Percentage yield:
Is the measure of conversion of reactants to products. It is a measure of the
waste of the reactants
- When we think about reactions, we always think of
them as going 100% to products.
- This is usually not the case due to:
1 |
Equilibria: |
The reaction may not go to completion. |
2 |
Side reactions: |
This will produce 'by - products' reducing the
amount of desirable product. |
3 |
Reactant purity: |
The reactants may be impure meaning you have
started with less than you thought you did. |
4 |
Transfers: |
Every time you move your reactants / products
from one place to another, you will leave some behind. |
5 |
Separation / purification: |
This inevitable results n the loss of product. |
- Percentage yield is like a score in a test. It is an
indication of what you achieved out of what you could have got:
|
% Yield
= |
Actual amount of
product (moles) |
x100 |
|
Theoretical amount
of product (moles) |
The rules:
1 |
Write a balanced chemical equation |
2 |
Identify the limiting reactant |
3 |
Calculate the theoretical amount
of moles of product starting from the limiting reactant |
4 |
Calculate the actual amount of
moles of product obtained |
5 |
Calculate % yield using the
formula |
Examples:
A)
Preparation of ethanoic acid:
A student reacted
9.20g of ethanol with and excess of sulphuric acid and sodium dichromate (the
oxidising agent). The student obtained 4.35g of ethanoic acid.
Calculate the %
yield:
1) Write
a balanced chemical equation:
CH3CH2OH |
+ |
2[O] |
à |
CH3COOH |
+ |
H2O |
2) Identify the limiting reactant
- You are told in the question that you have an excess
of sulphuric acid and sodium dichromate.
- This means that the limiting reactant is ethanol.
3) Calculate the theoretical amount of moles of
product starting from the limiting reactant:
- Calculate the amount of moles of ethanoic acid you
could have made:
CH3CH2OH |
+ |
2[O] |
à |
CH3COOH |
+ |
H2O |
9.20g |
|
|
|
|
|
|
i |
|
|
|
|
|
|
Moles = |
mass / Mr |
|
|
|
|
|
|
Moles = |
0.200 moles |
|
|
à |
Theoretical Moles |
0.200 moles |
|
|
4) Calculate the actual amount of
moles of product obtained:
- Calculate the number of moles you actually made:
CH3CH2OH |
+ |
2[O] |
à |
CH3COOH |
+ |
H2O |
|
|
|
|
4.35g |
|
|
|
|
|
|
i |
|
|
|
|
|
|
|
Moles = |
mass / Mr |
|
|
|
|
|
|
|
Actual Moles |
0.0725 moles |
|
|
5) Calculate % yield using the
formula:
% Yield |
= |
Actual number of moles |
x |
100 |
|
|
Theoretical number of moles |
|
|
|
|
|
|
= |
0.0725 |
x |
100 |
|
|
0.200 |
|
|
|
|
|
|
= |
36.25% |
|
|
B)
Preparation of propyl methanoate
A student prepared
propyl methanoate from propan - 1 - ol and methanoic acid.
The students
reacted 3.00g of propan - 1 - ol witth 2.50g of methanoic acid in the presence
of a sulphuric acid catalyst. He was disappointed to obtain only 1.75g of
propyl methanoate.
Calculate the %
yield of propyl methanoate:
1) Write
a balanced chemical equation:
CH3CH2CH2OH |
+ |
HCOOH |
à |
HCOOCH2CH2CH3 |
+ |
H2O |
2) Identify the limiting reactant
- You are given 2 starting amounts which means you have
to work out which one is the limiting reactant:
CH3CH2CH2OH |
+ |
HCOOH |
à |
HCOOCH2CH2CH3 |
+ |
H2O |
3.00g |
|
2.50g |
|
|
|
|
i |
|
i |
|
|
|
|
Moles = |
mass / Mr |
|
Moles = |
mass / Mr |
|
|
|
|
Moles = |
3.00 /
60.0 |
|
Moles = |
2.50 /
46.0 |
|
|
|
|
Moles =
|
0.0500 |
|
|
0.0543 |
|
|
|
|
- Propan - 1 - ol is the limiting reactant so the
theoretical calculation must be made using this
3) Calculate the theoretical amount of moles of
product starting from the limiting reactant:
- Calculate the amount of moles of ethanoic acid you
could have made:
CH3CH2CH2OH |
+ |
HCOOH |
à |
HCOOCH2CH2CH3 |
+ |
H2O |
3.00g |
|
|
|
|
|
|
i |
|
|
|
|
|
|
Moles = |
mass / Mr |
|
|
|
|
|
|
|
Moles = |
3.00 /
60.0 |
|
|
|
1:1 |
|
|
|
Moles =
|
0.0500 |
|
|
|
à |
Theoretical Moles = |
0.0500 |
|
|
4) Calculate the actual amount of
moles of product obtained:
- Calculate the number of moles you actually made:
CH3CH2CH2OH |
+ |
HCOOH |
à |
HCOOCH2CH2CH3 |
+ |
H2O |
3.00g |
|
|
|
1.75g |
|
|
i |
|
|
|
i |
|
|
|
|
|
|
|
|
Moles = |
mass / Mr |
|
|
|
|
|
|
|
|
Moles = |
1.75 /
88.0 |
|
|
|
|
|
|
|
|
Actual Moles = |
0.0199 |
|
|
5) Calculate % yield using the
formula:
% Yield |
= |
Actual number of moles |
x |
100 |
|
|
Theoretical number of moles |
|
|
|
|
|
|
= |
0.0199 |
x |
100 |
|
|
0.050 |
|
|
|
|
|
|
= |
39.8% |
|
|
Questions P163 1-2
Atom economy:
Is the measure of the waste associated with the products
- % yield tells us how much of our product is made from
our starting materials but it doesn't take into account any undesirable or
side products.
