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ICSE • Class 9 • Science • Ch 11
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Language of Chemistry

In ICSE Class 9 Chemistry, "Language of Chemistry" establishes the universal symbolic syntax and quantitative vocabulary of the molecular sciences. Chemical communication relies on standard IUPAC symbols (initiated by Jöns Jacob Berzelius in 1814), representing elements by one or two letters derived from English or Latin names (e.g., Sodium $\text{Na}$ from *Natrium*, Iron $\text{Fe}$ from *Ferrum*). The chapter rigorously defines Valency—the combining capacity of an atom or radical, measured by the number of hydrogen atoms or chlorine atoms that combine with or displace one atom of the element. Variable valency is analyzed for transition metals using Latin suffixes (*-ous* for lower valency, *-ic* for higher valency, e.g., $\text{Cu}^+ / \text{Cu}^{2+}, \text{Fe}^{2+} / \text{Fe}^{3+}$) and modern Stock notation ($ ext{Fe(II)}, ext{Fe(III)}$). Radicals (polyatomic ions carrying a net charge, like $\text{SO}_4^{2-}, \text{NH}_4^+, \text{CO}_3^{2-}$) are mastered using the Criss-Cross Method to formulate neutral chemical formulas. The chapter explores writing and balancing chemical equations using the hit-and-trial method based on Lavoisier's Law of Conservation of Mass, stoichiometric calculations of Relative Atomic Mass (RAM on $^{12}\text{C}$ scale), Relative Molecular Mass (RMM), and percentage composition by mass ($w\% = \frac{n \times A_r}{M_r} \times 100$).

The Alchemist's Golden Riddle: How Lavoisier Turned Secret Medieval Spells into the Modern Periodic Language

For over a thousand years during the Middle Ages, alchemists worked in dimly lit stone dungeons trying to turn lead into gold. To keep their recipes secret from rivals and kings, they wrote in cryptic, bizarre occult drawings: gold was depicted as a radiant sun with eyes, silver as a crescent moon, and mercury as a winged dragon swallowing its own tail! Science was paralyzed because no two alchemists spoke the same language. In the late 18th century, French nobleman Antoine Lavoisier swept away the mythological nonsense. He declared that chemistry must be as precise as mathematics: every chemical reaction is an exact balance sheet where matter is neither created nor destroyed! Swedish chemist Berzelius then invented the modern letter code ($ ext{H}, ext{O}, ext{C}, ext{Fe}$). Today, whether a chemist is in Tokyo, London, or New Delhi, the formula $\text{H}_2\text{SO}_4$ tells an identical, unambiguous story of atomic combining capacity and molecular mass. How do we write formulas using atomic valencies? Let us master the language of chemistry!

Why This Chapter Matters

Chemical symbols, formulas, and balanced equations are the universal alphabet for industrial chemical manufacturing, pharmaceutical drug synthesis, metallurgy, and biochemical molecular biology.

Before You Begin (Prerequisites)

  • Atomic structure: protons, electrons, and valence electrons from Class 8.
  • Concept of elements, compounds, and mixtures.

What You Will Learn (Core Objectives)

  • Write correct chemical symbols of common elements, including their Latin origins.
  • Define valency and write formulas of electropositive and electronegative radicals.
  • Construct neutral chemical formulas of compounds using the Criss-Cross Method.
  • Balance skeletal chemical equations using the hit-and-trial method.
  • Calculate the Relative Molecular Mass (RMM) of ionic and covalent compounds.
  • Determine the percentage composition by mass of each constituent element in a compound.

