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Atoms and Molecules part 1

Atoms and Molecules - Complete Class 9 Science Notes

🧪 Atoms and Molecules

Complete Class 9 Science Notes | Chapter 3 | Deep Learning Guide

📚 Welcome to Your Complete Study Guide!

You've come to the right place to master Atoms and Molecules. This comprehensive guide covers everything from basic concepts to advanced numerical problems, designed specifically for Class 9 students following the NCERT curriculum.

🌍 1. Introduction – The Story of the Smallest Things

Look around you right now. The air you're breathing, the water you drink, your mobile phone, the book in your hands, and even your own body – everything you see, touch, or feel is made up of something incredibly tiny and invisible to the naked eye called atoms.

Imagine taking a piece of chocolate and cutting it into smaller and smaller pieces. You keep dividing it until you reach a point where you cannot divide it anymore without changing its fundamental nature. That final, indivisible particle is called an atom.

Word Origin: The word "atom" comes from the Greek word 'atomos', which means "indivisible" or "uncuttable." The Greeks believed that if you kept dividing matter, you would eventually reach a particle that could not be divided further.

Interestingly, thousands of years before modern science developed microscopes and sophisticated instruments, ancient Indian philosophers had already proposed similar ideas. Maharshi Kanad, an ancient Indian sage and philosopher, proposed that everything in the universe is made up of tiny, indivisible particles called Parmanu (paramāṇu). This shows that human curiosity about the fundamental nature of matter is as old as civilization itself!

Today, we know that atoms are not truly indivisible – they contain even smaller particles like protons, neutrons, and electrons. However, in chemical reactions, atoms behave as if they are indivisible units, which is why understanding atoms is fundamental to understanding chemistry.

⚛️ 2. The Early Ideas About Atoms

Before scientists could actually observe atoms through experiments, they had to imagine and reason about their existence. Both ancient Indian and Greek philosophers independently arrived at similar conclusions through logical thinking.

Ancient Philosophical Thinking

The Greek philosophers Democritus and Leucippus (around 400 BCE) proposed that if you kept dividing matter into smaller and smaller pieces, you would eventually reach a point where further division was impossible. They called these ultimate particles "atoms."

Similarly, in ancient India, Maharshi Kanad proposed the concept of Parmanu in his work Vaisheshika Sutra. He suggested that these particles were eternal, indestructible, and infinitesimally small. He even classified these particles based on the elements – earth, water, fire, air, and ether (akasha).

However, these were philosophical concepts based on logical reasoning rather than experimental evidence. It wasn't until the early 19th century that John Dalton, an English school teacher and scientist, gave the first scientific atomic theory based on experimental observations.

📘 3. Dalton's Atomic Theory (1808)

John Dalton's atomic theory, published in 1808, was revolutionary because it was the first theory to explain atoms in a scientific, systematic way. Dalton imagined atoms as solid, indivisible, perfectly spherical particles – similar to tiny billiard balls.

Dalton's Main Postulates (Explained in Detail)

No. Postulate Explanation
1 All matter is made up of extremely small particles called atoms. Everything in the universe, whether living or non-living, solid, liquid, or gas, is built from these tiny building blocks called atoms.
2 Atoms cannot be created, divided, or destroyed. Atoms are permanent and eternal. In chemical reactions, they are neither created nor destroyed; they simply rearrange themselves to form new substances.
3 Atoms of a given element are identical in mass and properties. Every hydrogen atom is identical to every other hydrogen atom. All gold atoms are the same. This uniformity is what gives elements their characteristic properties.
4 Atoms of different elements have different masses and properties. An oxygen atom is different from a nitrogen atom in weight, size, and chemical behavior. This difference is what makes elements unique.
5 Atoms combine in fixed whole-number ratios to form compounds. Water always has hydrogen and oxygen atoms in a 2:1 ratio (H₂O). This ratio never changes, which is why water always has the same properties.
6 Chemical reactions involve rearrangement of atoms. In a chemical reaction, atoms simply exchange partners and rearrange. No atoms are created or destroyed in the process.

