Concept of relative atomic masses, molecular masses, and molecular formulae.
Calculation of relative atomic masses, relative molecular masses considering existence of isotopes, understanding empirical formula, molecular formula, mass and formula mass of different compounds.
Validation of law of stoichiometric proportions to introduce concept of moles. Includes mole-mole, mole-mass, mass-mass, mass-volume conversions.
Application of concept of moles to work out various stoichiometric proportions like % yield, % purity, reacting masses of reactants and products, limiting reagents, atom economy.
Extending the concept of mole to understand gaseous reactions and calculation of concentration of solutions through measuring volumes of solutions required by titration method, concentration numericals.
Stoichiometry bridges the gap between macro quantities like mass and micro quantities like atoms and molecules.
A mole is a fixed constant in chemistry. Similar to how one dozen equals twelve objects, one mole equals 6.02 × 1023 atoms of an element or compound.
The atomic weight/relative atomic mass of an element is equal to its molar mass in grams. The molar mass of an element is the mass of 1 mole of it (6.02 × 1023 atoms).
Example: The atomic weight/relative atomic mass, and thus molar mass in grams, of 1 mole of oxygen is 15.999 g/mol (~16.0 g/mol).
Two moles of oxygen = 16 × 2 = 32 g/mol.
In a balanced equation, the number of moles of a compound is given by the coefficient in front of it. By finding the ratio of the number of moles of reactants to products, it is possible to find the mass of products formed for a given mass of reactants.
1 mole of any gas at RTP (Room Temperature and Pressure)/SATP (Standard Ambient Temperature and Pressure) [298 K, 105 pascals] will occupy 24 dm3 of volume.
1 mole of any gas at STP (Standard Temperature and Pressure) [273 K, 105 pascals] occupies a volume of 22.7 dm3.
Also, if all the reactants are gases, then you can take the mole ratios as the volume ratios! Essentially, you don’t need to find the number of moles or the molar mass or anything like that, you can just directly take the coefficient as the volume of the gas in dm^3.
The molecular formula is the normal formula of a compound.
For example, glucose’s molecular formula is C6H12O6.
The empirical formula is the simplest formula of a compound down to the simplest ratio.
Going back to glucose, its empirical formula is CH2O, simplifying the ratio of 6:12:6 to 1:2:1.
The empirical formula is a step in finding the molecular formula of a compound. First, the percentage composition of a compound is found, meaning what elements it is made of and how much of a percentage each element makes up. From there, we derive the empirical formula, where the ratio is then multiplied to find the molecular formula.
The steps to find the empirical formula are as follows:
When the percentage composition of an element is given, !!assume that if an element was 100% present, its given mass would equal 100g. So if a compound is 60% carbon, there is 60g of carbon in there.
If reagents aren’t added in appropriate ratios, and there isn’t enough of one reactant, it limits the product yield. The amount of product formed always depends on the limiting reagent.
First, find the ratio between the moles of the reactants. Then, based on the number of moles of the limiting factor, find the number of moles of the other reagent that can react with it, and then the ratio of the product moles to the limiting reagent moles. From there, find the mass of the product formed.
The reactant in short supply is limited.
The reactant that is not in short supply or more than required is excess.
Divide the molar mass of the element in the compound by the total molar mass of the compound and multiply it by a hundred to get the % composition, or how much of the compound is made of that element.
This refers to how much of the calculated mass was actually obtained, and is given by the formula of actual mass obtained/calculated mass to be obtained * 100/1.
Dividing the molar mass of the pure sample extracted from the total molar mass of the impure sample provides us the % purity of the compound, showing how much of it was made of the pure specified chemical substance.
The concentration of a solution is equal to the number of moles of the solute divided by the volume of the solvent, and is given by the formula:
Where:
Remember that 1 dm³ = 1000 cm³.
Any salt contains a metal cation and a nonmetal anion. NaCl (Sodium chloride) has sodium (Na) and chlorine (Cl).
In the formation of a salt, the metal cation always comes from a base, whereas the nonmetal anion comes from an acid.
Bases consist of metals and their various compounds, namely metal oxides, metal hydroxides, metal carbonates, and metal hydrogen carbonates.
There are three main acids to consider as of now: H2SO4 (sulfuric acid), HNO3 (Nitric acid), and HCl (hydrochloric acid).