Chapter Roadmap & Progression

1 1. Symbols, Valency & Radicals
2 2. Writing Chemical Formulas: Criss...
3 3. Balancing Equations & Stoichiome...
4 4. Worked ICSE Problem Archetypes

Complete Concept Guide (100% Curriculum Coverage)

1. Symbols, Valency & Radicals

Chemical Symbols & Valency
A. Chemical Symbols:

An abbreviation representing one atom of a specific element. Derived from:

  • First letter of English name: $\\text{H}$ (Hydrogen), $\\text{C}$ (Carbon), $\\text{O}$ (Oxygen).
  • First two letters: $\\text{He}$ (Helium), $\\text{Al}$ (Aluminium), $\\text{Ca}$ (Calcium).
  • Latin names: Sodium $\\to \\mathbf{\\text{Na}}$ (Natrium), Potassium $\\to \\mathbf{\\text{K}}$ (Kalium), Iron $\\to \\mathbf{\\text{Fe}}$ (Ferrum), Copper $\\to \\mathbf{\\text{Cu}}$ (Cuprum), Gold $\\to \\mathbf{\\text{Au}}$ (Aurum), Silver $\\to \\mathbf{\\text{Ag}}$ (Argentum), Lead $\\to \\mathbf{\\text{Pb}}$ (Plumbum).
B. Valency & Variable Valency:

The combining capacity of an atom of an element, determined by the number of valence electrons lost, gained, or shared to achieve a stable octet (or duplet).

  • Monovalent (1): $\\text{Na}^+, \\text{K}^+, \\text{Cl}^-, \\text{H}^+$.
  • Divalent (2): $\\text{Mg}^{2+}, \\text{Ca}^{2+}, \\text{O}^{2-}, \\text{S}^{2-}$.
  • Trivalent (3): $\\text{Al}^{3+}, \\text{N}^{3-}, \\text{P}^{3-}$.
  • Tetravalent (4): $\\text{C}^{4+}, \\text{Si}^{4+}$.
  • Variable Valency: Transition elements exhibit more than one valency due to participation of inner $d$-electrons: $$\\text{Iron: } \\text{Fe}^{2+} \\text{ (Ferrous / Iron(II))} \\quad \\text{and} \\quad \\text{Fe}^{3+} \\text{ (Ferric / Iron(III))}$$ $$\\text{Copper: } \\text{Cu}^+ \\text{ (Cuprous / Copper(I))} \\quad \\text{and} \\quad \\text{Cu}^{2+} \\text{ (Cupric / Copper(II))}$$

2. Writing Chemical Formulas: Criss-Cross Method

Criss-Cross Algorithm
The Criss-Cross Method:
  1. Write the basic radical (cation) on the left and the acidic radical (anion) on the right with their respective valencies as superscripts: $\\text{A}^x \\quad \\text{B}^y$.
  2. Divide the valencies by their highest common factor (if any) to get the simplest integer ratio.
  3. Interchange (criss-cross) the numbers and write them as subscripts to the opposite symbols: $\\text{A}_y\\text{B}_x$. (If a radical is polyatomic, enclose it in brackets before adding a subscript $> 1$).
Illustrative Examples:
  • Aluminium Sulphate: Cation $\\text{Al}^{3+}$, Anion $\\text{SO}_4^{2-}$. Criss-cross valencies $3$ and $2$ $\\implies \\mathbf{\\text{Al}_2(\\text{SO}_4)_3}$.
  • Calcium Carbonate: $\\text{Ca}^{2+}$ and $\\text{CO}_3^{2-}$. Ratio $2 : 2 = 1 : 1 \\implies \\mathbf{\\text{CaCO}_3}$.
  • Ammonium Phosphate: $\\text{NH}_4^+$ and $\\text{PO}_4^{3-} \\implies \\mathbf{(\\text{NH}_4)_3\\text{PO}_4}$.

3. Balancing Equations & Stoichiometric Calculations

Equations & Mass Calculations
A. Balancing Chemical Equations:

By the Law of Conservation of Mass, the number of atoms of each element on the Reactants side must equal the number of atoms on the Products side.

$$\\text{Unbalanced: } \\text{Fe} + \\text{H}_2\\text{O} \\to \\text{Fe}_3\\text{O}_4 + \\text{H}_2$$ $$\\mathbf{\\text{Balanced: } 3\\text{Fe} + 4\\text{H}_2\\text{O} \\to \\text{Fe}_3\\text{O}_4 + 4\\text{H}_2}$$
B. Relative Molecular Mass (RMM) & Percentage Composition:
  • RMM: Sum of the atomic masses of all atoms present in one molecule of the compound (expressed in atomic mass units $\\text{amu}$ or dimensionless).
  • Percentage Composition by Mass: $$\\mathbf{\\% \\text{ of Element} = \\frac{\\text{Total mass of that element in 1 molecule}}{\\text{Relative Molecular Mass of the compound}} \\times 100\\%}$$

