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8.2.2Astrophysics

The Life Cycle of Solar Mass Stars — Edexcel International GCSE Science Double Award 4SD0 - Physics Revision Notes & Topical Questions

10 min read 12 parts Lesson 7 of 13

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Curriculum Equation Key قوانين الرقم الهيدروجيني والاتزان الأيوني - pH & Acid-Base Equilibrium FormulasFast Exam Solution
pH = -log[H⁺] | pOH = -log[OH⁻] | pH + pOH = 14 | [H⁺][OH⁻] = 10⁻¹⁴
Word Equation & Conditions: الرقم الهيدروجيني = -لوغاريتم تركيز أيون الهيدروجين | pH + pOH = 14
Location & Specifications: الاتزان الأيوني، كيمياء 3 ثانوي، التحصيلي، و AP Chemistry.
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Section 1 of 12From gas cloud to protostar

Stars form from a nebula, a huge cloud of gas (mostly hydrogen) and dust.

Parts of the cloud that are slightly denser attract more matter through gravity and begin to collapse.
As the gas falls inwards, gravitational potential energy is transferred to thermal energy, so the centre heats up.
Protostar
When this clump of hot, dense gas begins to glow, it is a protostar.
A protostar is not yet fusing hydrogen.

If the protostar collects enough mass and the core temperature reaches about 107 K, hydrogen nuclei begin to fuse into helium and a star is born. (Objects with too little mass never reach this temperature and become brown dwarfs.)

Section 2 of 12Main sequence: the long stable stage

The star now enters the main sequence, in which it fuses hydrogen to helium in its core. The star is stable because two effects are balanced:

1gravity
gravity pulls the star’s material inward;
2Pressure
the pressure of the hot gas and radiation from fusion pushes outward.

If the core were to shrink, it would heat up, the fusion rate would rise and the extra pressure would push it back out; if it grew, the opposite happens.

1
This feedback keeps the size and output steady for a very long time.
2
The Sun is about halfway through its main sequence life of roughly 10 billion years,
  • and the life of a star depends on its mass: more massive stars burn their fuel faster,
  • so they live shorter lives.

Section 3 of 12Red giant

After billions of years the hydrogen in the core is used up.

Without fusion in the core, the outward pressure falls and gravity makes the core contract and heat up.
Hydrogen fusion continues in a shell around the core, which heats the outer layers so they expand and cool.
Red giant
The star becomes a red giant: much larger (a Sun-like star would expand beyond the orbit of Mercury and perhaps Venus), cooler at the surface (so it looks red) and much more luminous.
Later the core becomes hot enough (about 108 K) for helium to fuse into carbon and some oxygen, and the star remains a red giant for a time.

Section 4 of 12Planetary nebula and white dwarf

When the helium is used up, the core can not reach the temperature required to fuse carbon.

Planetary nebula
The outer layers are gently pushed away into space as an expanding shell of gas called a planetary nebula (the name has nothing to do with planets).
White dwarf
The hot, dense core left behind is a white dwarf: about the size of the Earth but with a mass of the order of the Sun, so extremely dense.
A teaspoon of its matter would weigh tonnes.
A white dwarf no longer undergoes fusion; it glows from stored thermal energy and slowly cools.

In theory, after a very long time (longer than the present age of the Universe) it will cool until it no longer emits light, becoming a black dwarf.

Section 5 of 12Exam reminders

In a question about the life cycle of the Sun, state the stages in order and add one fact for each: gravity pulls the gas together in the nebula; the protostar heats as it contracts; on the main sequence hydrogen is fused to helium and forces are balanced; the red giant has a large cool surface; the outer layers are ejected as a planetary nebula; the white dwarf is hot, dense and cooling.

Exam reminders
Do not say the Sun will explode, become a black hole or become a neutron star: its mass is too small.
Notice that the whole story depends on mass: an initial mass less than about 8 solar masses leads to a white dwarf.