When an acid and base of the right pH and in the right concentration react, they neutralize each other or essentially “cancel” each other out, almost always forming water and a metal salt along with releasing a gas of some sort.
When an acid and base react and don’t form water, then no neutralization has taken place, and only a redox reaction has occurred.
| Acid | Base | Product |
|---|---|---|
| HCl | Na | NaCl + H2 (No water, so redox, not neutralization!) |
| HCl | Na2O | NaCl + H2O |
| HCl | NaOH | NaCl + H2O |
| HCl | Na2CO3 | NaCl + CO2 + H2O |
| HCl | NaHCO3 | NaCl + CO2 + H2O |
Acids and bases must be of the right concentration and volume to neutralize each other.
Multiply the number of moles of the compound (the coefficient) with Avogadro’s constant (6.02 x 10^23) to get the number of molecules of that compound.
Because 1 mole of that compound will have 6.02 x 10^23 molecules of it. Hence, considering cross multiplication, another number of moles will have that number of moles times 6.02 x 10^23.
For the number of atoms of a certain element, multiply the number of atoms of that element in one molecule of the compound with the coefficient with Avogadro’s constant.
For the total number of atoms, do the same as above. Multiply the total number of atoms in 1 molecule of the compound with the coefficient with Avogadro’s constant.
For ionic compounds, just write formula units because ionic compounds can’t be split into atoms!
The % atom economy is a measure of the ratio of the masses of useful products from the chemical reaction to the total masses of products from the reaction. If there is only a single product produced in a reaction, then 100% atom economy is reached!
This is a branch of science that focuses on reducing both the usage and production of hazardous and harmful substances in chemistry. This could be by swapping out a harmful chemical for a non-harmful one that does the same job.
They also aim to do this by reducing any harmful waste produced through a reaction, such as through boosting the % atom economy – the greater the mass of the useful product formed, the less the mass of the waste produced.
It also aims to reduce the amount of nonrenewable resources used within chemical reactions (like fossil fuels) by making reactions more efficient and thus not needing to be repeated, by once again increasing the % atom economy.
The mass of a single atom of lithium in amu is equal to the mass of 1 mole of lithium in grams; because Avogadro's constant (which is 6.02 × 10^23).
Reasoning behind Relative Atomic Mass: Dalton said fuck no ain’t no way we’re ever finding how heavy a single teeny tiny atom is.
Instead he found that the mass ratios of hydrogen and oxygen when reacting in big, measurable quantities of grams in the lab, was equal to 1:16. And he found that for whatever mass of hydrogen and oxygen he took, the mass ratios would be the same.
And since according to Avogadro’s law all gases at RTP have same number of molecules and same volume, it meant that the mass ratio of even 1 atom of hydrogen and 1 atom of oxygen was still 1:16.
“Equivalent numbers of atoms”
https://youtu.be/TSQlM72_MiU?si=AWW6WFS98U0GiknN
Because the mass ratios are the same across all sizes, 1 atom of oxygen has a relative atomic mass of 16 a.m.u. and 1 mole of oxygen has a molar mass of 16 g/mol.
It’s like g/ml and kg/L. The mass ratio is the same because both units are being increased by the same factor of x 1000.
But for chemistry, that factor is 6.02 × 10^23 (Avogadro’s constant).
This is the process of neutralizing an acid with an appropriate base to form salt and water, which is an aqueous solution. For example:
The acid in this case is considered to be neutralized when the phenolphthalein added to the base using a pipette turns from pink to colourless.
Titration can be used to calculate the concentration of an unknown solution based on how much base or acid is used to neutralize it.
Theories of Acids and Bases - Bronsted-Lowry, Arrhenius theory, autoionisation of water, ionic product of water, understanding of development of pH scale based on Hydrogen and hydroxide ion concentration.
Physical properties of acids and bases.
Strength of acids & bases - understanding weak and strong acids on basis of dissociation.
pH scale and numericals.
Preparation of salts – method of preparation of soluble salts and insoluble salts including acid-base titrations.
Real life applications of acids and bases.
Chemical properties of acids - reaction with bases, metals, metal carbonates, metal oxides.
Chemical properties of bases – reaction with acids and ammonium salts.