Why Dalton's Theory Was Important

  • Why chemical reactions follow fixed proportions – If atoms combine in definite ratios, then the substances they form will always have the same composition.
  • Why mass is conserved in reactions – If atoms are neither created nor destroyed, then the total mass before and after a reaction must remain constant.
  • Why elements have unique properties – Different atoms have different masses and behaviors, giving each element its characteristic properties.
  • How compounds are formed – Atoms of different elements combine in simple whole-number ratios to form compounds.
Important: The atomic masses shown in the periodic table are actually average atomic masses because most elements exist as mixtures of isotopes (atoms with the same number of protons but different numbers of neutrons). This is why some atomic masses, like chlorine (35.5 u), are not whole numbers.

⚛️ 8. What is a Molecule?

Most atoms in nature do not exist independently. They have a strong tendency to combine with other atoms (of the same or different elements) to form larger particles called molecules.

Definition: A molecule is the smallest particle of a substance (element or compound) that can exist independently and retains all the chemical properties of that substance.

Think of it this way: If atoms are like individual LEGO blocks, then molecules are the structures you build by connecting those blocks together. Just as different LEGO structures have different shapes and functions, different molecules have different properties.

Why Do Atoms Form Molecules?

Atoms combine to form molecules because they become more stable when bonded together. Except for noble gases (like helium, neon, argon), most atoms are unstable when alone. They achieve stability by sharing or transferring electrons with other atoms, forming chemical bonds.

Examples of Molecules

  • Oxygen molecule (O₂): Two oxygen atoms combine to form one oxygen molecule that we breathe.
  • Water molecule (H₂O): Two hydrogen atoms and one oxygen atom combine to form water.
  • Carbon dioxide molecule (CO₂): One carbon atom and two oxygen atoms combine to form carbon dioxide.
  • Glucose molecule (C₆H₁₂O₆): 6 carbon, 12 hydrogen, and 6 oxygen atoms combine to form glucose sugar.

Types of Molecules

Molecules can be classified into two main categories based on their composition:

(i) Molecules of Elements

These molecules are formed when atoms of the same element combine together. These molecules represent elements in their natural state.

Element Atomicity Molecular Formula Example
Hydrogen Diatomic H₂ Two hydrogen atoms form one molecule
Oxygen Diatomic O₂ Two oxygen atoms form one molecule
Nitrogen Diatomic N₂ Two nitrogen atoms form one molecule
Chlorine Diatomic Cl₂ Two chlorine atoms form one molecule
Ozone Triatomic O₃ Three oxygen atoms form ozone
Phosphorus Tetratomic P₄ Four phosphorus atoms form one molecule
Sulphur Polyatomic S₈ Eight sulphur atoms form one molecule
Helium Monoatomic He Exists as single atoms (noble gas)
Neon Monoatomic Ne Exists as single atoms (noble gas)
Argon Monoatomic Ar Exists as single atoms (noble gas)

(ii) Molecules of Compounds

These molecules are formed when atoms of different elements combine together in a fixed ratio. These molecules represent chemical compounds.

Compound Molecular Formula Constituent Atoms Atomicity
Water H₂O 2 Hydrogen + 1 Oxygen 3
Carbon dioxide CO₂ 1 Carbon + 2 Oxygen 3
Ammonia NH₃ 1 Nitrogen + 3 Hydrogen 4
Methane CH₄ 1 Carbon + 4 Hydrogen 5
Sulphuric acid H₂SO₄ 2 Hydrogen + 1 Sulphur + 4 Oxygen 7
Glucose C₆H₁₂O₆ 6 Carbon + 12 Hydrogen + 6 Oxygen 24

Atomicity: The number of atoms present in one molecule of an element or compound is called its atomicity. For example, O₂ has atomicity 2, O₃ has atomicity 3, and S₈ has atomicity 8.

