equation there are equal numbers of each atom on either side of the reaction arrow so the equations are balanced

  • The best approach is to practice lot of examples of balancing equations

  • By trial and error change the coefficients (multipliers) in front of the formulae, one by one checking the result on the other side

  • Balance elements that appear on their own, last in the process

    Example 1 😻

Balance the following equation:

aluminium + copper(II)oxide ⟶ aluminium oxide + copper

Unbalanced symbol equation:

Al + CuO ⟶ Al2O3 + Cu

  • Sometimes it can be hard to know what the correct state symbol is and we have to look for clues in the identity of substances in a reaction

  • Generally, unless they are in a solution:

    • Metal compounds will always be solid, although there are a few exceptions

    • Ionic compounds will usually be solids

  • Non-metal compounds could be solids, liquids or gases, so it depends on chemical structure

  • Precipitates formed in solution count as solids

  • In the worked examples above the final equations with the state symbols would be

    • 2Al (s) + 3CuO (s) ⟶ Al2O3 (s) + 3Cu (s)

    • MgO (s)  + 2HNO3 (aq)  ⟶ Mg(NO3)2 (aq)  + H2O (l)

Balancing Ionic Equation

AR and MR

Relative atomic mass

  • The symbol for the relative atomic mass is Ar

  • The relative atomic mass for each element can be found in the periodic table along with the atomic number

  • Atoms are too small to accurately weigh but scientists needed a way to compare the masses of atoms

  • The carbon-12 is used as the standard atom and has a fixed mass of 12 units

  • It is against this atom which the masses of all other atoms are compared

  • Relative atomic mass (Ar*)* can therefore be defined as:

    • the average mass of naturally occurring atoms of an element on a scale where the 12C atom has a mass of exactly 12 units

  • The relative atomic mass of carbon is 12

    • The relative atomic mass of magnesium is 24 which means that magnesium is twice as heavy as carbon

    • The relative atomic mass of hydrogen is 1 which means it has one twelfth the mass of one carbon-12 atom

The relative atomic mass of an element can be calculated from the mass number and relative abundances of all the isotopes of a particular element using the following equation:

The table shows information about the Isotopes in a sample of rubidium

Relative formula mass Calculation

Calculating Percentage mass

Calculate the percentage of iron in iron(III) oxide, Fe2O3.

RAM (Ar): Fe = 63.5    O = 16