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AQA Physics AS A Level Year 1 summary notes

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Module 1: Particles and radiation

Chapter 1: Matter and radiation
In the atom
Atomic structure
●​ Positively charged nucleus of protons and neutrons, electrons that surround nucleus
●​ Electrons negative while nucleus positive so held in atom by electrostatic force of attraction
●​ Most of mass in nucleus and 0.00001 times diameter of atom
●​ Isotopes: atom with same number of protons but different number of neutrons
Subparticle Relative mass Mass (kg) Relative charge Charge (C)

Proton 1 1.67 x 10-27 +1 +1.60 x 10-19

Neutron 1 1.67 x 10-27 0 0

Electron 0.0005 (0) 9.11 x 10-31 -1 -1.60 x 10-19
Specific charge
𝑒𝑥𝑎𝑐𝑡 𝑐ℎ𝑎𝑟𝑔𝑒
●​ 𝑠𝑝𝑒𝑐𝑖𝑓𝑖𝑐 𝑐ℎ𝑎𝑟𝑔𝑒 = 𝑒𝑥𝑎𝑐𝑡 𝑚𝑎𝑠𝑠
●​ Depending on question (nucleus/atom/ion), electrons’ charge may be included but not mass
Terms
●​ proton/atomic number: number of protons in atom
●​ nucleon/mass number: number of protons and neutrons in atom
●​ Nucleon: proton or neutron inside nucleus
●​ Nuclide: atoms with a distinct nucleus (number of neutrons and protons)

Stability of nuclei
Strong nuclear force
●​ Force overcoming electrostatic force of repulsion between protons in
nucleus and holds nucleus together
●​ Range: 3-4 femtometers (fm, 3-4 x 10-15m) - diameter of small nucleus
●​ Repulsive electrostatic force between two charged particles has infinite
range (decreases over range)
●​ Same effect between two protons as proton + neutron and two neutrons
●​ Is repulsive force below 0.5fm - prevents protons and neutrons being pushed into each other
Radioactive decay
●​ Alpha radiation:
234 230 4
○​ 2 protons and 2 neutrons - 92
𝑈 → 90
𝑇ℎ +2α (same as helium nuclei)
○​ Original nuclei becomes new element

●​ Beta- (β ) radiation:
○​ Neutron becomes proton, emits electron and antineutrino -
234 234 0
92
𝑈→ 93
𝑁𝑝 + −1
β + 𝑣
○​ Original nuclei (neutron-heavy) becomes new element
○​ Antiparticle with no charge (antineutrino 𝑣) emitted to conserve energy
+
●​ Beta+ (β ) radiation:
234 234 0
○​ Proton becomes neutron, emits positron and neutrino - 92
𝑈→ 91
𝑃𝑎 + +1
β + 𝑣
○​ Original nuclei (proton-heavy) becomes new element
○​ Particle with no charge (neutrino 𝑣) emitted to conserve energy

, ○​ Beta+-emitting isotopes don’t occur naturally - manufactured by placing stable isotope
in path of proton beam - some nuclei absorb protons to be unstable beta+-emitters
●​ Gamma radiation:
234 234
○​ EM radiation emitted by unstable nucleus - 92
𝑈 + 92
𝑈 + γ
○​ Emitted by nucleus with too much energy following alpha/beta radiation
NZ graph
●​ Shows how unstable nuclei will decay to become stable nuclei