🧮 9. Molecular Mass and Formula Unit Mass

Molecular Mass

The molecular mass of a substance is the sum of the atomic masses of all the atoms present in one molecule of that substance.

Molecular Mass = Sum of atomic masses of all atoms in the molecule

Example 3: Calculate the molecular mass of water (H₂O)

Step 1: Identify the atoms present

Water has 2 hydrogen atoms and 1 oxygen atom

Step 2: Find atomic masses

  • Atomic mass of H = 1 u
  • Atomic mass of O = 16 u

Step 3: Calculate molecular mass

Molecular mass of H₂O = (2 × 1) + (1 × 16)

= 2 + 16 = 18 u

Example 4: Calculate the molecular mass of glucose (C₆H₁₂O₆)

Atoms present: 6 Carbon + 12 Hydrogen + 6 Oxygen

Atomic masses:

  • C = 12 u
  • H = 1 u
  • O = 16 u

Calculation:

Molecular mass = (6 × 12) + (12 × 1) + (6 × 16)

= 72 + 12 + 96 = 180 u

Formula Unit Mass

For ionic compounds (like common salt - NaCl), we don't use the term "molecular mass" because they don't exist as discrete molecules. Instead, we use the term formula unit mass.

Formula Unit Mass: The sum of atomic masses of all atoms in the formula unit of an ionic compound.

Example 5: Calculate the formula unit mass of sodium chloride (NaCl)

Atoms present: 1 Sodium + 1 Chlorine

Atomic masses:

  • Na = 23 u
  • Cl = 35.5 u

Calculation:

Formula unit mass = 23 + 35.5 = 58.5 u

🔢 10. The Mole Concept – Counting Atoms

Imagine you're a shopkeeper who needs to count millions of rice grains or sugar crystals every day. Counting them one by one would be impossible! Instead, you would weigh them. Similarly, chemists need a convenient way to count the enormous number of atoms and molecules in chemical reactions.

This is where the concept of the mole comes in. A mole is simply a very large counting unit, similar to how a dozen means 12 or a gross means 144.

Definition: One mole is defined as the amount of substance that contains as many particles (atoms, molecules, or ions) as there are atoms in exactly 12 grams of carbon-12.

This number is called Avogadro's number (or Avogadro's constant), named after the Italian scientist Amedeo Avogadro.

1 mole = 6.022 × 10²³ particles
(This is Avogadro's number)

How Large is Avogadro's Number?

To appreciate how incredibly large this number is, consider this:

If you counted 6.022 × 10²³ grains of rice at a rate of one grain per second, it would take you more than 19 trillion years to finish counting – that's longer than the age of the universe!

Understanding Molar Mass

The molar mass of a substance is the mass of one mole of that substance, expressed in grams.

Molar mass (in grams) = Atomic/Molecular mass (in u)

This remarkable relationship means:

  • 1 mole of hydrogen atoms (H) = 1 gram
  • 1 mole of carbon atoms (C) = 12 grams
  • 1 mole of oxygen atoms (O) = 16 grams
  • 1 mole of water molecules (H₂O) = 18 grams

Important Formulas for Mole Calculations

Number of moles = Given mass (in grams) / Molar mass (in g/mol)
Number of particles = Number of moles × Avogadro's number

Example 6: Calculate the number of moles in 46 grams of sodium (Na)

Given:

  • Mass of sodium = 46 g
  • Atomic mass of Na = 23 u
  • Therefore, molar mass of Na = 23 g/mol

Solution:

Number of moles = Given mass / Molar mass

= 46 g / 23 g/mol

= 2 moles

Example 7: How many molecules are present in 18 grams of water?

