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Chemistry · Class 11 Science

Ch 5States of Matter — Solids and Gases — Class 11 Chemistry, concept-first.

Matter around us commonly exists in three physical states — solid, liquid and gas — and this chapter builds a quantitative picture of the two extremes, the solid state and the gaseous state, starting with how solids are classified.

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Chapter contents

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1.1

Classification of Solids

Matter around us commonly exists in three physical states — solid, liquid and gas — and this chapter builds a quantitative picture of the two extremes, the solid state and the gaseous state, starting…

1.2

Amorphous and Crystalline Solids

Solids are further divided into two categories based on the degree of order in the arrangement of their constituent particles: crystalline solids and amorphous solids.

1.3

Crystal Lattices and Unit Cells

To describe the internal, geometric arrangement of particles in a crystalline solid precisely, chemists use the idea of a crystal lattice.

1.4

Number of Atoms per Unit Cell

A unit cell's corners, faces, edges and body-centre are not private to that one cell — most of these positions are shared with neighbouring unit cells in the stacked lattice, so an atom sitting there…

1.5

Close Packing and Packing Efficiency

Packing efficiency is the percentage of a unit cell's total volume that is actually occupied by its constituent atoms, treated as hard, touching spheres of equal size.

1.6

Density of Unit Cell

Packing efficiency tells us what fraction of a unit cell is occupied by atoms, but chemists more often need the crystal's actual, measurable density — the mass per unit volume, usually in .

1.7

Point Defects in Solids

No real crystal is a perfect, infinitely repeating lattice — at any temperature above absolute zero, thermal vibration and the practical realities of crystal growth introduce localised irregularities…

1.8

Kinetic Theory of Gases

Having built a picture of ordered solids, the chapter now turns to the opposite extreme of molecular organisation — the gaseous state, where particles are in constant, chaotic motion with almost no fi…

1.9

The Gas Laws: Boyle's, Charles's and Avogadro's Law

Long before the kinetic theory explained why gases behave as they do, three empirical laws — discovered from careful experimental measurement — described how they behave.

1.10

Ideal Gas Equation

Boyle's law ( at constant ), Charles's law ( at constant ), and Avogadro's law ( at constant ) can each be combined into a single proportionality: Introducing a proportionality constant , called the u…

1.11

Dalton's Law of Partial Pressures

The ideal gas equation, as introduced so far, applies to a single, pure gas. Dalton's law of partial pressures extends the same idea to a mixture of two or more gases that do not chemically react with…

1.12

Graham's Law of Diffusion

Graham's law of diffusion describes how quickly different gases spread out and mix — diffusion — or escape through a tiny pinhole into a vacuum — effusion.

1.13

Deviation from Ideal Behaviour and the van der Waals Equation

The ideal gas equation, , describes real gases only approximately — and the approximation breaks down noticeably at high pressure and low temperature.

1.14

Critical Temperature and Liquefaction of Gases

Every real gas has a characteristic temperature, called its critical temperature (), above which it is physically impossible to liquefy the gas by applying pressure alone, no matter how great that pre…

1.15

Summary

This chapter examined two states of matter that sit at opposite extremes of molecular organisation, yet are explained by the same underlying idea: the microscopic arrangement and motion of particles d…

Sample & Board Papers

Sample papers and previous-year board questions for this subject.

