Writing Formulae and Balancing Equations

The Mole

The masses of atoms

Relative Atomic Mass

The mass of an atom is tiny. A single hydrogen atom is only about 0.000 000 000 000 000 000 000 002 grams!

Dealing with such small numbers is difficult. Therefore, scientists found a simpler way of comparing the mass of different atoms.

They chose the carbon atom and compared all the other atoms with it. Since a carbon atom consists of 6 protons and 6 neutrons, they gave it a mass of 12 units (they ignored the electrons).

The mass of an atom relative to that of carbon-12 is called the Relative Atomic Mass.

If we compare the mass of a hydrogen atom with that of the carbon-12, we find its mass is a 1/12th of the carbon-12 atom. Therefore, a hydrogen atom is assigned the mass unit 1.

When a magnesium atom was compared, its mass was found to be twice that of carbon-12, therefore magnesium was assigned the mass unit 24.

Mass and Isotopes

Many elements possess atoms with differing masses due to them having different numbers of neutrons.

The atoms shown above belong to the isotopes of chlorine. They have different masses because one has two more neutrons than the other. Also it was found that chlorine-35 is more abundant than chlorine-37. For every four chlorine atoms, one will be a chlorine-37 the other three will be chlorine-35. Therefore, the average mass of a chlorine atom is 35.5.

The presence of isotopes and their abundances must be taken into account when calculating Relative Atomic Mass (RAM).

The RAM of an element is the average mass of its isotopes relative to an atom of carbon-12.

Avogadro’s Number

The Magic Number!

If you calculate the RAM of a substance, and then weigh out that number of grams of the substance you can calculate the number of atoms or molecules that it contains.

Carbon has a RAM of 12, if you were to weigh out exactly12 grams of carbon it would contain 602 000 000 000 000 000 000 000 carbon atoms.

This is called a mole of atoms. The number is called Avogadro's number, usually written as 6.02 x 10 .

Examples:
1. 24 grams of magnesium would contain 6.02 x 10 magnesium atoms.
2. 56 grams of iron would contain 6.02 x 10 iron atoms.

3. 18 grams of water would contain 6.02 x 10 water molecules.

One mole of a substance is 6.02 x 10particles of that substance. It is obtained by weighing out the RAM or the formula mass in grams.

Formulae of Compounds

What information can we get from a chemical formula

The formula of water is HO. This is because 1 atom of oxygen combines with 2 atoms of hydrogen.

Alternatively, we can say that 1 mole of oxygen atoms combines with 2 moles of hydrogen atoms to form 1 mole of water molecules.

Moles can be changed to grams; therefore we can say 16 grams of oxygen combine with 2 grams of hydrogen to form 18 grams of water.

The formula of carbon dioxide is CO .This is because 1 atom of carbon combines with 2 atoms of oxygen.

Therefore, 12 grams of carbon combine with 32 grams of oxygen to form 44 grams of carbon dioxide.

Alternatively, 1 mole of carbon atoms combine with 2 moles of oxygen atoms to produce 1 mole of carbon dioxide.

To find the formula of a compound

1. Start with the number of grams that combine

2. Change the grams to moles

3. This gives you the ratio which they combine

4. So now you know the formula

A formula obtained in this way is called the Empirical Formula.

Example:

1. 32 grams of sulphur react with 32 grams of oxygen

2. 1 mole of sulphur reacts with 2 moles of oxygen

3. Ratio of 1:2

4. Formula SO - sulphur dioxide

Finding mass by experiment

The Reaction between Magnesium and Oxygen

The apparatus below is used to calculate the mass of magnesium oxide, but firstly you must know the masses of the elements that combine.

Method:

1. Weigh the mass of the crucible and lid

2. Add a coil of magnesium ribbon and reweigh.

3. Heat crucible strongly, lifting lid occasionally to allow oxygen in.

4. When burning is complete allow the apparatus to cool.

5. With the lid on reweigh the crucible and its contents.

Results:

mass of magnesium oxide - mass of magnesium = mass of oxygen
4.0g - 2.4g = 1.6g

2.4g of magnesium = 0.1 moles

1.6g of oxygen = 0.1 moles

Therefore the ratio of magnesium to oxygen used is 1:1

Conclusion:
The formula of magnesium oxide is MgO

Writing Equations

How to write an equation

Four steps to writing equations:

1. Write the equation in words

2. Write the equation in symbols. Check that you are using the correct formulae.

3. Check that the equation is balanced. Balancing means that you have the same number of atom on one side as you do on the other. The reason for balancing is because atoms are not lost or created during a reaction. Remember when you balance you multiply the whole formulae whether its an element or molecule - you do not change its formulae.

4. Add state symbols.

Example 1:

Magnesium burns in oxygen to produce magnesium oxide.

Because oxygen has two atoms on the left, we multiply by 2 the MgO so that we now have 2 oxygen atoms on the right.

However we now have two magnesium atoms on the right, so we need to multiply Mg by 2 on the left to balance.

Example 2:

Hydrogen gas reacts with oxygen gas to form water when a spark is placed in the mixture.

There are two oxygen atoms on the left but only one on the right. Hence we need to multiply the HO on the right by 2. This gives us two oxygen atoms on both sides but we are now left with only two hydrogens on the left and four hydrogen atoms on the right. Therefore, we multiply the H
by 2.