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Chemistry tables

All 118 elements, ions, compounds, mole calculations, bonding, equilibrium and organic functional groups.

Common ions

IonFormulaCharge
SodiumNa⁺+1
CalciumCa²⁺+2
AmmoniumNH₄⁺+1
ChlorideCl⁻−1
HydroxideOH⁻−1
NitrateNO₃⁻−1
SulfateSO₄²⁻−2
CarbonateCO₃²⁻−2

A positive ion has lost electrons and a negative ion has gained electrons. Combine ions in ratios that balance total charge.

Worked example

One Ca²⁺ and two Cl⁻ form CaCl₂. Two Na⁺ and one SO₄²⁻ form Na₂SO₄.

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Amount of substance

n = mass / molar mass. Use grams and g/mol to obtain moles.

Molar mass is the mass per mole. It differs from atomic number and needs to be calculated for the full chemical formula.

Worked example

With NaCl molar mass approximated as 58.44 g/mol, 5.844 g contains 0.1000 mol.

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Concentration

Molar concentration = moles of solute / litres of solution.

Use the final solution volume in litres, not the initial volume of solvent alone. Molarity is measured in mol/L.

Worked example

Dissolving 0.2 mol to make 0.5 L of solution gives 0.4 mol/L.

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Balancing equations

Change coefficients, never chemical subscripts. Example: 2H₂ + O₂ → 2H₂O.

Count atoms of each element on both sides. Use whole-number coefficients in the smallest suitable ratio.

Worked example

2H₂ + O₂ → 2H₂O has four hydrogen atoms and two oxygen atoms on each side.

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pH

At school-level dilute-solution approximation, pH = −log₁₀[H⁺]. Neutral water is approximately pH 7 at 25 °C.

The concentration formula is an introductory approximation; the thermodynamic definition uses hydrogen ion activity. Temperature affects neutral pH.

Worked example

For an ideal dilute solution with [H⁺]=10⁻³ mol/L, pH≈3. A one-unit pH change corresponds to a tenfold activity ratio.

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Common laboratory relationships

RelationshipMeaning and conditionsExample
c₁V₁=c₂V₂Dilution with the same solute and conserved amount; use matching volume units.100 mL of 1 M stock diluted to 500 mL gives 0.2 M.
PV=nRTIdeal gas approximation. Use absolute temperature in kelvin and a consistent gas constant.For 1 mol at 300 K and 100,000 Pa with R≈8.314, V≈0.02494 m³.
N=nNₐParticle count equals moles times Avogadro’s constant, 6.02214076×10²³ mol⁻¹.0.5 mol contains 3.01107038×10²³ specified particles.
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Atomic structure and isotopes

Atomic number Z is proton count. Mass number A is protons plus neutrons in one isotope. A neutral atom has Z electrons; cations have fewer and anions more. Isotopes share Z but differ in neutron count. Average atomic mass reflects isotope abundances.

Sodium-23 has 11 protons and 12 neutrons. Neutral sodium has 11 electrons; Na⁺ has 10. Orbital subshell capacities are s:2, p:6, d:10 and f:14. Each orbital holds at most two opposite-spin electrons.

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All 118 elements: atomic number, symbol and name

Atomic numbers below count protons, not atomic mass. Chemical symbols are case-sensitive: Co is cobalt, while CO is carbon monoxide. Use the search box to locate an element.

Atomic numberSymbolElement
1HHydrogen
2HeHelium
3LiLithium
4BeBeryllium
5BBoron
6CCarbon
7NNitrogen
8OOxygen
9FFluorine
10NeNeon
11NaSodium
12MgMagnesium
13AlAluminium
14SiSilicon
15PPhosphorus
16SSulfur
17ClChlorine
18ArArgon
19KPotassium
20CaCalcium
21ScScandium
22TiTitanium
23VVanadium
24CrChromium
25MnManganese
26FeIron
27CoCobalt
28NiNickel
29CuCopper
30ZnZinc
31GaGallium
32GeGermanium
33AsArsenic
34SeSelenium
35BrBromine
36KrKrypton
37RbRubidium
38SrStrontium
39YYttrium
40ZrZirconium
41NbNiobium
42MoMolybdenum
43TcTechnetium
44RuRuthenium
45RhRhodium
46PdPalladium
47AgSilver
48CdCadmium
49InIndium
50SnTin
51SbAntimony
52TeTellurium
53IIodine
54XeXenon
55CsCaesium
56BaBarium
57LaLanthanum
58CeCerium
59PrPraseodymium
60NdNeodymium
61PmPromethium
62SmSamarium
63EuEuropium
64GdGadolinium
65TbTerbium
66DyDysprosium
67HoHolmium
68ErErbium
69TmThulium
70YbYtterbium
71LuLutetium
72HfHafnium
73TaTantalum
74WTungsten
75ReRhenium
76OsOsmium
77IrIridium
78PtPlatinum
79AuGold
80HgMercury
81TlThallium
82PbLead
83BiBismuth
84PoPolonium
85AtAstatine
86RnRadon
87FrFrancium
88RaRadium
89AcActinium
90ThThorium
91PaProtactinium
92UUranium
93NpNeptunium
94PuPlutonium
95AmAmericium
96CmCurium
97BkBerkelium
98CfCalifornium
99EsEinsteinium
100FmFermium
101MdMendelevium
102NoNobelium
103LrLawrencium
104RfRutherfordium
105DbDubnium
106SgSeaborgium
107BhBohrium
108HsHassium
109MtMeitnerium
110DsDarmstadtium
111RgRoentgenium
112CnCopernicium
113NhNihonium
114FlFlerovium
115McMoscovium
116LvLivermorium
117TsTennessine
118OgOganesson
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Periodic trends and common valencies