- Atom economy takes into account any wasteful by
products too
- By products are considered wasteful as they are
usually disposed of. This is costly and can cause environmental
problems.
- A more efficient way of dealing with by products
would be to sell them on to companies that would make use of them.
Atom economy |
= |
Mr of the desired product |
x |
100 |
|
|
Sum
of Mr's of all products |
Calculating atom economy:
A) Bromination of propene:
Atom economy |
= |
Mr of the desired product |
x |
100 |
|
|
Sum
of Mr's of all products |
|
|
|
|
|
|
= |
201.8 |
x |
100 |
|
|
201.8 |
|
|
|
|
|
|
= |
100% |
|
|
- Any reaction that gives only one product is very atom
economic, addition reactions for example.
B) Preparation of butan - 1 - ol:
Atom economy |
= |
Mr of the desired product |
x |
100 |
|
|
Sum
of Mr's of all products |
|
|
|
|
|
|
= |
74.0 |
x |
100 |
|
|
176.9 |
|
|
|
|
|
|
= |
41.8% |
|
|
- This means that most of the starting materials ended
up as waste.
Atom economy and type of reaction:
- Reactions having only one product have a high atom
economy. The type of reactions giving only one product are addition
reactions.
- Reactions giving more than one product have a low
atom economy. The type of reactions giving more than one product are
substitution / elimination reactions.
- To improve the atom economy for substitution /
elimination reactions, a use for the undesired product should be found.
- If the undesired product is toxic, we have even
bigger problems -disposal.
Questions P165 1-2
Infrared
spectroscopy
Infrared radiation and molecules:
- All molecules absorb IR light.
- The IR light makes the bonds in a molecule vibrate
(like the engine of a bus making the windows vibrate).
- Vibrations occur in one of 2 ways, a stretching
vibration or a bending vibration:
- Every bond vibrates at its own unique frequency
depending on:
1) Bond strength
2) Bond length
3) Mass of atom at either end of the bond
How it works:
-
The
full IR spectrum is passed through a sample.
-
The
frequencies are called wavenumbers - 300 - 4000cm-1
-
Some frequencies make some of the bonds in a molecule vibrate
-
When these bonds vibrate they absorb energy from the IR light source.
-
This means less IR light gets through the sample to the detector.
-
Each absorbance
peak is characteristic of a particular bond / atoms vibrating.
-
A
trace which we call a spectrum is produced.
What does the
spectrum look like:
-
The spectrum
gives us 'peaks' which are actually absorbance troughs.
-
These troughs
are caused by a frequency of IR light being absorbed from a bond vibrating
bond.
-
Each 'peak'
is characteristic to a specific bond / atoms
Applications of IR spectroscopy:
- It is used widely in forensic science analysing:
- Paint fragments in hit and run offences
- Monitor unsaturation in polymerisation
- Drug analysis P167
- Perfume quality control
Questions P167 1-3
Infrared spectroscopy:
Functional groups
Identification of functional groups:
- We have just seen that the peak on an IR spectra are
due to specific bonds (and atoms) vibrating or stretching.
- The frequency at which you find an absorbance peak is
therefore unique to bonds and atoms at each end of the bond.
- This means that functional groups will give specific
peaks.
- The groups you need to know are:
Bond |
Functional group |
Wavenumber |
C=O |
Aldehydes, ketones, carboxylic acids |
1640 - 1750 |
C- H |
Organic conpounds |
2850 - 3100 |
O- H |
Carboxylic acids |
2500 - 3300 (very broad) |
O- H |
Alcohols (hydrogen bonded) |
3200 - 3550 (broad) |
- Do not get the peaks for C - H bonds confused with O
- H bonds.
Alcohols:
- The IR spectrum for methanol, CH3OH is
shown below:
- The peak at 3230 - 3500 represents an O - H group in
alcohols.
Aldehydes and ketones:
- The IR spectrum for propanal, CH3CHO is
shown below:
- The peak at 1680 - 1750 represents a C=O group in
aldehydes and ketones.
Aldehydes and ketones:
- The IR spectrum for propanoic acid, CH3CH2COOH
is shown below:
- The peak at 2500 - 3300 represents an O - H group in
a carboxylic acid.
- The peak at 1680 - 1750 represents a C=O group in a
carboxylic acid.