Given:

  • Mass of water = 18 g
  • Molecular mass of H₂O = 18 u
  • Molar mass of H₂O = 18 g/mol

Step 1: Calculate number of moles

Number of moles = 18 g / 18 g/mol = 1 mole

Step 2: Calculate number of molecules

Number of molecules = 1 mole × 6.022 × 10²³

= 6.022 × 10²³ molecules

Example 8: Calculate the mass of 0.5 moles of carbon dioxide (CO₂)

Given:

  • Number of moles = 0.5
  • Molecular mass of CO₂ = 12 + (2 × 16) = 44 u
  • Molar mass of CO₂ = 44 g/mol

Solution:

Rearranging: Mass = Number of moles × Molar mass

= 0.5 × 44

= 22 grams

⚡ 11. Valency – The Combining Capacity

You might have noticed that hydrogen always forms H₂, water is always H₂O, and ammonia is always NH₃. Why do elements combine in these specific ratios? The answer lies in a property called valency.

Definition: Valency is the combining capacity of an element – the number of hydrogen atoms or twice the number of oxygen atoms that can combine with one atom of the element.

Think of valency as the number of "hands" an atom has available to hold onto other atoms. Some atoms have one hand (valency 1), some have two hands (valency 2), and so on.

Common Valencies of Elements

Element Symbol Valency Example Compound
Hydrogen H 1 HCl, H₂O
Sodium Na 1 NaCl, Na₂O
Potassium K 1 KCl, K₂O
Magnesium Mg 2 MgCl₂, MgO
Calcium Ca 2 CaCl₂, CaO
Oxygen O 2 H₂O, CO₂
Aluminium Al 3 AlCl₃, Al₂O₃
Nitrogen N 3 NH₃, N₂O₃
Carbon C 4 CH₄, CO₂
Silicon Si 4 SiO₂, SiCl₄

Valency of Radicals (Polyatomic Ions)

Radical Name Formula Valency
Hydroxide OH⁻ 1
Nitrate NO₃⁻ 1
Carbonate CO₃²⁻ 2
Sulphate SO₄²⁻ 2
Phosphate PO₄³⁻ 3
Ammonium NH₄⁺ 1

📝 12. Writing Chemical Formulas

A chemical formula represents the composition of a molecule using symbols and numbers. It tells us which elements are present and in what ratio.

Rules for Writing Chemical Formulas

  1. Write the symbols: Write the symbols of the elements or radicals present in the compound.
  2. Write valencies: Write the valency of each element/radical below its symbol.
  3. Exchange valencies: Exchange the valencies and write them as subscripts.
  4. Simplify if needed: If the subscripts have a common factor, divide them by that factor.
  5. For radicals: If the valency exchanged is greater than 1, enclose the radical in brackets with the subscript outside.

Example 9: Write the formula for magnesium chloride

Step 1: Write symbols and valencies

Mg (valency 2) and Cl (valency 1)

Step 2: Exchange valencies

Mg₁Cl₂ → MgCl₂

Note: We don't write the subscript "1", so it becomes MgCl₂

Example 10: Write the formula for aluminium oxide

Step 1: Write symbols and valencies

Al (valency 3) and O (valency 2)

Step 2: Exchange valencies

Al₂O₃ → Al₂O₃

Example 11: Write the formula for calcium hydroxide

Step 1: Write symbols and valencies

Ca (valency 2) and OH (valency 1)

Step 2: Exchange valencies

Since the hydroxide radical appears twice, enclose it in brackets

Ca₁(OH)₂ → Ca(OH)₂

Example 12: Write the formula for ammonium sulphate

Step 1: Write symbols and valencies

NH₄ (valency 1) and SO₄ (valency 2)

Step 2: Exchange valencies

(NH₄)₂(SO₄)₁ → (NH₄)₂SO₄

🎯 13. Practice Questions

Short Answer Questions

Question 1:

What is the difference between an atom and a molecule?

Question 2:

Define the law of conservation of mass with an example.

Question 3:

Calculate the molecular mass of sulphuric acid (H₂SO₄).

Question 4:

How many molecules are present in 32 grams of oxygen gas (O₂)?