Salt Analysis: Solubility of salts, Test for anions [Carbonate, nitrate, chloride, bromide, iodide, sulphate, sulphite], cations [Ammonium, aluminium, iron (II), Iron (III), Copper (II), Chromium, zinc, calcium] and gases [oxygen, ammonia, chlorine, hydrogen, carbon dioxide].
Hardness of water and its effects.
In terms of physical properties…
Acids are sour to taste (citric acid), corrosive (hydrochloric acid) and show low pH values (2,3,4, etc.)
Bases are bitter (don’t try this at home, kids!), soapy to the touch (NaOH), slightly corrosive, and have high pH values (12,13,14, etc.) They do not react with metals because metals tend to be slightly basic themselves, unless they are amphoteric (contain both acidic and basic properties) and conduct electricity.
But these are not that accurate, because just because something tastes a certain way doesn’t mean it's acidic or basic.
Meanwhile, on the chemical side…
Arrhenius, the founder of physical chemistry, proposed a theory to help differentiate the two.
Acids release H+ ions in their aqueous state, while bases release OH- ions in their aqueous state.
However, certain substances will show acidic or basic properties regardless of being in an aqueous state or not, hence, his theory isn’t applicable anywhere. For example, CO2 is still acidic despite being a gas. So we now turn to…
Here, acids are “proton donors”, meaning they give out H+ ions, which are basically just protons. A hydrogen atom has one proton and one electron with zero neutrons. Strip away the electron to get an H+ ion, and Bob’s your uncle, you have a proton.
Acids have an excess of H+ ions.
Meanwhile, bases are “proton receivers”, meaning they can accept H+ ions, OR they have an excess of OH- ions. Bases that are soluble in water are called alkali. Remember that not all bases are alkalis (that is to say, not all bases are soluble in water, but all alkalis are bases!)
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Conjugate acid-base pairs are pairs with a single proton difference, or the difference of an H+ ion. Not two, not three, just one.
HF (hydrogen fluoride) is the acid here, because it is a proton donor and gives up a proton, causing it to become negatively charged fluorine (because bye bye hydrogen!). This makes the F- a conjugate base. F- now can accept a proton.
Meanwhile, H2O is the base here because it accepts the proton, causing it to become positively charged H3O (because hello hydrogen), making H3O a conjugate acid. H3O can now give up a proton.
The charges of the ions change because atoms can have their charges changed in two ways: either by an increase or decrease in electrons, or an increase or decrease in the number of protons. Here, it’s with protons!
Note that some chemical compounds can be both conjugate acids and bases in different conditions, like NH3
This is a chemical that contains a mixture of multiple indicators which gives a range of colour when added to different acids and bases. It gives a rough idea of how strong an acid or base is. The pH scale colour will shift from red (acidic) to purple (basic), depending on the nature of the substance.
Acids can be weak or strong.
Dissociate completely, more acidic, lower pH, think HCl, H2SO4.
Dissociate partially, less acidic, higher pH, think acetic acid.
“Dissociation” refers to them breaking down into ions. Weak acids will mostly stay as molecules and not break down into ions. To figure out whether an acid is weak or strong, we can use several distinguishing tests, such as:
These are super important, so try to memorize them to save time in the exam.
Note: Water is only produced if there is a hydroxide ion, oxide, carbonate, or hydrogen carbonate present.
Break down the reactants into their constituent ions:
React the first cation with the second anion and the first anion with the second cation:
Write down the products and adjust coefficients as necessary:
To test for CO2, you can do the flame test (place a candle in gas; if it goes out, it’s CO2) or the limewater test (CO2 + Ca(OH)2 → CaCO3, turning the limewater milky).
pH stands for “Power of Hydrogen” or “Potential of Hydrogen”. It measures the hydrogen ion concentration per liter of solution:
For bases, pOH is the “Power of the Hydroxide Ion”:
The more diluted an acid, the higher the pH value. The more diluted a base, the lower the pOH value. Remember:
If pH increases by 1 unit, H+ concentration decreases by 10 units and vice-versa. The same applies for OH-.
Used to neutralize excessive stomach acid and treat acid indigestion. Examples include:
There are 4 main types:
The strength of an acid or base depends on how much it dissociates in water according to both the Arrhenius theory and the Bronsted-Lowry theory. Strong acids like HCl will completely dissolve in water to form H+ and Cl- ions, while weak acids like CH3COOH will only partially dissociate into CH3COO- ions and H+ ions.