Section 6 of 12Worked examples

  1. Put these stages in order for a star like the Sun: white dwarf, nebula, main sequence star, red giant, protostar.

  2. Explain why a main sequence star stays the same size for billions of years.

  3. The Sun has a main sequence lifetime of about 1.0 × 1010 years and is now about 4.6 × 109 years old. How many more years is it expected to stay on the main sequence?

Section 7 of 12Formation and Main Sequence

All stars begin in the same way, before their mass determines their later stages.

1
A nebula of gas and dust is pulled together by its own gravity, forming a protostar.
2
As the protostar contracts, its density and temperature increase until nuclear fusion starts in its core.
3
Once fusion begins, the object becomes a main sequence star, which remains stable for billions of years.
4
The Sun is currently a main sequence star.

Section 8 of 12Late Stages

Later stages depend on the fuel that remains in the core.

1
When the hydrogen in the core runs out, fusion there slows down and the core begins to contract and heat up.
2
Helium fusion begins in the core, and the outer layers expand while their surface cools, forming a red giant.
3
After helium fusion ends, the outer layers are shed into space and the remaining core collapses to form a white dwarf.
4
The white dwarf gradually cools and loses energy, and in theory it eventually becomes a black dwarf, although the Universe is not yet old enough for any to exist.

Section 9 of 12Why Each Stage Happens

Why Each Stage Happens
Hydrogen fuel
  • Hydrogen fuel Fusion of hydrogen into helium powers the main sequence, and the stage ends when the hydrogen in the core is used up.
Balance of forces
  • Balance of forces During the main sequence, outward pressure from fusion balances the inward pull of gravity, keeping the star stable.
Expansion
  • Expansion The outer layers expand as the core contracts and heats up, which makes the surface cooler and redder.
White dwarf
  • White dwarf Gravity compresses the core into a dense, hot object that has no fusion left to support it against gravity.

Section 10 of 12Exam Checklist & Tips

8.2.2 – Key Points for the Exam

  • Nebula A giant cloud of gas and dust from which stars form.
  • Protostar A hot ball of gas formed by gravitational contraction, before fusion begins in its core.
  • Main sequence star A star that is fusing hydrogen into helium in its core and is in stable equilibrium.
  • Red giant A large, cool and luminous star formed when a solar-mass star expands.
  • White dwarf A small, dense and hot remnant left after a solar-mass star has shed its outer layers.
  • Black dwarf
    • A cooled white dwarf that no longer emits significant light;
      • this stage is only theoretical so far.

Common Mistakes

  • Saying the star becomes a red giant because it cools down; it expands, and its surface cools as a result.
  • Describing a white dwarf as a star still undergoing fusion; fusion has stopped.
  • Giving the wrong end stages for a solar-mass star; the sequence is red giant then white dwarf, not supernova.
  • Calling a protostar a main sequence star before fusion has started in its core.

Section 11 of 12Key terms

TermMeaning
NebulaCloud of gas and dust from which stars form.
ProtostarCollapsing clump of gas that is heating but not yet fusing hydrogen.
Main sequenceStable stage of hydrogen fusion in the core.
Red giantExpanded, cooler, more luminous star after core hydrogen is used up.
Planetary nebulaShell of gas ejected by a dying Sun-like star.
White dwarfDense, Earth-sized remnant core of a Sun-like star.
Black dwarfTheoretical cold, dark end state of a white dwarf.

Section 12 of 12Exam technique

1
Thinking a star burns fuel like a fire. It fuses nuclei in nuclear reactions.
2
Saying the star is stable because gravity is absent. It is stable because gravity and outward pressure balance.
3
Forgetting the planetary nebula stage, or saying the Sun will explode as a supernova. It is not massive enough.
4
Describing a white dwarf as a star that still undergoes fusion. It no longer does.
5
Confusing a planetary nebula with a nebula that forms stars.

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