Question 5:

Write the chemical formula for: (a) Sodium carbonate (b) Calcium hydroxide (c) Aluminium sulphate

Long Answer Questions

Question 6:

State and explain Dalton's atomic theory. Mention any two limitations of this theory.

Question 7:

Explain the law of constant proportions with suitable examples.

Question 8:

What is a mole? How is it related to Avogadro's number? Calculate the number of atoms in 0.5 moles of carbon.

Question 9:

Differentiate between atomicity and valency with examples.

Question 10:

Calculate the number of moles and molecules in 90 grams of water.

📌 14. Key Points to Remember

✓ An atom is the smallest particle of an element that retains all properties of that element.
✓ A molecule is the smallest particle of a substance that can exist independently.
✓ Dalton's atomic theory laid the foundation for modern atomic science.
✓ Law of conservation of mass: Mass is neither created nor destroyed in a chemical reaction.
✓ Law of constant proportions: A compound always contains the same elements in the same fixed ratio by mass.
✓ 1 mole = 6.022 × 10²³ particles (Avogadro's number)
✓ Molar mass in grams = Atomic/Molecular mass in u
✓ Number of moles = Given mass / Molar mass
✓ Valency is the combining capacity of an element.
✓ To write chemical formulas: Exchange valencies between combining elements/radicals.

💡 15. Tips for Exam Success

For Theory Questions:

  • Understand concepts, don't just memorize
  • Practice writing definitions in your own words
  • Always provide examples when explaining laws
  • Draw diagrams wherever possible (especially for molecular structures)

For Numerical Problems:

  • Write the given data clearly
  • Mention the formula you're using
  • Show all steps of calculation
  • Always write units with your final answer
  • Practice at least 10-15 numerical problems daily

Common Mistakes to Avoid:

  • ❌ Confusing atomic mass with molar mass
  • ❌ Forgetting to enclose radicals in brackets when writing formulas
  • ❌ Writing incorrect subscripts in chemical formulas
  • ❌ Not simplifying chemical formulas when possible
  • ❌ Mixing up valency and atomicity

🎓 Continue Your Learning Journey!

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🔬 16. Advanced Topics - Deep Dive into Atomic Structure

Subatomic Particles: Inside the Atom

While Dalton believed atoms were indivisible, later scientific discoveries revealed that atoms themselves are made up of even smaller particles called subatomic particles. The three main subatomic particles are:

Particle Symbol Charge Mass Location Discovered By
Proton p⁺ +1 1 u Nucleus Ernest Rutherford (1919)
Neutron n⁰ 0 (neutral) 1 u Nucleus James Chadwick (1932)
Electron e⁻ -1 1/1836 u (negligible) Orbits around nucleus J.J. Thomson (1897)

Structure of an Atom

An atom consists of two main regions:

1. Nucleus (Center of the Atom):

  • Contains protons and neutrons
  • Extremely small but very dense
  • Contains almost all the mass of the atom
  • Positively charged due to protons

2. Electron Cloud (Surrounding the Nucleus):

  • Contains electrons moving in orbits or shells
  • Takes up most of the space in an atom
  • Negatively charged due to electrons
  • Mass is negligible compared to nucleus

Important Relationships in Atomic Structure

Atomic Number (Z) = Number of Protons = Number of Electrons
Mass Number (A) = Number of Protons + Number of Neutrons
Number of Neutrons = Mass Number - Atomic Number

Example 13: Carbon Atom Structure

Carbon has atomic number 6 and mass number 12

  • Number of Protons: 6 (same as atomic number)
  • Number of Electrons: 6 (same as number of protons)
  • Number of Neutrons: 12 - 6 = 6

Therefore, a carbon atom has 6 protons, 6 neutrons, and 6 electrons.