Across a period atomic radius generally decreases while ionisation energy and electronegativity generally rise, with exceptions. Down a group radius generally increases. Group 1 metals commonly form +1 ions; group 2 form +2; aluminium commonly +3; halides commonly −1. Transition elements often have multiple oxidation states.

SpeciesCharge or common oxidation stateExample
Magnesium+2MgCl₂
Aluminium+3Al₂O₃
Iron+2 or +3FeCl₂ or FeCl₃
Copper+1 or +2Cu₂O or CuO
Zinc+2ZnSO₄
Phosphate−3PO₄³⁻
Hydrogen carbonate−1HCO₃⁻
Permanganate−1MnO₄⁻
Dichromate−2Cr₂O₇²⁻

Combine ions to make overall charge zero: Al³⁺ and SO₄²⁻ form Al₂(SO₄)₃. Parentheses preserve the polyatomic ion. Oxidation state is formal electron bookkeeping and need not be an actual ionic charge.

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Common compounds and school molar masses

CompoundFormulaApproximate molar mass (g/mol)
WaterH₂O18.02
Carbon dioxideCO₂44.01
Sodium chlorideNaCl58.44
Calcium carbonateCaCO₃100.09
Sulfuric acidH₂SO₄98.08
Hydrochloric acid soluteHCl36.46
Sodium hydroxideNaOH40.00
AmmoniaNH₃17.03
GlucoseC₆H₁₂O₆180.16
Baking sodaNaHCO₃84.01
Washing sodaNa₂CO₃·10H₂O286.14
GypsumCaSO₄·2H₂O172.17
Plaster of ParisCaSO₄·½H₂O145.15

Use atomic weights supplied in your question when they differ slightly. Hydrated salts include water in the formula mass. 9.01 g water is approximately 0.500 mol. A solution does not have one fixed molar mass like a pure compound.

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Stoichiometry and limiting reagent

moles = mass / molar mass; mole ratios come from balanced coefficients

Balance the equation, convert reactant amounts to moles, divide each amount by its coefficient and identify the smallest ratio. This reactant limits the theoretical product. Percentage yield=100×actual/theoretical yield on the same basis.

Worked example

For 2H₂+O₂→2H₂O, 3 mol H₂ and 2 mol O₂ give ratios 1.5 and 2. H₂ limits; 3 mol water can form and 0.5 mol O₂ remains.

Common mistake: Comparing masses directly instead of coefficient-adjusted mole amounts.

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Concentration units and dilution

M=nsolute/Vsolution(L); molality=nsolute/msolvent(kg)

Mass%=100×solute mass/solution mass. Mole fraction xᵢ=nᵢ/Σn. Mass-based ppm=10⁶×mass fraction; in very dilute aqueous solutions of density near 1 kg/L, mg/L is approximately ppm. Dilution conserves solute amount: M₁V₁=M₂V₂.

Worked example

5.844 g NaCl is 0.1 mol; make up to 0.5 L solution for 0.2 M. Diluting 50 mL of 2 M solution to 250 mL gives 0.4 M.

Common mistake: Using solvent volume instead of final solution volume for molarity.

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Acids, bases, indicators and salts

A Brønsted acid donates a proton and a base accepts one. Strong versus weak describes extent of ionisation; concentrated versus dilute describes amount per volume. For dilute ideal aqueous solutions at 25°C, pH+pOH≈14. Neutral pH changes with temperature.

IndicatorAcidic conditionBasic condition
LitmusRedBlue
PhenolphthaleinColourlessPink in its alkaline transition range
Methyl orangeRedYellow
Universal indicatorRed/orange/yellow depending on pHBlue/purple depending on pH

HCl+NaOH→NaCl+H₂O is neutralisation. For a dilute ideal 0.001 M strong monoprotic acid, pH≈3. Salt solutions are not always neutral: Na₂CO₃ solutions are alkaline, while NH₄Cl solutions are acidic.