●​

Photons
EM waves
●​ In vacuum, all EM travel at 3 x 108m s-1 (speed of light)
●​ 𝑤𝑎𝑣𝑒𝑠𝑝𝑒𝑒𝑑 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 × 𝑤𝑎𝑣𝑒𝑙𝑒𝑛𝑔𝑡ℎ (𝑣 = 𝑓λ)
●​ Light wavelength typically expressed in nanometres (1nm = 10-9m)
●​ EM waves have electric and magnetic wave - travel perpendicular to each other and direction
travelling in, in phase with each other (have peak and trough at same time)
Photons
●​ EM waves emitted by charged particle when it loses energy when:
○​ Fast-moving electron is stopped (eg. x-ray tube), slows down or changes direction
○​ Electron in a shell of an atom moves to lower energy shell (closer to nucleus)
●​ EM waves released as short bursts of waves that leave source in different directions
●​ Each burst is packet of EM waves (also called photon)
●​ Photon theory established by Einstein to explain photoelectric effect - emission of electrons
from metal surface when light is directed at surface
𝑃𝑙𝑎𝑛𝑐𝑘 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡×𝑠𝑝𝑒𝑒𝑑 𝑜𝑓 𝑙𝑖𝑔ℎ𝑡 ℎ𝑐
●​ 𝑝ℎ𝑜𝑡𝑜𝑛 𝑒𝑛𝑒𝑟𝑔𝑦 = 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 × 𝑃𝑙𝑎𝑛𝑐𝑘 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡 = 𝑤𝑎𝑣𝑒𝑙𝑒𝑛𝑔𝑡ℎ
(𝐸 = 𝑓ℎ = λ
)
-34
●​ Planck constant: 6.63 x 10 Js
Laser power
●​ Laser beam consists of photons of same frequency
●​ Power of laser beam is energy transferred per second by photons
●​ 𝑝𝑜𝑤𝑒𝑟 𝑜𝑓 𝑏𝑒𝑎𝑚 = 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑝ℎ𝑜𝑡𝑜𝑛𝑠 𝑝𝑎𝑠𝑠𝑖𝑛𝑔/𝑠𝑒𝑐𝑜𝑛𝑑 × 𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 × 𝑃𝑙𝑎𝑛𝑐𝑘 𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡 (𝑃 = 𝑛ℎ𝑓)

Particles and antiparticles
Antimatter
●​ When antimatter and matter particles (make up everything in universe) meet, they destroy
each other and radiation is released
●​ Used in PET scanner - P is positron (antiparticle of electron)
○​ When used for brain scan, positron-emitting isotope administered to patient and some
reaches brain via blood system
○​ Positron travels < few mm before it meets electron and they annihilate each other
○​ Two gamma photons produced sensed by detectors to build up image of where
positron-emitting nuclei are in brain
●​ Einstein said mass of particle when it is stationary (rest mass 𝑚0) corresponds to rest energy
2
(𝑚𝑜𝑐 ) locked up as mass - rest energy must be included in conservation of energy
Annihilation
●​ Dirac predicted existence of antimatter particles (antiparticles) that would unlock rest energy
whenever particle and corresponding antiparticle meet and annihilate each other
●​ Dirac's theory predicted for a particle there is corresponding antiparticle that:

, ●​ Annihilates particle and itself if met, converting total mass into 2 photons
●​ Has exactly same rest mass and opposite charge to particle
●​ Minimum energy of each photon ℎ𝑓𝑚𝑖𝑛 given by equating energy of 2 photons 2ℎ𝑓𝑚𝑖𝑛 to rest
energy of particle + antiparticle (ℎ𝑓𝑚𝑖𝑛 = 𝐸0 where 𝐸0 is rest energy of particle)
●​ 𝑚𝑖𝑛𝑖𝑚𝑢𝑚 𝑒𝑛𝑒𝑟𝑔𝑦 𝑜𝑓 𝑒𝑎𝑐ℎ 𝑝ℎ𝑜𝑡𝑜𝑛 𝑝𝑟𝑜𝑑𝑢𝑐𝑒𝑑 = 𝑟𝑒𝑠𝑡 𝑒𝑛𝑒𝑟𝑔𝑦 𝑜𝑓 𝑝𝑎𝑟𝑡𝑖𝑐𝑙𝑒 (ℎ𝑓𝑚𝑖𝑛 = 𝐸0)
Pair production
●​ Dirac also predicted opposite process of pair production:
●​ Photon with sufficient energy passing near nucleus or electron can suddenly
change into particle-antiparticle pair, which would then separate from each
other
●​ In pair production, photon creates particle and corresponding antiparticle and vanishes in
process
●​ For particle and antiparticle (each of rest energy 𝐸0) we can calculate minimum energy and
minimum frequency photon must have to produce particle-antiparticle pair
●​ 𝑚𝑖𝑛𝑖𝑚𝑢𝑚 𝑒𝑛𝑒𝑟𝑔𝑦 𝑜𝑓 𝑝ℎ𝑜𝑡𝑜𝑛 𝑛𝑒𝑒𝑑𝑒𝑑 = 𝑟𝑒𝑠𝑡 𝑒𝑛𝑒𝑟𝑔𝑦 𝑜𝑓 𝑝𝑎𝑟𝑡𝑖𝑐𝑙𝑒 𝑎𝑛𝑡𝑖𝑝𝑎𝑟𝑡𝑖𝑐𝑙𝑒 𝑝𝑎𝑖𝑟 (ℎ𝑓𝑚𝑖𝑛 = 2𝐸0)
●​ Example: electron has rest energy of 0.511MeV, therefore for pair production of electron and
positron from photon: 2 x 0.511 = 1.022MeV = 1.64 x 10-13J (minimum energy of photon)
Particles, antiparticles
●​ Energy of particle/antiparticle often expressed in millions of electron volts (MeV)
●​ 1 MeV = 1.60 x 10-13J
●​ 1 electron volt: energy transferred when electron is moved through voltage of 1V
●​ Given rest mass of a particle/antiparticle, its rest energy in MeV can be calculated by
2
𝐸 = 𝑚𝑐