Limitations of Dalton's Atomic Theory

While Dalton's atomic theory was groundbreaking, modern science has revealed several limitations:

Dalton's Statement Modern Understanding
Atoms are indivisible Atoms can be divided into protons, neutrons, and electrons. Nuclear reactions can split atoms.
All atoms of an element are identical Isotopes exist - atoms of the same element can have different masses (different numbers of neutrons).
Atoms of different elements have different masses Some atoms of different elements can have the same mass (isobars). Example: Argon-40 and Calcium-40.
Atoms cannot be created or destroyed Nuclear reactions (fission and fusion) can create or destroy atoms by converting mass to energy (E=mc²).
Atoms combine in simple whole number ratios Complex organic compounds don't always follow simple ratios. Example: sugar (C₁₂H₂₂O₁₁) has a complex ratio.
Important: Despite these limitations, Dalton's atomic theory remains fundamentally important because it correctly explains the basic behavior of atoms in chemical reactions and laid the foundation for modern chemistry.

⚗️ 17. Comprehensive Guide to Chemical Combination Laws

Why Are These Laws Important?

Before Dalton's atomic theory, chemists had observed certain patterns in how substances combined. These observations led to the formulation of laws that still form the basis of modern chemistry. Understanding these laws helps us predict how substances will react and in what proportions.

Law of Conservation of Mass - Detailed Analysis

Statement: "In a chemical reaction, the total mass of products is always equal to the total mass of reactants. Mass is neither created nor destroyed."

Proposed by: Antoine Lavoisier (1789)

Also known as: Law of Indestructibility of Matter

Real-World Applications

Example 14: Rusting of Iron

Reaction: Iron + Oxygen → Iron Oxide (Rust)

If 112 grams of iron reacts with 48 grams of oxygen:

  • Total mass of reactants = 112 + 48 = 160 grams
  • Total mass of product (rust) = 160 grams

Conclusion: The mass before and after the reaction remains constant.

Example 15: Decomposition of Water

Reaction: 2H₂O → 2H₂ + O₂

If 36 grams of water is decomposed:

  • Mass of water decomposed = 36 grams
  • Mass of hydrogen produced = 4 grams
  • Mass of oxygen produced = 32 grams
  • Total mass of products = 4 + 32 = 36 grams

Verification: Mass of reactant = Mass of products ✓

Law of Constant Proportions - Detailed Analysis

Statement: "A pure chemical compound always contains the same elements combined in the same fixed proportion by mass, regardless of its source or method of preparation."

Proposed by: Joseph Proust (1799)

Also known as: Law of Definite Proportions or Law of Definite Composition

Detailed Examples

Example 16: Ammonia (NH₃)

Ammonia always contains nitrogen and hydrogen in the ratio 14:3 by mass.

Sample Mass of Nitrogen Mass of Hydrogen Ratio
Sample 1 28 g 6 g 28:6 = 14:3
Sample 2 70 g 15 g 70:15 = 14:3
Sample 3 140 g 30 g 140:30 = 14:3

No matter where the ammonia comes from, the ratio is always constant!

Example 17: Carbon Dioxide (CO₂)

Carbon dioxide always contains carbon and oxygen in the ratio 3:8 by mass.

Calculation:

  • Atomic mass of C = 12 u
  • Atomic mass of O = 16 u
  • In CO₂: 1 carbon atom + 2 oxygen atoms
  • Mass ratio = 12 : (2 × 16) = 12:32 = 3:8

This means in 44 grams of CO₂:

  • Carbon = (3/11) × 44 = 12 grams
  • Oxygen = (8/11) × 44 = 32 grams

🧪 18. Advanced Mole Concept Problems

Understanding the Mole - A Chemist's Dozen

Just as a baker uses "dozen" (12) to count eggs, chemists use "mole" to count atoms and molecules. The mole is simply a very large number used to count incredibly small particles.

Fun Fact: If you had a mole of rice grains, they would cover the entire surface of Earth to a depth of about 75 meters (246 feet)! That's how large Avogadro's number is.