Always add acid to water in small volumes with continuous stirring so that water can gradually absorb the heat from the acid. The stirring evenly distributes the energy from the water molecules reacting with the acid. If you add acid all at once then the water will immediately turn into steam, damaging the beaker.
NEVER add water to acid because the reaction produces steam immediately, which can damage the beaker or cause injury. Adding acid to water is safer because the water can absorb more heat.
Dilution is calculated using the formula:
To calculate the volume of water to add, subtract V1 from V2.
Metal oxide bases are soluble in water (e.g., KOH). Transition metal oxide bases are insoluble in water (e.g., CuO).
Salts are ionic compounds made of positive and negative ions. They are formed when H+ from an acid is replaced by a metal ion from a base or metal. Salts can be soluble (aq) or insoluble (s).
Applications include fertilizers, batteries, fungicides, and health products:
React metal with acid to produce salt and hydrogen gas:
React insoluble base with acid to produce salt and water. Example with copper oxide:
React alkali with acid using titration to produce salt and water. Example:
Salts can be soluble or insoluble depending on composition.
| Soluble | Insoluble |
|---|---|
| All sodium (NaCl), potassium (KOH), ammonium (NH4NO3) salts | All nitrates (NaNO3) |
| Chlorides (KCl)… | …except AgCl, PbCl2 |
| Sulphates (Cu2SO4)… | …except CaSO4, BaSO4, PbSO4 |
| Sodium (Na2CO3), potassium (K2CO3), ammonium ((NH4)2CO3) carbonates | …otherwise, all carbonates are insoluble |
Example: Zinc with HCl, H2SO4, CH3COOH (undiluted)
The experiment can be repeated with copper and dilute acids to compare reactions.
How does the type of catalyst added to identical volumes of H2O2 affect the rate of decomposition as measured by the volume of foam formed over time?
If the type of catalyst used is changed, then the rate of decomposition of H2O2 as measured by the volume of foam produced will change, because the oxidation state of the metal in the catalyst differs.
Acid Rain: Oxides of sulfur and nitrogen dissolve in rainwater:
Sources: burning fossil fuels containing sulfur, e.g., at power stations.
Effects: damages crops, makes soil acidic, corrodes buildings (e.g., limestone).
Neutralize acidic soil using CaCO3 (limestone), CaO (quicklime), Ca(OH)2 (slaked lime/limewater). CaCO3 is preferred as it is insoluble and remains in soil to neutralize acid.
Sink cleaning: Ammonia is used as a drain cleaner.
Acid can be added to a round-bottom flask using:
>A thistle funnel versus a dropping funnel setup.
To remove gas produced in a reaction, an exhaust pipe can be inserted into the stopper. There are 4 main methods:
Used to detect cations (+ve ions) or anions (-ve ions) in unknown salts through gas or precipitate formation.
| Cation | Test | Observation/Signs | Equation |
|---|---|---|---|
| Ammonium (NH4+) | Dilute NaOH + heat | Ammonia gas released, red litmus → blue | NH4+ + OH- → NH3 + H2O |
| Copper (II) (Cu2+) | Dilute NaOH or NH3 | Pale blue ppt; dissolves with excess NH3 → dark blue solution | Cu2+ + 2OH- → Cu(OH)2 [Cu(NH3)4]2+ with excess NH3 |
| Iron (II) (Fe2+) | Dilute NaOH or NH3 | Pale green ppt | Fe2+ + 2OH- → Fe(OH)2 |
| Iron (III) (Fe3+) | Dilute NaOH or NH3 | Red-brown ppt | Fe3+ + 3OH- → Fe(OH)3 |
| Aluminum (Al3+) | Dilute NaOH or NH3 | White ppt; dissolves in excess NaOH → colorless | Al3+ + 3OH- → Al(OH)3 Al(OH)3 + OH- → [Al(OH)4]- |
| Zinc (Zn2+) | Dilute NaOH or NH3 | White ppt; dissolves in excess → colorless | Zn2+ + 2OH- → Zn(OH)2 Excess → [Zn(OH)4]2- or [Zn(NH3)4]2+ |
| Calcium (Ca2+) | Dilute NaOH or NH3 | White ppt with NaOH; little/no ppt with NH3 | Ca2+ + 2OH- → Ca(OH)2 |
Water hardness measures dissolved minerals, mainly calcium and magnesium ions, in mg/L or ppm.