Questions P169 1-2
Mass Spectrometry
Uses of mass spectroscopy:
- First developed by JJ Thompson at the start of the
20th Century.
- It is used:
- To identify unknown compounds.
- To determine the abundance of isotopes
- To gain further information about the structure and
chemical properties of molecules.
Examples:
- To examine patients breath while under anaesthetic.
- Detecting banned substances - steroids in athletes.
- Detecting traces of toxic chemicals in contaminated
marine life
How a mass spectrometer works:
Deflection |
Time of flight |
- The sample is vaporised
then ionised
= mass / charge.
- Ionisation is done
by electron impact, chemical ionisation, electrospray or lasers.
- Electroplates repel and
accelerate the ion into the
chamber.
- A strong magnetic field
deflects the beam of ions.
- This is
used to determine mass / charge.
- The ion
with a large mass is deflected less and hits
the outer edge.
- The ion
with a small mass is deflected most hits
the inside edge.
- Only if the ion has the correct
mass
/ charge ratio will it reach the detector.
- The magnetic field strength can be
varied to get a range of mass / charge readings.
|
- The sample is vaporised
then ionised
= mass / charge.
- Ionisation is done
by electron impact, chemical ionisation, electrospray or lasers.
- Electroplates repel and
accelerate the ion into the
chamber.
- A short time of flight
= small mass / charge
- A long time of flight =
large mass / charge
- The time taken to reach
the detector determine the mass / charge of the ion.
|
Mass spectra of elements:
- One of the most important uses is to determine the
isotopes present in a natural sample of an element.
- A mass spectrum shows the mass charge (the Ar) and
the abundance as a %.
- This information can be used to determine the
relative atomic mass:
From mass spectra |
From table of data |
|
RAM of silicon isotopes |
% Abundance |
28 |
92.2 |
29 |
4.7 |
30 |
3.1 |
|
Use
the formula:-
RAM = (% x Ar) + (% x Ar) +
....etc
100
|
Use
the formula:-
RAM = (% x Ar) + (% x Ar) +
....etc
100
|
RAM = (90.9 x 20) + (0.2 x 21) + (8.9 x 22)
100
|
RAM = (92.2 x
28) + (4.7 x 29) + (3.1 x
30)
100
|
RAM = 20.8 |
RAM =
28.1 |
Questions 1-2 P171
Mass spectrometry in organic chemistry
Mass spectrometry and molecules:
- Ionisation in a mass spectroscope is usually done by
electron bombardment.
- Electron bombardment knocks another electron out of
the molecule producing a positive molecular ion:
C2H5OH |
+ |
e- |
à |
C2H5OH+ |
+ |
2e- |
- This is called the molecular ion, M+.
- The mass of the electron lost electron is negligible.
- The molecular ion has the same mass as the Mr of the
molecule.
- As we have a mass and a charge we can use a mass
spectrometer to determine the Mr (m/z).
Fragmentation:
- Excess energy from the ionisation process causes
bonds in the organic molecule to vibrate and weaken.
- This causes the molecule to split or fragment
into smaller pieces.
- Fragmentation gives a positively charged
molecular fragment ion and a neutral molecule:
- The fragment ion,
CH2OH+
has a mass and charge so we can use a mass spectrometer to determine the Mr
(m/z) of that fragment.
- Fragment ions can be broken up further to give a
range of m/z values.
- The m/z values correspond to the Mr's of the molecule
and its fragments.
- The Mr of the molecule is always the highest m/z
value - ie this molecule has not been fragmented so it must have the highest
Mr.
- The one below is for ethanol. It has a m/z of
46 which is also its Mr.
Fragmentation patterns:
- Mass spectroscopy is used to identify and determine
the structures of unknown compounds.
- Although 2 isomers will have exactly the same M+
peak, the fragmentation patterns will be unique to that molecule, like a
fingerprint.
- In practice mass spectrometers are linked to a
database and the spectra is compared until an exact match is found:
- These are the mass spectra for pentane and a
structural isomer of pentane, 2 methyl butane.
- The M+ peak is the same for each
but the fragmentation patterns are different.
Questions 1-2 P173
Mass spectrometry:
Fragmentation patterns
Identifying fragment ions:
- When you look at a mass spectrum, other peaks seem to
look more important than the M+ peak.
- These fragment peaks give clues to the structure of
the compound.
- Even simple structures give common peaks that can be
identified:
m/z value |
Possible identity
of the fragment ion |
15 |
CH3+ |
29 |
C2H5+ |
43 |
C3H7+ |
57 |
C4H9+ |
17 |
OH+ |
- Functional groups are a good place to start, OH = m/z
of 17
- Some fragments are more difficult to identify as
these will have undergone molecular rearrangement.
Identification of organic structures:
- A mass spectrum will not only tell you the Mr (from
the M+ peak), but it can also tell you some of the
structural detail.
- These peaks have been labelled with a letter:
- The mass spectrum above has been produced from
hexane.
- The following reactions show how the molecule could
fragment to form the fragment ions 57 and 43:
Questions 1-2 P175 / 14
P179 / 3 P181