Comprehensive Mole Problems

Example 18: Multi-Step Mole Calculation

Question: Calculate the number of atoms in 5 moles of oxygen molecules (O₂).

Solution:

Step 1: Find number of molecules

Number of molecules = 5 moles × 6.022 × 10²³

= 3.011 × 10²⁴ molecules

Step 2: Find number of atoms

Since each O₂ molecule contains 2 oxygen atoms:

Number of atoms = 3.011 × 10²⁴ × 2

= 6.022 × 10²⁴ atoms

Example 19: Converting Between Mass and Particles

Question: How many molecules are present in 88 grams of carbon dioxide (CO₂)?

Given:

  • Mass of CO₂ = 88 g
  • Molecular mass of CO₂ = 12 + (2 × 16) = 44 u
  • Molar mass = 44 g/mol

Step 1: Calculate moles

Number of moles = 88 / 44 = 2 moles

Step 2: Calculate molecules

Number of molecules = 2 × 6.022 × 10²³

= 1.2044 × 10²⁴ molecules

Example 20: Reverse Calculation

Question: What mass of calcium contains 3.011 × 10²³ atoms?

Given:

  • Number of atoms = 3.011 × 10²³
  • Atomic mass of Ca = 40 u
  • Molar mass = 40 g/mol

Step 1: Calculate moles

Number of moles = (3.011 × 10²³) / (6.022 × 10²³)

= 0.5 moles

Step 2: Calculate mass

Mass = 0.5 × 40 = 20 grams

Example 21: Complex Compound Calculation

Question: Calculate the number of oxygen atoms in 0.25 moles of sulphuric acid (H₂SO₄).

Given:

  • Moles of H₂SO₄ = 0.25
  • Each molecule has 4 oxygen atoms

Step 1: Find number of molecules

Number of molecules = 0.25 × 6.022 × 10²³

= 1.5055 × 10²³ molecules

Step 2: Find oxygen atoms

Number of O atoms = 1.5055 × 10²³ × 4

= 6.022 × 10²³ oxygen atoms

📐 19. Mastering Chemical Formula Writing

Advanced Formula Writing Techniques

Writing chemical formulas correctly is essential for understanding chemistry. Let's explore more complex examples and techniques.

Method: The Criss-Cross Method

Steps for Criss-Cross Method:

  1. Write symbols of elements/radicals side by side
  2. Write their valencies below the symbols
  3. Cross-over the valencies (first element's valency becomes second element's subscript)
  4. Simplify if possible by dividing by common factor
  5. For radicals with subscript > 1, use brackets

Example 22: Aluminium Sulphate

Elements/Radicals: Al (valency 3) and SO₄ (valency 2)

Step-by-step:

Al³⁺ and SO₄²⁻

Criss-cross: Al₂(SO₄)₃

Final Answer: Al₂(SO₄)₃

Note: We use brackets for SO₄ because its subscript is 3.

Example 23: Calcium Phosphate

Elements/Radicals: Ca (valency 2) and PO₄ (valency 3)

Criss-cross: Ca₃(PO₄)₂

Final Answer: Ca₃(PO₄)₂

Example 24: Magnesium Oxide (with simplification)

Elements: Mg (valency 2) and O (valency 2)

Before simplification: Mg₂O₂

After simplification: Divide both by 2

Final Answer: MgO

Practice Set: Write Formulas for These Compounds

Compound Name Elements/Radicals Valencies Formula
Sodium Sulphate Na, SO₄ 1, 2 Na₂SO₄
Potassium Nitrate K, NO₃ 1, 1 KNO₃
Magnesium Hydroxide Mg, OH 2, 1 Mg(OH)₂
Ferric Oxide Fe, O 3, 2 Fe₂O₃
Zinc Carbonate Zn, CO₃ 2, 2 ZnCO₃
Barium Chloride Ba, Cl 2, 1 BaCl₂

🎓 20. Comprehensive Practice Questions

Numerical Problems (Advanced Level)

Question 11:

Calculate the molecular mass of: (a) Nitric acid (HNO₃) (b) Calcium carbonate (CaCO₃) (c) Ammonium sulphate [(NH₄)₂SO₄]

Question 12:

How many moles are present in: (a) 71 grams of chlorine gas (Cl₂)? (b) 100 grams of calcium carbonate (CaCO₃)?