Why water becomes hard: Flowing through chalk or lime deposits, water picks up calcium ions.
Topics include:
Carbon is in group 4 of the periodic table and forms up to 4 bonds. Other groups:
Each line represents a shared pair of electrons. Every element wants 8 electrons in its outer shell (except H: 2 electrons).
Example: Fluoromethane (CH3F). Carbon forms 4 bonds, each hydrogen 1, fluorine 1. Lone pairs shown on fluorine only.
| No. of Carbons | Prefix |
|---|---|
| 1 | Meth- |
| 2 | Eth- |
| 3 | Prop- |
| 4 | But- |
| 5 | Pent- |
| 6 | Hex- |
| 7 | Hept- |
| 8 | Oct- |
| 9 | Non- |
| 10 | Dec- |
Saturated hydrocarbons (only single bonds). Formula: CnH2n+2. Example: 4 carbons → C4H10 = butane.
Physical properties:
Chemical properties:
Unsaturated hydrocarbons with double/triple bonds. Alkenes formula: CnH2n. Example: 4 carbons → C4H8 = butene.
The formula only works if the alkene has a single double bond.
General formula: CnH2n-2. Example: 4 carbons → C4H6 = butyne.
Rules apply only if there is exactly 1 triple bond. More triple bonds require different naming rules.
Video reference: Click here
Step 1: Find the longest continuous carbon chain.
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Option #1: 3 carbons long |
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Option #2: 4 carbons long |
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Option #3: Also 4 carbons long |
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Cat: 3 carbons long |
The two longest chains are both 4 carbons → name = butane (single bonds).
Step 2: Number the chain forwards and backwards. Pick the least-numbered chain. CH3 is attached to the 2nd carbon → methyl group.
Compound name: 2-methyl butane
Follow same rules: find the longest chain, number forwards/backwards, pick least numbers. Example with two CH3 groups:
Final name: 2,3-dimethyl butane
Example compound:
Instead of alkyl groups, halogens like chlorine can be attached. Use prefixes:
Steps to name:
Example with one chlorine: 2-chloro butane
Example with multiple halogens: alphabetical order → 1-bromo 2,3-dichloro butane
Locate double bond, number to give lowest position. Example: double bond between carbons 2 and 3 → but-2-ene or 2-butene
Locate triple bonds, number for lowest position. Two triple bonds → suffix –diyne. Example: triple bonds at carbons 1 and 3 → pent-1,3-diyne
Alkyls are groups with one less hydrogen than alkanes. Suffix: –yl
| Alkane | Formula | Alkyl |
|---|---|---|
| Methane | CH4 | CH3 (methyl) |
| Ethane | C2H6 | C2H5 (ethyl) |
| Propane | C3H8 | C3H7 (propyl) |
Members share the same functional group and differ by CH2 units.
| Alkane | Alkene | Alkyne |
|---|---|---|
| CH4 (methane) | CH2 (methylene) | C2H2 (ethyne) |
| C2H6 (ethane) | C2H4 (ethylene) | C3H4 (propyne) |
| Difference: CH2 | Difference: CH2 | Difference: CH2 |
Video reference: Click here
Crude oil is unprocessed oil, a mixture of hydrocarbons with varying chain lengths. Long-chain hydrocarbons have stronger London Dispersion forces and higher boiling points, making them harder to separate. Short-chain hydrocarbons have lower boiling points and are more valuable as fuels.
Crude oil is heated into vapor and pumped into a fractionating column with a heat gradient (hot bottom, cooler top). Long-chain hydrocarbons condense lower in the column, while short-chain hydrocarbons condense higher. Bubble caps prevent mixing and encourage condensation. Each tray contains fractions with similar boiling points, used for different purposes like fuels or bitumen for roads.
Long-chain hydrocarbons can be broken into smaller alkanes and alkenes. No fixed formula exists, but the number of atoms in the products equals the reactant.
Functional groups define chemical properties of hydrocarbons:
Carbon fibres: Lightweight, strong material; used in sports equipment, bicycles, golf clubs, tennis rackets, gym equipment.