4. Worked ICSE Problem Archetypes

Exemplary Solutions
Problem 1: Calculate the Relative Molecular Mass (RMM) of hydrated copper sulphate $\\text{CuSO}_4\\cdot 5\\text{H}_2\\text{O}$. (Given atomic masses: $\\text{Cu} = 63.5, \\text{S} = 32, \\text{O} = 16, \\text{H} = 1$).

Solution:

$$\\text{RMM} = [1 \\times \\text{Cu}] + [1 \\times \\text{S}] + [4 \\times \\text{O}] + 5[2 \\times \\text{H} + 1 \\times \\text{O}]$$ $$\\text{RMM} = [63.5] + [32] + [4 \\times 16] + 5[(2 \\times 1) + 16]$$ $$\\text{RMM} = 63.5 + 32 + 64 + 5(18) = 159.5 + 90 = \\mathbf{249.5\\text{ amu}}$$
Problem 2: Calculate the percentage of nitrogen in urea $[\\text{CO}(\\text{NH}_2)_2]$. (Given: $\\text{C} = 12, \\text{O} = 16, \\text{N} = 14, \\text{H} = 1$).

Solution:

1. Calculate RMM of urea $\\text{CH}_4\\text{N}_2\\text{O}$:

$$\\text{RMM} = 12 + 16 + (2 \\times 14) + (4 \\times 1) = 12 + 16 + 28 + 4 = 60$$

2. Mass of nitrogen in one molecule $= 2 \\times 14 = 28$.

3. Percentage of Nitrogen:

$$\\%\\text{ N} = \\frac{28}{60} \\times 100\\% = \\frac{280}{6} = \\mathbf{46.67\\%}$$

Key Formulas, Reactions & Definitions

Molecular Mass Sum
$$M_r = \sum (n_i \times A_i)$$
Sum of relative atomic masses of constituent atoms.
Percentage Composition
$$w_i\% = \frac{n_i A_i}{M_r} \times 100$$
Mass fraction multiplied by 100.
Conservation of Mass
$$\sum m_{\text{reactants}} = \sum m_{\text{products}}$$
Governs equation balancing.

Chemistry: Criss-Cross Formula Method & Molecular Mass Anatomy

Language of Chemistry: Criss-Cross Method & Formula Formulation Criss-Cross: Aluminium Sulphate Al 3+ SO₄ 2- 2 3 Al₂(SO₄)₃ Neutral Compound: 2(+3) + 3(-2) = 0 Total positive charge balances total negative charge Common Basic & Acidic Radicals Monovalent (Valency 1): • Cations: Na⁺, K⁺, NH₄⁺, Cu⁺ (Cuprous), Ag⁺ • Anions: Cl⁻, OH⁻, NO₃⁻, HCO₃⁻, HSO₄⁻ Divalent (Valency 2): • Cations: Mg²⁺, Ca²⁺, Zn²⁺, Fe²⁺ (Ferrous), Pb²⁺ • Anions: O²⁻, S²⁻, SO₄²⁻, CO₃²⁻, SO₃²⁻ Trivalent (Valency 3): • Cations: Al³⁺, Fe³⁺ (Ferric), Cr³⁺ • Anions: N³⁻, PO₄³⁻ (Phosphate) Law of Conservation of Mass (Lavoisier): Total Atoms on Left ≡ Total Atoms on Right Matter is neither created nor destroyed in a chemical reaction