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30 Q
+Show 15 questions15 questions
  1. Example 1Classify the following solids as molecular, ionic, covalent (network) or metallic, giving one reason for each: sodium chloride ($\text{NaCl}…Free
  2. Example 3Prepare a short comparison of the four types of crystalline solids — molecular, ionic, covalent (network) and metallic — stating the constit…Free
  3. Example 5Calculate the number of atoms per unit cell in a body-centred cubic (bcc) lattice, accounting separately for the corner atoms and the body-c…Free
  4. Example 7Derive the packing efficiency of a simple cubic unit cell, in which atoms touch along the edge of the cube.Preview
  5. Example 9Derive the packing efficiency of a face-centred cubic (fcc / ccp) unit cell, in which atoms touch along the face diagonal.Preview
  6. Example 11Iron crystallises in a body-centred cubic lattice with an edge length of $287\ \text{pm}$. Given that the molar mass of iron is $56\ \text{g…Preview
  7. Example 13Explain the Schottky defect: the condition under which it arises, the species involved, and its effect on the density of the crystal. Give o…Preview
  8. Example 15Explain the metal-excess defect that arises from anion vacancies (F-centres), using $\text{NaCl}$ heated in sodium vapour as an example. Why…Preview
  9. Example 17A sample of gas occupies $500\ \text{mL}$ at a pressure of $1\ \text{atm}$. At constant temperature, what volume will it occupy if the press…Preview
  10. Example 19A vessel of $2\ \text{L}$ nitrogen gas and a vessel of $2\ \text{L}$ oxygen gas are both at the same temperature and pressure. Using Avogadr…Preview
  11. Example 21A gas has a density of $1.964\ \text{g L}^{-1}$ at STP ($0^\circ\text{C}$, $1\ \text{atm}$). Calculate its molar mass and identify a common…Preview
  12. Example 23A gas is collected over water at $25^\circ\text{C}$; the total pressure of the moist gas is $750\ \text{mmHg}$. If the vapour pressure of wa…Preview
  13. Example 25An unknown gas $X$ diffuses twice as fast as sulfur dioxide ($\text{SO}_2$, $M = 64\ \text{g mol}^{-1}$) under identical conditions. Calcula…Preview
  14. Example 27Explain, with reference to the van der Waals equation, why real gases deviate from ideal behaviour at high pressure and low temperature. Wha…Preview
  15. Example 29Using the relation $T_c = \dfrac{8a}{27Rb}$, estimate the critical temperature of carbon dioxide given its van der Waals constants $a = 3.59…Preview
+Show 15 questions15 questions
  1. Q2Distinguish between amorphous and crystalline solids on the basis of (a) long-range order, (b) melting point, (c) isotropy/anisotropy, and (…Free
  2. Q4How many atoms are present per unit cell in a simple cubic (primitive) lattice? Show the corner-atom contribution that leads to your answer.Free
  3. Q6Calculate the number of atoms per unit cell in a face-centred cubic (fcc) lattice, accounting separately for the corner atoms and the face-c…Free
  4. Q8Derive the packing efficiency of a body-centred cubic (bcc) unit cell, in which atoms touch along the body diagonal.Preview
  5. Q10Copper crystallises in a face-centred cubic lattice with an edge length of $361\ \text{pm}$. Given that the molar mass of copper is $63.5\ \…Preview
  6. Q12An element of molar mass $50\ \text{g mol}^{-1}$ crystallises in a simple cubic lattice with a measured density of $5.0\ \text{g cm}^{-3}$.…Preview
  7. Q14Explain the Frenkel defect: the condition under which it arises, why it is common in compounds with a large difference between cationic and…Preview
  8. Q16State the postulates of the kinetic theory of gases, and briefly explain how they lead to the concept of an ideal gas.Preview
  9. Q18A gas occupies $2\ \text{L}$ at $300\ \text{K}$. At constant pressure, what volume will it occupy if the temperature is raised to $600\ \tex…Preview
  10. Q20Calculate the volume occupied by $2\ \text{mol}$ of an ideal gas at $300\ \text{K}$ and $1\ \text{atm}$ pressure. ($R = 0.0821\ \text{L atm…Preview
  11. Q22A closed vessel contains $2\ \text{mol}$ of $\text{N}_2$ and $3\ \text{mol}$ of $\text{O}_2$ at a total pressure of $5\ \text{atm}$. Using D…Preview
  12. Q24Using Graham's law of diffusion, compare the rate of diffusion of hydrogen gas ($M = 2\ \text{g mol}^{-1}$) with that of oxygen gas ($M = 32…Preview
  13. Q26Write the van der Waals equation for $n$ moles of a real gas, and explain the physical significance of the constants $a$ and $b$.Preview
  14. Q28Define critical temperature. Carbon dioxide ($T_c = 31.1^\circ\text{C}$) can be liquefied at room temperature simply by applying pressure, b…Preview
  15. Q30Ammonia has a critical temperature of $132.4^\circ\text{C}$, while hydrogen has a critical temperature of $-240^\circ\text{C}$. Which gas ca…Preview