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Chemical bonding and molecular shape

Ionic bonding: electrostatic attraction; covalent bonding: shared electron pairs

Metallic bonding involves delocalised electrons. Molecular geometry depends on bonding and lone electron pairs: methane is tetrahedral, ammonia trigonal pyramidal and water bent. A polar bond does not guarantee a polar molecule.

Worked example

CO₂ is linear, so its two C=O bond dipoles cancel. H₂O is bent, so its bond dipoles do not cancel.

Common mistake: Describing every covalent molecule as non-polar.

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Oxidation, reduction and electrochemistry

Oxidation loses electrons; reduction gains electrons

An oxidising agent is reduced and a reducing agent is oxidised. Anode is the site of oxidation and cathode of reduction in both galvanic and electrolytic cells. Electrode signs differ between these cell types.

Worked example

Zn+Cu²⁺→Zn²⁺+Cu: zinc loses two electrons and is the reducing agent. Copper ions gain electrons. For a galvanic cell, E°cell=E°cathode−E°anode using reduction potentials.

Common mistake: Assuming the anode is always negative; an electrolytic anode is positive.

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Equilibrium and reaction quotient

For aA+bB⇌cC+dD: Kc=[C]ᶜ[D]ᵈ/([A]ᵃ[B]ᵇ)

Use equilibrium concentrations; omit pure solids and liquids. Reaction quotient Q uses current values. Q<K favours forward net reaction and Q>K favours reverse. K changes with temperature; a catalyst accelerates approach to equilibrium without changing K.

Worked example

For N₂+3H₂⇌2NH₃, Kc=[NH₃]²/([N₂][H₂]³). Higher pressure favours fewer gas moles, here the product side.

Common mistake: Changing K merely because a reactant was added at fixed temperature.

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Thermochemistry and reaction rates

ΔHreaction=ΣνΔHf(products)−ΣνΔHf(reactants)

Exothermic reactions have negative ΔH; endothermic positive. Hess’s law adds enthalpy changes along a path. Rate law rate=k[A]ᵐ[B]ⁿ has orders determined experimentally, not generally by coefficients of the overall equation.

Worked example

If product formation enthalpies sum to −500 kJ and reactants to −300 kJ for the stated reaction, ΔH=−200 kJ. A catalyst lowers the effective activation barrier.

Common mistake: Assuming a favourable enthalpy alone guarantees a rapid reaction.

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Organic functional groups

ClassGroupExample
AlkaneC–C single bondsEthane C₂H₆
AlkeneC=CEthene C₂H₄
AlkyneC≡CEthyne C₂H₂
Alcohol–OHEthanol C₂H₅OH
Aldehyde–CHOEthanal CH₃CHO
Ketone>C=OPropanone CH₃COCH₃
Carboxylic acid–COOHEthanoic acid CH₃COOH
Ester–COO–Ethyl ethanoate CH₃COOC₂H₅
Amine–NH₂ (primary)Methylamine CH₃NH₂

Homologous members share a functional group and successive members commonly differ by CH₂. Isomers have the same molecular formula but different arrangement. Saturated open-chain alkanes follow CₙH₂ₙ₊₂; do not apply that formula to rings.

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Solubility and reaction recognition

At introductory level, alkali-metal and ammonium salts and most nitrates are soluble in water. Many chlorides are soluble, with important exceptions such as AgCl and PbCl₂. Many carbonates and hydroxides are poorly soluble except relevant alkali-metal and ammonium salts. Temperature and the particular substance matter.

Reaction typeExample
Combination2Mg+O₂→2MgO
DecompositionCaCO₃→CaO+CO₂ (heating)
DisplacementZn+CuSO₄→ZnSO₄+Cu
PrecipitationAgNO₃+NaCl→AgCl↓+NaNO₃
Acid–carbonateCaCO₃+2HCl→CaCl₂+H₂O+CO₂
CombustionCH₄+2O₂→CO₂+2H₂O

Equations explain classroom concepts. Carry out practical chemistry only with appropriate instruction and laboratory supervision.

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Practice with answers

How many neutrons in carbon-14?

Z=6, so 14−6=8 neutrons.

Formula from Mg²⁺ and NO₃⁻?

Mg(NO₃)₂ balances the charges.

Moles in 22.005 g CO₂?

Using 44.01 g/mol gives 0.500 mol.

pH for ideal dilute [H⁺]=10⁻⁴ mol/L?

pH≈4.

Which is oxidised in Mg+2H⁺→Mg²⁺+H₂?

Mg loses two electrons and is oxidised.

Does a catalyst change the equilibrium constant?

No. It changes reaction rates, not K at a fixed temperature.

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Questions about this guide

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Choose a topic, read the rule and its conditions, then solve the worked example yourself. Use the practice questions to check understanding. The search box filters topic sections; clear it to restore the complete guide.

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Sources and further reading

Original explanations and examples prepared for this website. The following educational and standards resources support further checking; the lessons above can be read without opening them.

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