Particle interactions
Electromagnetic force
●​ When unequal force acts on object, momentum is changed
●​ 𝑚𝑜𝑚𝑒𝑛𝑡𝑢𝑚 = 𝑚𝑎𝑠𝑠 × 𝑣𝑒𝑙𝑜𝑐𝑖𝑡𝑦 (𝑝 = 𝑚𝑣)
●​ When two objects interact, they exert equal opposite forces on each other -
momentum transferred between objects by forces if no other forces act on them
eg. if 2 protons approach each other they repel and move away from each other
●​ Feynman said EM force between 2 charged objects is due to exchange of virtual
photons - virtual as can’t be detected otherwise force is stopped from occurring
Interaction model of above
●​ Analogy 1 (same charged particles): ball thrown from one person (who
recoils), momentum transferred to receiver who recoils, therefore both repel
each other - possible
●​ Analogy 2 (oppositely charged particles): boomerang thrown from one person
(who attracts) away from other person and swings round to other person
(who attracts) - not possible
Weak nuclear force

●​ Strong nuclear force holds neutrons and protons in nucleus together but doesn’t cause β or
+
β decay - can’t be EM force as neutron is uncharged
●​ Different force in nucleus causing decay - must be weaker than strong nuclear force to not to
affect stable nuclei - called “weak nuclear force”
●​ In both decay, new particle and antiparticle created but not particle-antiparticle pair
●​ Neutrinos, antineutrinos hardly interact with other particles but sometimes happen:

○​ Neutrino interacts with neutron & changes it to proton - β (electron)
emitted

, +
○​ Antineutrino interacts with proton & changes it to neutron - β (positron) emitted
○​ Both are opposite of
●​ Interactions are due to exchange of particles (called W bosons) - unlike photons, these
exchange particles:
○​ Have a non-zero rest mass
○​ Have < 0.001fm range
○​ Positively charged (w+ boson) or negatively charged (w- boson) to conserve charge
− +
●​ Weak interaction only occurs for β , β , electron-capture and electron-proton collisions
W boson in beta decay

●​ W-boson meets neutrino from neutron: changes into electron (β ) and antineutrino
+
●​ W-boson meets antineutrino from proton: changes into positron (β ) and neutrino
●​ If no neutrino/antineutrino present:

○​ W- boson decays into β particle and antineutrino
+
○​ W+ boson decays into β particle and neutrino
●​ Charge is conserved
Electron capture/proton-electron collision
●​ Proton in proton-rich nucleus can turn into neutron due to interaction with inner
shell electron outside nucleus (electron capture) using W+ boson
●​ Same change can happen when proton and electron collide at very high speed -
for electron with sufficient energy, overall change could happen as W- exchange
●​ W+ exchange: proton to electron, electron changes to neutrino
●​ W- exchange: electron to proton, electron changes to neutrino
Force carriers
●​ Virtual (photon): EM force
●​ W/Z boson: weak nuclear force
●​ Gluon or pion: strong nuclear force
●​ Graviton: gravitational force, not yet observed
●​ Higgs: mass
Determining force in reaction
●​ Strong: typically between hadrons
●​ Weak: typically between leptons and decay (strangeness not always conserved), mention
leptons and hadrons in question if both are present
●​ Gravity: typically everything
●​ EM: only typically between charged particles



