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Moles and ConcentrationA Teaching Resource
Dr Jennie Litten-Brown Dr Colin Litten-BrownBecky Morgan Contact: [email protected]
Sponsored by
Progress South Central Lifelong Learning Networkwww.progresssouthcentral.org.uk
The University of Readingwww.reading.ac.uk
This document has been prepared where possible using guidelines provided by the British Dyslexia Association.
www.reading.ac.uk
The purpose of this presentation is to introduce the concept of moles in relation to concentrations of solutions.
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5
Teaching Aims
Teaching Aims• To understand the principle of moles.
• To introduce the basic measurements of concentration
and to illustrate how an understanding of moles is
important in expressing concentration.
6
7
Why learn about moles?
• By ‚moles‛ we are, of course, referring to
the unit of measurement of substances,
not the cute furry animals found in the
garden.
• So, what is a mole? Here is a definition:
‘The mole is the amount of substance of
a system which contains as many
elementary entities as there are atoms
in 12g of carbon 12; its symbol is ‚mol‛.’
Moles
8
Moles• In 12 grams of Carbon-12 there are:
– 6.02 x 1023 atoms.
– This is called Avogadro’s number
• One mole of any other substance
also contains this number of atoms.
• One mole of a pure substance has
a mass in grams equal to its
molecular weight.
9
• In a periodic table of the chemical
elements, the molecular weight is
normally given or can be calculated.
• For example, oxygen has an atomic
weight of 15.9994 g.mol-1 (usually
rounded up to 16 for convenience).
• As oxygen exists as O2, the molecular
weight is 31.9988 (or 32).
10
Periodic Table
Molecular Weight• By using the periodic table and the atomic
weights of elements, the molecular weight
of more complex molecules can be
calculated by adding their constituent
atoms together.
• For example, a molecule of sodium chloride
of NaCl (salt) is composed of an atom of
sodium (atomic weight 23g.mol-1) and one
of chlorine (atomic weight 35.5g.mol-1).
• The molecular weight of salt is therefore
approximately 23 + 35.5 = 58.5 g.mol-1. 11
Hypothesis Testing• So, why are moles useful?
• Understanding moles is useful when you are looking
at the concentration of one substance in another.
• When mixing two substances there is always a solute
(the substance being added e.g. salt) and a solvent
(the substance into which the solute is added
e.g. water).
12
Concentration• There are many ways of expressing
concentration but they are all a measure
of the amount of solute in solvent.
• Concentrated solutions are those in
which the level of solute is increased
(and solvent decreased).
• Dilute solutions are those in which the
level of solute is decreased (and solvent
increased).
13
ConcentrationSome ways of expressing concentration are:
– Mass percentage (solute & solvent are mixed by weight)
– Mass-volume percentage (mass of solute in a given volume of solvent)
– Volume-volume percentage (solute & solvent are mixed by volume)
– ‘Parts-per’ (e.g. parts per million – compares amount of solute in solvent
using the same units e.g. 1g solute in 1million g solvent = 1ppm).
– Molarity (number of mols of solute in a given volume of solution e.g. mol/l)
– Molality (number of mols of solute in a given mass of solvent e.g. mol/kg)
– Mole fraction (number of mols of solute as a proportion of the total
number of mols in a solution)
14
Concentration• In scientific applications it is
common to refer to solutions
in terms of molarity.
• Often when performing laboratory-
based analyses, the reagents used
will be supplied in a specific
concentration e.g. a molar solution.
• We will now look at how you go
about calculating molarity.
15
Molarity• Molarity is given by the number of
moles of a solute in a given volume
of solvent.
• For example, in an earlier slide we
found that the molecular weight of
salt (NaCl) is about 58.5g.mol-1.
• If we were to dissolve 58.5g of salt in
water (made up to a total volume of 1
litre) we would have 58.5g or 1 mole
of salt in 1 litre of solution. This is a
MOLAR solution.16
Molarity• Molarity is given by the simple equation:
• So, if we were to add 117g of salt to our vessel and
make it up to 1 litre with water, we would have a
molarity of:
• Molarity is usually expressed by the symbol ‘M’.
17
Moles of soluteLitres of solution
= Molarity of solution
21
= 2M
Molarity• By way of contrast, molality is given by the simple
equation:
• So, if we were to add 58.5g of salt to 1kg of water,
we would have a molality of:
• Molality is usually expressed with the symbol ‘m’.
18
Moles of soluteKilograms of solvent
= Molality of solution
11
= 1m
Conclusion• So, you can see that by understanding moles
we can understand the concentration of one
substance in another.
19
Answers1. What is the molecular weight of NaOH?
2. What molarity are the following solutions?
– 1 litre water containing 80g NaOH
– 1 litre water containing 186g KCl
– 2 litres water containing 80g NaOH
– 1 litre water containing 24.5g CuSO4.5H2O
3. What mass of NaOH is needed to make a 1M solution?
4. What mass of NaOH is needed to make 4 litres
of a 2.5M solution?
Answers1. What is the molecular weight of NaOH? = 40g.mol-1
2. What molarity are the following solutions?
– 1 litre water containing 80g NaOH = 2M
– 1 litre water containing 186g KCl = 2.5M
– 2 litres water containing 80g NaOH = 1M
– 1 litre water containing 24.5g CuSO4.5H2O = 0.1M
3. What mass of NaOH is needed to make a 1M solution?
= 40g
4. What mass of NaOH is needed to make 4 litres
of a 2.5M solution? = 400g
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