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4. States of Matter

Written by: Adhulan R
Formatted by: Rithanya S

4.1 The gaseous state

Kinetic theory of gases

  • Idea that molecules in a gas are in constant movement is called the kinetic theory of gases
  • This theory makes certain assumptions:
    • Gas molecules move rapidly and randomly
    • Gas molecules are far apart, so their volume is negligible (Zero particle volume)
    • No intermolecular forces exist between gas molecules
    • Collisions are elastic, with no loss of kinetic energy
    • Gas temperature is proportional to the average kinetic energy of molecules
  • A theoretical gas that fit all these assumptions is called an ideal gas
  • Pressure in gas → Collision of gas particles with the walls of the container

Ideal gas equation

  • The volume occupied by gas depends on:
    • Its pressure (Pa)
    • Its temperature (K)
  • An ideal gas will have a volume that is exactly proportional to temperature and inversely proportional to pressure
  • Gases don’t obey the ideal gas laws completely (especially in low temp. and high pressure)
    • There is not zero attraction b/w molecules
    • We cannot ignore the volume of molecules even if small
  • The general gas equation → pV = nRT
    • p → pressure (Pa)
    • V → volume (m3) [1 m3 = 1000 dm3]
    • n → number of moles of gas (mol)
    • R → ideal gas constant = 8.31 J K-1 mol-1
    • T → temperature (K)

Measuring relative molecular mass (Mr)

  • The number of moles of a substance is its mass / Mr
  • Hence by finding the number of moles and mass of a substance using the ideal gas equation – we can find Mr
    • Though measuring the mass of air is difficult, this can give approximate yet reasonable results
    • Method can also be used for volatile liquids – involves syringe oven

5.2 Bonding and structure

  • The state of a structure in room and temp. and pressure depends on its structure and bonding.
  • Four type of structures:
    • Simple molecular or simple atomic (Eg: Carbon dioxide, argon)
      • Noble gases, despite existing as isolated atoms, are considered to have a simple molecular structure since they share similar physical properties with simple molecular gases.
    • Giant ionic (Eg: Sodium Chloride)
    • Giant metallic (Eg: Iron, Copper)
    • Giant molecular (Eg: Silicon(IV) Oxide)
  • Crystal lattice → Regularly repeating arrangements of ions, atoms, or molecules
  • Many ionic, metallic, and covalent compounds are crystalline

Giant ionic lattices

  • 3-dimensional arrangement of alternating +ve and -ve ions
  • Type of lattice formed depends on the relative size of the ions present
    • Sodium chloride and magnesium oxide are cubic
Fig 2.1 Sodium chloride; Magnesium Oxide also have the same structure.
  • Properties:
    • Hard → Strong electrostatic forces
    • Brittle → When struck in a specific direction, layers of ions may shift, aligning ions of the same charge. This causes electrostatic repulsion, leading to splitting along cleavage planes.
    • High boiling point and melting point → Electrostatic forces acting in all directions – strongly bonds all ions together
    • Many are soluble in water – as they can form ion-dipole bonds
    • Conduct electricity when molten or in aqueous form

Giant metallic lattice

  • Lattice contain ions surrounded by sea of electrons
  • Ions are often packed in hexagonal layers or cubic arrangements
Fig 2.2 Lattice of copper ions arranged in layers
    • When a force is applied → layers can slide over each other
      • When layers slide, new metallic bonds are easily re-formed b/w ions in and delocalized electrons
      • The delocalized electrons continue to hold ions together
    • Properties:
      • Malleable (layers can slide)
      • Ductile (layers can slide)
      • High tensile strength and hardness → strong metallic bond b/w electrons and ions

Simple molecular lattice

Fig 2.3 Iodine molecules arranged in a lattice structure
  • Ice also forms a crystalline lattice → due to hydrogen bonding
  • Intermolecular forces between iodine molecules are weak, while covalent bonds within iodine molecules are strong → low melting point

Buckminsterfullerene (C60)

  • Fullerene structure based on rings of carbon atoms, just like in graphite
  • Fullerenes are allotropes of carbon in the form of hollow spheres or tubes
  • First fullerene discovered → Buckminsterfullerene, C60
  • The carbon atoms are arranged in the corners of 20 hexagons and 20 pentagons
Fig 2.4 Shape of buckminsterfullerene - similar to football
  • Some electrons are delocalised (but lesser than graphite)
  • Properties:
    • Relatively low sublimation point → Weak intermolecular forces
    • Relatively soft → Weak intermolecular forces
    • Poor conductor of electricity relative to graphite → extent of electron delocalization is lower
    • Slightly soluble
    • More reactive than graphite and diamond

Giant molecular lattice

  • Have a network of covalent bonds → high m.p. and b.p. 
  • Allotropes: different crystalline or molecular forms of the same element
    • Diamond, graphite, buckminsterfullerene → allotropes of carbon

Graphite

  • Atoms arranged in planar layers
  • Within each layer – arranged in hexagons
Fig 2.5 Structure of graphite
  • Each carbon atom joined with 3 other carbon atoms
  • Fourth electron occupies p-orbital
    • This p-orbital overlap sideways (b/w different planar layers)
    • Clouds of delocalized electrons above and below the carbon rings
    • These clouds join to form extended delocalised rings of electrons
  • Layers held together by weak instantaneous dipole- induced dipole forces
  • Properties:
    • High m.p. and b.p. → Strong covalent bonds
    • Softness → Easily scratched – bonds b/w layers are weak – layers can slide over each other (this leads to flakiness)
    • Good conductor → Large clouds of delocalized electrons

Diamond

  • Each carbon bonded with four other carbon
Fig 2.6 Tetrahedral arrangement
  • Properties:
    • High m.p. and b.p. → Strong covalent bonds
    • Hardness → Difficult to break the 3-dimensional network of strong covalent bonds
    • Does not conduct electricity → All 4 valence electrons of carbon are involved bonding

Silicon(IV) Oxide

  • There are several forms of Silicon(IV) Oxide
  • The SiO2 found in mineral quartz – similar to diamond (similar properties too)
  • Each Silicon atom is bonded to 4 other oxygen atoms
Fig 2.7 Structure of Silicondioxide
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