Chapter 2: Quarks and leptons
Particle zoo
Cosmic rays
●​ High-energy particles that travel through space from stars
●​ When they enter Earth’s atmosphere, they create photons, short-lived particles & antiparticles
●​ Most cosmic rays are fast-moving protons or small nuclei - collide with gas atoms in
atmosphere, creating showers of particles and antiparticles detected at ground
●​ By cloud chambers & other detectors, new types of short-lived particles & antiparticles found:
○​ Muon (μ): heavy electron (negative charge), 200x rest mass as rest mass of electron
○​ Pion/ℼ meson: can be negative/neutral/positive
○​ Kaon/K meson: can be negative/neutral/positive
○​ Proton > kaon > pion > muon > electron

Índice general

  1. 01 Module 1: Particles and radiation 1
    1. Chapter 1: Matter and radiation 1
  2. 02 In the atom 1
    1. Atomic structure 1
    2. Specific charge 1
    3. Terms 1
  3. 03 Stability of nuclei 1
    1. Strong nuclear force 1
    2. Radioactive decay 1
    3. NZ graph 2
  4. 04 Photons 2
    1. EM waves 2
    2. Photons 2
  5. 05 Particles and antiparticles 2
    1. Antimatter 2
    2. Annihilation 2
    3. Pair production 3
    4. Particles, antiparticles 3
  6. 06 Particle interactions 3
    1. Electromagnetic force 3
    2. Interaction model of above 3
    3. Weak nuclear force 3
    4. W boson in beta decay 4
    5. Electron capture/proton-electron collision 4
    6. Force carriers 4
    7. Determining force in reaction 4
    8. Chapter 2: Quarks and leptons 4
  7. 07 Particle zoo 4
    1. Cosmic rays 4
    2. Strange particles 5
  8. 08 Particle sorting 5
    1. Classifying particles and antiparticles 5
    2. Large Hadron Collider 5
    3. Baryons and mesons 6
  9. 09 Leptons 6
    1. Lepton collisions 6
    2. Neutrino types 6
    3. Lepton rules 6
  10. 10 Quarks and antiquarks 7
    1. Strangeness 7
    2. Quark model 7
    3. Quark combinations 7
    4. Quarks and beta decay 7
  11. 11 Conservation rules 7
    1. Particles and properties 7
    2. Baryon and meson conservation 8
    3. Conservation 8
    4. Chapter 3: Quantum phenomena 8
  12. 12 Photoelectric effect 8
    1. Puzzling problems 8
    2. Einstein’s explanation of effect 8
    3. Stopping potential 9
  13. 13 More photoelectricity 9
    1. Quantum world 9
    2. Conduction electrons 9
    3. Vacuum photocell 10
  14. 14 Collisions of electrons with atoms 10
    1. Ionisation 10
    2. Electron volt 10
    3. Excitation by collision 10
  15. 15 Energy levels in atoms 11
    1. Electrons in atoms 11
    2. De-excitation 11
    3. Excitation using photons 11
    4. Fluorescence 11
  16. 16 Energy levels and spectra 12
    1. Colourful spectrum 12
  17. 17 Wave-particle duality 12
    1. Light’s dual nature 12
    2. Matter waves 12
    3. Evidence for hypothesis 12
  18. 18 Sidenote 13
    1. Module 2: Waves and optics 14
    2. Chapter 4: Waves 14
  19. 19 Waves and vibrations 14
    1. Types of waves 14
    2. Longitudinal and transverse 14
    3. Polarisation 14
  20. 20 Measuring waves 14
    1. Key terms 14
    2. Wave speed 15
    3. Phase difference 15
  21. 21 Wave properties 15
    1. Ripple tank 15
    2. Wave changes 15
    3. Dish design 15
    4. Principle of superposition 15
  22. 22 Stationary and progressive waves 16
    1. Formation of stationary waves 16
    2. Explanation of stationary waves 16
    3. More examples of stationary waves 17
    4. Tests using microwaves 17
    5. Stationary waves on vibrating string 17
    6. Chapter 5: Optics 18
  23. 23 Refraction of light 18
    1. Refraction 18
    2. Refraction of light by glass 18
