Unit 1.3 - Chemical Calculations Flashcards
Relative atomic mass symbol
Ar
Why can atoms not be weighed?
They’re too small
What do we do as atoms are too small to be weighed?
Compare them to a standard - the C-12 isotope
What is the standard we compare atoms to?
The Carbon 12 isotope
What’s the mass of C-12 isotopes?
12 units
What can atoms of the same element have due to the existence of isotopes?
Different masses
What do we have to do to define relative atomic masses due to the existence of isotopes?
Take an “average” mass of the atoms
Does relative atomic mass (Ar) have units? Why?
No, as they’re ratios of units
What do all of the “relative….mass” definitions have reference to?
The C-12 isotope
Relative atomic mass (Ar)
The ratio of the average mass of an atom of the natural nuclidic composition of the element to 1/12 of the mass of an atom of the C-12 isotope
Relative isotopic mass
The ratio of the average mass of an atom of the element to 1/12 of the mass of an atom of the C-12 isotope
Relative molecular mass symbol
Mr
Relative molecular mass (Mr)
The ratio of the mass of a molecule of a chemical compound to 1/12 of the mass of an atom of the C-12 isotope
How do you calculate the relative molecular mass (Mr)?
Add up all of the relative atomic masses (top numbers), multiplying only by the small numbers and ignoring big ones, using the molecular formula
How are relative formula mass and relative molecular mass the same?
-Same definition
-Same symbol (Mr)
-Same calculation
How is relative formula mass different to relative molecular mass?
Relative molecular mass = Molecular formula
Relative formula mass = Empirical formula
What do we measure the amount of a substance in?
Moles
Mole
One mole is the amount of a substance which contains the same number of particles as there are atoms in 12g of the C-12 isotope
What is Avogadro’s Constant?
The number of atoms in one mole of an element
Avogadro’s constant symbol
NA
What is the number of atoms in one mole of an element?
Avogadro’s constant
How do we calculate the mass of 1 mole of an element in grams
Ar in grams (super easy!)
What’s the ratio of the average mass of an atom of the natural nuclidic composition of the element to 1/12 of the mass of an atom of the C-12 isotope?
Relative atomic mass (Ar)
What’s the ratio of the average mass of an atom of an element to 1/12 of the mass of an atom of the C-12 isotope?
Relative isotopic mass
What’s the ratio of the mass of a molecule of a chemical compound to 1/12 of the mass of an atom of the C-12 isotope?
Relative formula mass (Mr)
What’s the amount of a substance which contains the same number of particles as there are atoms in 12g of the C-12 isotope?
A mole
What does the mass spectrometer do?
Accurately measures relative atomic masses
What do we obtain from a mass spectrometer?
A mass spectra, which has a wide variety of uses in labs
What’s the order of the processes that take place within the mass spectrometer?
-Vaporisation
-Ionisation
-Acceleration
-Deflection
-Detection
Where does the vaporised sample enter in order to be ionised in the mass spectrometer?
The ionisation chamber
Why must our sample into the mass spectrometer be vaporised?
You can only ionise vapour
How does the ionisation stage within the mass spectrometer work?
The electron gun gives out high energy electrons, which knock the electron out of an atom in the gaseous sample due to its speed, thus ionising them
Why is ionisation necessary in the mass spectrometer in order to accurately measure relative atomic masses?
-Only ions will create a current when hitting the detector
-We want ions, not molecules to interact with the magnetic field
What happens during the acceleration stage to ions within the mass spectrometer?
They’re sped up by a magnetic field until they’re all at the same speed into a finely focused beam
How are ions sped up in the mass spectrometer?
By a magnetic field
Until when are the ions sped up in a mass spectrometer?
Until they’re all travelling at the same speed into a finely focused beam
Draw and label the mass spectrometer
(Check notes)
What’s the purpose of the vacuum pump on the mass spectrometer?
To prevent the ions colliding with air molecules
What are ions deflected by in the mass spectrometer?
A magnetic field (an electromagnet)
What is at the detection stage of the mass spectrometer?
-Amplifier
-Chart recorder
Why is it the MASS that impacts how much the ions are deflected by the electric field of the electromagnet in a mass spectrometer?
As the ions are all equal charge so this doesn’t effect it
What are ions deflected according to in a mass spectrometer?
Their mass/charge ratio
If an ion is lighter, how does this effect how it’s deflected?
Deflected more
What type of ions reach the detector first in a mass spectrometer?
The lighter ones
Which ions have the lowest m/z value in a mass spectrometer?
The lightest ones
What happens to ions with different mass to charge ratios in the mass spectrometer?
They’re deflected and measured separately
What do we look at for an ions m/z number?