Chapter Summary & 10 Key Takeaways

Takeaway 1
A chemical symbol represents one atom of an element (initiated by Berzelius).
Takeaway 2
Valency is the combining capacity of an element based on valence electrons lost, gained, or shared.
Takeaway 3
Variable valency occurs in transition metals (lower valency ends in -ous, higher valency in -ic).
Takeaway 4
Radicals are polyatomic groups of atoms carrying a net positive or negative charge that act as a single unit.
Takeaway 5
The Criss-Cross method derives formulas by cross-multiplying the valency numbers as subscripts.
Takeaway 6
A balanced chemical equation has an equal number of atoms of each element on both sides, obeying the Law of Conservation of Mass.
Takeaway 7
Relative Atomic Mass (RAM) is the mass of an atom compared to 1/12th the mass of a Carbon-12 atom.
Takeaway 8
Relative Molecular Mass (RMM) is the sum of the atomic masses of all atoms in one formula unit of the compound.
Takeaway 9
Percentage composition by mass is (Total element mass / Molecular mass) * 100.
Takeaway 10
Stock notation uses Roman numerals in parentheses to denote variable oxidation states: e.g., Iron(III) chloride.

Check Your Understanding (Diagnostic Practice Questions)

Diagnostic questions testing core conceptual clarity. Answers are hidden initially — solve each problem first, then click to reveal the step-by-step verified solution.

1
Write the chemical formulas of the following compounds using the Criss-Cross Method: (i) Calcium bicarbonate, (ii) Ammonium sulphate, (iii) Ferric oxide, (iv) Lead(II) nitrate.
Reveal Answer & Explanation
Answer:

• (i) Calcium bicarbonate:
$\text{Ca}^{2+}$ and $\text{HCO}_3^-$. Criss-cross valencies $2$ and $1$ $\implies \mathbf{\text{Ca}(\text{HCO}_3)_2}$.
• (ii) Ammonium sulphate:
$\text{NH}_4^+$ and $\text{SO}_4^{2-}$. Criss-cross valencies $1$ and $2$ $\implies \mathbf{(\text{NH}_4)_2\text{SO}_4}$.
• (iii) Ferric oxide:
$\text{Fe}^{3+}$ and $\text{O}^{2-}$. Criss-cross valencies $3$ and $2$ $\implies \mathbf{\text{Fe}_2\text{O}_3}$.
• (iv) Lead(II) nitrate:
$\text{Pb}^{2+}$ and $\text{NO}_3^-$. Criss-cross valencies $2$ and $1$ $\implies \mathbf{\text{Pb}(\text{NO}_3)_2}$.


Cross-multiply valencies: Ca(HCO3)2, (NH4)2SO4, Fe2O3, Pb(NO3)2.
2
Balance the following chemical equations by the hit-and-trial method:
(i) $\text{FeSO}_4 o \text{Fe}_2\text{O}_3 + \text{SO}_2 + \text{SO}_3$
(ii) $\text{Pb}(\text{NO}_3)_2 o \text{PbO} + \text{NO}_2 + \text{O}_2$
Reveal Answer & Explanation
Answer:

• (i) Balance $\text{Fe}$ by putting coefficient $2$ on LHS:

$$\mathbf{2\text{FeSO}_4 o \text{Fe}_2\text{O}_3 + \text{SO}_2 + \text{SO}_3}$$


Check: $\text{Fe} = 2, \text{S} = 2, \text{O} = 2 \times 4 = 8$ on both sides. Fully balanced!
• (ii) Thermal decomposition of lead nitrate:

$$\mathbf{2\text{Pb}(\text{NO}_3)_2 o 2\text{PbO} + 4\text{NO}_2 + \text{O}_2}$$


Check: $\text{Pb} = 2, \text{N} = 4, \text{O} = 12$ on both sides. Fully balanced!


(i) 2FeSO4 -> Fe2O3 + SO2 + SO3. (ii) 2Pb(NO3)2 -> 2PbO + 4NO2 + O2.
3
What is meant by "variable valency"? Why do elements like iron and copper exhibit variable valency?
Reveal Answer & Explanation
Answer:

• Variable Valency: The ability of certain elements to exhibit more than one combining capacity (valency) in different chemical compounds.
• Cause: In transition metals, the energy difference between the outermost valence shell (e.g., $4s$) and the penultimate inner subshell (e.g., $3d$) is extremely small.
• Under different reaction conditions, electrons can be lost not only from the outermost shell but also from the penultimate shell, giving rise to multiple stable ionic states (e.g., $\text{Fe}^{2+}$ losing two $4s$ electrons, and $\text{Fe}^{3+}$ losing an additional $3d$ electron).