    3. Refraction process through glass 18
    4. Refraction process through prism 18
    5. Explaining refraction 18
    6. Refraction between 2 substances 19
    7. White light spectrum 19
  24. 24 Total internal reflection 19
    1. Investigation 19
    2. Why diamonds sparkle in white light 19
    3. Optical fibres 19
    4. Medical endoscope 20
  25. 25 Double slit interference 20
    1. Young’s double slit experiment 20
    2. Theory of equation 21
    3. Coherence 21
    4. Colour and fringe separation 21
    5. Light sources 21
    6. White light fringes 22
  26. 26 Diffraction 22
    1. Observation 22
    2. Diffraction of light by single slit 22
    3. Single slit diffraction and Young’s fringes 22
  27. 27 Diffraction grating 22
    1. Testing diffraction grating 22
    2. Diffraction grating equation 22
    3. Types of spectra 23
    4. Module 3: Mechanics and materials 24
    5. Chapter 6: Forces in equilibrium 24
  28. 28 Vectors and scalars 24
    1. Representing vectors 24
    2. Calculating vectors 24
    3. Resolving into perpendicular components 24
  29. 29 Balanced forces 24
    1. Equilibrium of a point object 24
    2. Testing 3 forces in equilibrium 24
  30. 30 Principle of moments 24
    1. Turning effects 24
    2. Principle of moments 24
    3. Centre of mass 25
    4. Calculating weight of a metre rule 25
    5. Single-support problems 25
    6. Two-support problems 25
    7. Couples 25
  31. 31 Stability 25
    1. Equilibrium 25
    2. Tilting and toppling 26
    3. On a slope 26
  32. 32 Equilibrium rules 26
    1. Free body force diagrams 26
    2. Triangle of forces 26
    3. Conditions for equilibrium of a body 26
    4. Chapter 7: On the move 26
  33. 33 Speed and velocity 26
    1. Speed 26
    2. Acceleration 27
    3. Graphs 27
    4. Constant acceleration equations 27
    5. Deriving SUVAT 27
  34. 34 Free fall 27
    1. Experiments 27
    2. Acceleration due to gravity 28
  35. 35 Projectile motion 28
    1. Projectile 28
    2. Vertical projection 28
    3. Horizontal projection 28
    4. Projectile path 28
    5. Projectile-like motion 28
    6. Effects of air resistance 29
    7. Imagination at work 29
    8. Chapter 8: Newton’s laws of motion 29
  36. 36 Force and acceleration 29
    1. Newton’s laws of motion 29
    2. Investigating force and motion 29
    3. Weight 29
  37. 37 Using F = ma 30
    1. Two opposing forces 30
    2. Towing a trailer 30
    3. Rocket launch 30
    4. Lifts 30
    5. Pulley 30
    6. Sliding down a slope 30
  38. 38 Terminal speed 30
    1. Drag force 30
    2. Motion of object falling in liquid 31
    3. Motion of a powered vehicle 31
  39. 39 On the road 31
    1. Stopping distances 31
    2. Vehicle safety 31
    3. Contact time and impact time 32
    4. Chapter 9: Force and momentum 32
  40. 40 Momentum and impulse 32
    1. Momentum 32
    2. Newton’s laws of motion 32
    3. Force-time graphs 32
  41. 41 Impact forces 32
    1. Force-time graphs for impacts 32
    2. Rebound impacts 32
  42. 42 Conservation of momentum 32
    1. Newton’s third law 32
    2. Testing conservation of momentum 33
    3. Collisions 33
    4. Explosions 33
    5. Testing explosions 33
    6. Chapter 10: Work, energy and power 33
  43. 43 Work done 33
    1. Energy rules 33
    2. Forces 33
  44. 44 Energy 34
    1. Springs 34
    2. Kinetic energy 34
    3. Potential energy 34
    4. Power 34
    5. ●​Rate of transfer of energy 34
    6. Efficiency 34
    7. Chapter 11: Materials 34
  45. 45 Density 34
    1. Measuring density 34
    2. Density of alloys 35
  46. 46 Springs 35