Its mass number
Mass to charge ratio symbol
m/z or m/e
List what happens at the detection stage on the mass spectrometer
-Beam of ions detected electrically
-Electric current = amplified + recorded
-More ions = more current
-Results analysed by a computer and displayed on the visual display unit of the computer
How does the amount of ions effect the current in a mass spectrometer?
More ions = higher current
How are the results from a mass spectrometer analysed on a computer?
Displayed on the visual display unit of the computer
What two things do we need to know in order to calculate the relative atomic masses of elements?
- The relative isotopic mass (top number)
-The relative abundance of the isotopes
Relative abundance
The fraction of that isotope found in the natural nuclidic composition of the element
What’s the fraction of an isotope found in the natural nuclidic composition of an element?
Its relative abundance
What’s the formula for calculating the relative atomic mass of an element?
(%abundance X isotopic mass of element - top number) + (next one) + (next one) …
———————————————————————————————————————
100
How can we confirm if the relative atomic mass that we’ve calculated is correct?
Is says it on the periodic table (the top number)
What do we need to do if the abundance given to us for a relative atomic mass formula is in decimals?
We do NOT have to divide it by 100
What do we do if relative abundance isn’t given in decimals or percentages and simply as a number?
Add them together and divide by this total
What’s the highest possible relative abundance?
100%
What’s relative abundance (simply)?
How much of that isotope is in that element
What’s goes along the x and y axis on a graph for calculating relative atomic mass?
X - mass/charge (m/z)
Y - relative abundance
What’s really important to show on the isotopes we’re using for relative atomic mass calculations?
Their charges
What do we do if peak height is given instead of relative abundance to calculate the relative atomic mass?
Relative abundance = peak height
——————
Total height
Equation for the ionisation of Cl-35 in the mass spectrometer
Cl2 (g) + e- ——> Cl2+ (g) +2e-
Equation for the ionisation of Chlorine
Cl2 (g) + e- ——> Cl2+ (g) + 2e-
What can molecular ions do in the mass spectrometer?
Undergo fragmentation to give us monatomic chlorine ions
What does the fragmentation of chlorine molecular ions give us?
Monatomic chlorine ions
Why does fragmentation happen to molecular chlorine ions in the mass spectrometer?
Due to the instability of Cl2+ ions
What ions does Chlorine come out as out of the ionisation chamber and what’s wrong with this?
Cl2+ are unstable = undergo fragmentation
Fragmentation
the dissociation of energetically unstable molecular ions formed from passing the molecules in the ionization chamber of a mass spectrometer
Chlorine Cl2+ ions fragmentation equation
Cl2+ (g) ——> Cl+ (g) + Cl (g)
How many isotopes does chlorine have and what are they?
Two
35Cl
37Cl
What is the abundance of the Cl35 Chlorine isotope in its natural nuclidic composition?
75%
What is the abundance of the Cl37 Chlorine isotope in its natural nuclidic composition?
25%
What is the ratio in the atomic ion region of chlorine?
3:1
What gives us the molecular ion region on chlorines graph?
The fact that chlorine exists as a diatomic molecule - it consists of molecules, not individual atoms (think of the possible combinations of Cl35 and Cl37)
What type of molecule does chlorine exist as and what does this give us?
Diatomic, giving us the molecular ion region on the graph
What are the two ion regions we have o chlorine’s mass spectrum?
-atomic ion region
-molecular ion region
What do we call the graph with relative abundance and m/z?
The mass spectrum
What does chlorine’s atomic ion region peak in?
3:1 ratio
What does chlorine’s molecular ion region peak in?
9:6:1 ratio
Which molecular ions do we have for chlorine?
M/z = m70, m72 and m74
What’s the possibility of an atom being 35Cl?
3/4
What’s the possibility of an atom being 37Cl?
1/4
How do we get the fractions for figuring out the ratio of the molecular ion region on chlorine’s mass spectrum?
Multiply the possibility of getting each isomer
E.g - 35Cl-35Cl
3/4 x 3/4
= 9/16
(The 9 in the ratio)
What’s it important to do with all of the fractions when working out the ratio of a molecular ion region?
Keep them relative (same bottom number) so as to get the correct ratio - the calculator might simplify!
What do we do if we’re asked to work out the percentage of an isotope in a molecule, or the mass number?
Use algebra - the same method as before with the relative atomic mass but with an ‘x’ where relevant - remember you can find the relative atomic mass for the start of the equation on the periodic table
How do you work out the ratio of the molecular ion region of an element?
Multiply the possibilities of getting each isotope (abundance) with it’s possible pair - make sure all fractions have the same bottom number
(Check notes for chlorine example, it’ll look confusing here)
What isotopes does Bromine have?
79Br and 81Br
What is the ratio of 79Br and 81Br isotopes in a Bromine molecule?
50:50
How many peaks does a diatomic molecule have on its mass spectrum? How do we know this?