Question 13:

Calculate the mass of: (a) 2.5 moles of oxygen atoms (b) 0.2 moles of water molecules (c) 5 moles of sodium atoms

Question 14:

How many atoms are present in: (a) 8 grams of oxygen gas (O₂)? (b) 52 grams of helium?

Question 15:

Calculate the number of molecules in: (a) 36 grams of water (b) 22 grams of carbon dioxide (c) 17 grams of ammonia

Theory Questions (Comprehensive)

Question 16:

Explain the law of conservation of mass with two examples from daily life.

Question 17:

What are isotopes? Why do some elements have non-whole number atomic masses? Explain with the example of chlorine.

Question 18:

Differentiate between: (a) Atom and molecule (b) Element and compound (c) Atomic mass and molecular mass (d) Mole and Avogadro's number

Question 19:

Describe the structure of an atom. What are the three subatomic particles? Where are they located and what are their charges?

Question 20:

Write the chemical formulas for the following compounds: (a) Magnesium hydroxide (b) Aluminium oxide (c) Sodium carbonate (d) Potassium permanganate (e) Copper sulphate

Application-Based Questions

Question 21:

A compound contains 40% carbon, 6.7% hydrogen, and 53.3% oxygen by mass. Calculate the empirical formula. (Given: C=12, H=1, O=16)

Question 22:

In a reaction, 5.6 grams of iron reacts with oxygen to form 8 grams of iron oxide. Calculate the mass of oxygen that reacted. Verify the law of conservation of mass.

Question 23:

A sample of ammonia (NH₃) contains 14 grams of nitrogen. Calculate: (a) Mass of hydrogen in the sample (b) Total mass of ammonia (c) Number of moles of ammonia

✅ 21. Solutions to Practice Questions

Numerical Solutions

Solution to Question 11:

(a) HNO₃: 1 + 14 + (3 × 16) = 1 + 14 + 48 = 63 u

(b) CaCO₃: 40 + 12 + (3 × 16) = 40 + 12 + 48 = 100 u

(c) (NH₄)₂SO₄: (2 × 14) + (8 × 1) + 32 + (4 × 16) = 28 + 8 + 32 + 64 = 132 u

Solution to Question 12:

(a) Chlorine gas (Cl₂):

  • Molecular mass of Cl₂ = 2 × 35.5 = 71 u
  • Molar mass = 71 g/mol
  • Moles = 71 / 71 = 1 mole

(b) CaCO₃:

  • Molecular mass = 100 u (from Question 11)
  • Molar mass = 100 g/mol
  • Moles = 100 / 100 = 1 mole

Solution to Question 14:

(a) 8 grams of O₂:

  • Molecular mass of O₂ = 32 u
  • Moles = 8/32 = 0.25 moles
  • Molecules = 0.25 × 6.022 × 10²³ = 1.5055 × 10²³
  • Each molecule has 2 atoms
  • Total atoms = 1.5055 × 10²³ × 2 = 3.011 × 10²³ atoms

🏆 22. Final Summary and Quick Revision

Most Important Formulas - Memorize These!

  • Number of moles = Mass / Molar mass
  • Number of particles = Moles × 6.022 × 10²³
  • Mass Number = Protons + Neutrons
  • Atomic Number = Protons = Electrons
  • Molecular Mass = Sum of atomic masses of all atoms
Remember: 1 mole of any substance contains 6.022 × 10²³ particles and has a mass in grams equal to its atomic/molecular mass in u.
For Exams: Always write units in your answers. Always show the formula before calculation. Double-check chemical formulas for correct subscripts and brackets.

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