    1. Hooke’s Law 35
    2. Springs in parallel 35
    3. Strings in series 35
    4. Energy stored 35
  47. 47 Deformation of solids 35
    1. Force and solids 35
    2. Tensile stress and strain 35
    3. Stress-strain curves 36
    4. Loading and unloading 36
    5. Module 4: Electricity 37
    6. Chapter 12: Electric current 37
  48. 48 Current and charge 37
    1. Electrical conduction 37
    2. Testing conduction 37
    3. Current direction 37
    4. Types of materials 37
  49. 49 Potential difference, power 37
    1. Energy and voltage 37
    2. Power 37
  50. 50 Resistance 37
    1. Laws 37
    2. Measuring resistance 38
    3. Resistivity 38
    4. Superconductivity 38
  51. 51 Components and characteristics 38
    1. Circuit diagrams 38
    2. Investigating characteristics 39
    3. Diode 39
    4. Resistance and temperature 39
    5. Chapter 13: DC circuits 39
  52. 52 Circuit rules 39
    1. Current rules 39
    2. Voltage rules 39
  53. 53 Resistance 40
    1. Resistors in series 40
    2. Resistors in parallel 40
    3. Resistance heating 40
  54. 54 Electromotive force and internal resistance 40
    1. Internal resistance 40
    2. Power 40
    3. Measuring internal resistance 41
  55. 55 Circuit calculations 41
    1. Single cell, 1+ resistors 41
    2. Cells in series 41
    3. Cells in parallel 41
    4. Diodes 41
  56. 56 Potential divider 41
    1. Theory 41
    2. Supplying fixed voltage 42
    3. Supplying variable voltage 42
    4. Sensor circuits 42
    5. Module 5: AS Physics skills 43
    6. Chapter 14: Practical work in Physics 43
  57. 57 Planning an experiment 43
  58. 58 Errors 43
    1. Results 43
    2. Errors of measurement 43
    3. Uncertainty 43
    4. Inaccuracy 43
    5. Graphs 43
  59. 59 Measuring instruments 44
    1. Rulers 44
    2. Micrometers 44
    3. Verniers 44
    4. Timers 44
    5. Balances 44
  60. 60 Evaluating results 44
    1. Chapter 15: Assessment outline 44
  61. 61 Direct assessment 44
    1. Abilities to demonstrate 44
    2. Before practical 45
    3. During practical 45
  62. 62 Indirect assessment 45
    1. Independent thinking 45
    2. Use of scientific methods and practices 45
    3. Numeracy 45
    4. Instruments and equipment 45
    5. Chapter 16: More on maths skills 45
  63. 63 Scientific units 45
  64. 64 Trigonometry 45
  65. 65 Important symbols 46
    1. Module 6.1: Further Mechanics 47
    2. Chapter 17: Motion in a circle 47
  66. 66 Uniform circular motion 47
  67. 67 Centripetal acceleration 47
    1. Acceleration 47
    2. Centripetal force 47
  68. 68 On the road 47
    1. On a hill 47
    2. On a roundabout 47
    3. On a banked track 47
  69. 69 At the fairground 47
    1. Dip in a rollercoaster 47
    2. Long swing 48
    3. Large wheel 48
    4. Chapter 18: Simple harmonic motion 48
  70. 70 Oscillations 48
    1. Measuring oscillations 48
    2. Phase difference 48
  71. 71 Principles of SHM 48
    1. Oscillating object 48
    2. Simple harmonic motion 48
    3. Mass-spring system oscillation 1 49
    4. Mass-spring system oscillation 2 49
    5. Pendulum 49
  72. 72 Energy and SHM 49
    1. Free oscillations 49
    2. Damped oscillations 49
  73. 73 Forced vibrations and resonance 50
    1. Forced vibrations 50
    2. Resonance 50
    3. Barton’s pendulums 50
    4. Bridge oscillations 50

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Editorial: Desconocido ISBN: 9780198351870 Edición: 2

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Chapter 1 to 18
Subido en
10 de julio de 2026
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