5
Think - we have 2 isotopes, which is 2 peaks in the atomic ion region
Then, we have 3 different possibilities of combinations of these isotopes for the molecular ion region = 3 more peaks
How many peaks does Bromine’s mass spectrum have?
5
Which diatomic molecules do we need to remember their mass spectrums and why they look like this (know the ratios, abundances, isotopes e.t.c.)?
Mostly Chlorine, an idea of Bromine too
Empirical formula
The simplest ratio of atoms in the molecule
Molecular formula
The actual number of each atom present in the molecule
How do we calculate the relative molecular mass?
Sum of Ar’s in the molecule (multiply only by the little numbers, ignoring the big ones)
Relative molecular mass symbol
Mr
Molecular formula of glucose molecules
C6H1206
Molar mass unit
gmol-1
Molar mass of glucose molecules
180gmol-1
Empirical formula of glucose molecules (how is this worked out?)
CH20
(Molecular formula divided by 6)
What do we do if working out the empirical formula from a diagram?
Ignore ions
Are ions part of empirical formulas?
No
What do we have to know in order to calculate empirical formulas?
The % composition by mass of each element in the molecule in order to divide it by their relative atomic masses
Steps in working out Empirical formulas
- Write symbols of elements
- Write masses/percentages from the question
- Divide each mass/percentage by the mass number of that element (Ar)
- Divide each answer with the smallest answer to find the ratio
Do we ever round up or down when working out empirical formulas?
No, instead we multiply them up if the ratios are in decimals (individual elements)
What would you multiply a 0.2 decimal in a ratio for an empirical formula by?
5
What would you multiply a 0.3 decimal in a ratio for an empirical formula by?
3
What would you multiply a 0.5 decimal in a ratio for an empirical formula by?
2
What do we have to know in order to work out the molecular formula of a molecule?
The relative molecular mass
How do we calculate the molecular formula of a molecule?
- Determine the relative mass of empirical formula
(Add up the Ar numbers, multiplying only by the small numbers and ignoring the big ones) - Divide the Mr (given in question) by mass of empirical formula (our last answer) to get a multiple
- Multiply empirical formula by the multiple
How do we determine the relative mass of an empirical formula?
Add up all of the Ar numbers (relative atomic masses of the atoms), multiplying only by the small numbers and ignoring the big ones
What’s the most likely mass of a chlorine molecule?
70
Define the mole
The standard unit (an SI unit) for the amount of a substance, which is Avogadro’s constant (NA)
Avogadro’s constant symbol
NA
Simple way of defining the mole in terms of particles
One mole has (Avogadro constant) amount of atoms
What type of quantity is molar mass and what does this mean for it?
A physical quantity, therefore it has units
Molar mass units (Mr)
gmol-1
Define the molar mass of an element
The mass of one mole of the element in grams
What is molar mass equal to?
Mr
Triangle showing the relationship between molar mass, mass and amount of moles
m
—
n I M
What does M stand for?
Molar mass
What does m stand for?
Mass
What does n stand for?
Amount in moles
Amount in moles unit
Mol
What do we use as our molar mass in equations and when?
If we get no information on the moles or mass, make the molar mass equal to the Mr
Number of particles/atoms formula
Number of moles x NA
(Remember - this can be rearranged!)
Number of particles unit
It doesn’t have one
What is necessary in calculations such as ones discovering the number of particles?
Combining both the molar mass, mass, moles triangle equation and the number of particles, moles and NA one
What do the same conditions of temperature and pressure cause any gas to do?
Occupy the same volume
What conditions are require to be kept the same for one mole of any gas to occupy the same volume?
Temperature
Pressure
When does one mole of any gas occupy the same volume?
Under the same conditions of temperature and pressure
How much of any gas will occupy the same volume under the same conditions of temperature and pressure?
1 mole
What is the molar volume of a gas?
Under the same conditions of temperature and pressure, one mole of any gas will occupy the same volume
What’s the name for the fact that under the same conditions of temperature and pressure, one mole of any gas will occupy the same volume?
Molar volume
Stp
Standard temperature and pressure
What is the standard temperature and pressure?
273K
1 atm (1.01x10^5 Pa)
What is 1 atm?
1.01 x10^5 Pa
22.4dm^3 in litres
22.4 litres (the same)
What’s the difference between the two molar volumes given in the data sheet?
Different temperatures
What happens to a gas with increased temperature, providing that the pressure remains constant?
Gas occupies a bigger volume
When does a gas occupy a bigger volume?
With increased temperature, providing that the pressure remains constant
What do we need to check before answering any of the questions surrounding molar volume?
The temperature, to get our molar volume based off of information on the data sheet
Volume unit
dm^3
Moles unit
Mol
Triangle for the equations on molar volume
V
—
n I Vm
Amount in moles symbol
n
Volume symbol
V