Elements exhibit multiple combining capacities because electrons can be lost from both outer and penultimate shells.
4
Calculate the percentage of water of crystallization in washing soda crystals ($\text{Na}_2\text{CO}_3\cdot 10\text{H}_2\text{O}$). (Given: $\text{Na} = 23, \text{C} = 12, \text{O} = 16, \text{H} = 1$).
Reveal Answer & Explanation
Answer:

• Step 1: Calculate RMM of $\text{Na}_2\text{CO}_3\cdot 10\text{H}_2\text{O}$:

$$\text{Mass of } \text{Na}_2\text{CO}_3 = (2 \times 23) + 12 + (3 \times 16) = 46 + 12 + 48 = 106$$


$$\text{Mass of } 10\text{H}_2\text{O} = 10 \times (2 + 16) = 10 \times 18 = 180$$


$$\text{Total RMM} = 106 + 180 = 286\text{ amu}$$


• Step 2: Calculate percentage of water:

$$\%\text{ H}_2\text{O} = \frac{180}{286} \times 100\% = \mathbf{62.94\%}$$


Mass of 10H2O = 180. Total RMM = 286. Percentage = (180 / 286) * 100 = 62.94%.
5
State the Latin name and symbol for: (i) Potassium, (ii) Lead, (iii) Gold, (iv) Mercury.
Reveal Answer & Explanation
Answer:

• (i) Potassium: Latin: Kalium $\implies$ Symbol: $\text{K}$.
• (ii) Lead: Latin: Plumbum $\implies$ Symbol: $\text{Pb}$.
• (iii) Gold: Latin: Aurum $\implies$ Symbol: $\text{Au}$.
• (iv) Mercury: Latin: Hydrargyrum $\implies$ Symbol: $\text{Hg}$.


Kalium (K), Plumbum (Pb), Aurum (Au), Hydrargyrum (Hg).
6
Define a "radical". Distinguish between a basic radical and an acidic radical.
Reveal Answer & Explanation
Answer:

• Radical: An atom or a polyatomic group of bonded atoms that behaves as a single chemical unit and carries a positive or negative charge.
• Basic Radical (Cation): A positively charged radical formed by the loss of electrons (usually derived from a base). Examples: $\text{Na}^+, \text{Ca}^{2+}, \text{NH}_4^+$.
• Acidic Radical (Anion): A negatively charged radical formed by the gain of electrons (usually derived from an acid). Examples: $\text{Cl}^-, \text{SO}_4^{2-}, \text{NO}_3^-$.


Basic radicals are positively charged cations (Na+, NH4+); acidic radicals are negatively charged anions (Cl-, SO4^2-).
7
Calculate the mass of oxygen present in $88\text{ grams}$ of carbon dioxide ($\text{CO}_2$). (Given: $\text{C} = 12, \text{O} = 16$).
Reveal Answer & Explanation
Answer: • RMM of $\text{CO}_2 = 12 + (2 \times 16) = 12 + 32 = 44\text{ g/mol}$.
• In $44\text{ g}$ of $\text{CO}_2$, mass of oxygen $= 32\text{ g}$.
• In $88\text{ g}$ of $\text{CO}_2$:
$$\text{Mass of Oxygen} = \frac{32}{44} \times 88 = 32 \times 2 = \mathbf{64\text{ grams}}$$
CO2 has RMM = 44. Oxygen is 32/44 of total mass. In 88 g: (32/44) * 88 = 64 g.
8
Why is a balanced chemical equation required to obey the Law of Conservation of Mass?
Reveal Answer & Explanation
Answer:

• The Law of Conservation of Mass states that in any closed chemical reaction, matter is neither created nor destroyed.
• Since atoms are indestructible particles that merely rearrange their chemical bonds during a reaction, the total number of atoms of each individual element present in the reactants must be identical to the total number of atoms of that element in the products.
• Balancing coefficients ensures this mass invariance holds mathematically.


Atoms are neither created nor destroyed during chemical reactions; balancing ensures equal atom counts on both sides.
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