Why mass changes the outcome
Main sequence star
A main sequence star is a star in the long, stable stage of its life in which the outward pressure from hydrogen fusion balances the inward pull of gravity.
Nuclear fusion
Nuclear fusion is the joining of small nuclei to create a larger nucleus, with a loss of mass that is accompanied by a release of energy.
- A star with far more mass than the Sun has a far stronger inward pull of gravity acting on its core.
- Balancing that stronger pull needs a much greater outward push, which the star can only supply by running its core at a higher temperature and pressure.
- A hotter core fuses hydrogen far more rapidly, so a massive star gets through its fuel much faster even though it started with more of it.
- The main sequence stage of a massive star therefore lasts a few million years rather than the billions of years a star like the Sun manages.
- The high core temperature also lets fusion continue on to heavier elements that a smaller star can never reach.
- Mass is the single quantity that decides the whole later life of a star, which is why two stars formed in the same nebula can end so differently.
Life of a massive star
Red supergiant
A red supergiant is the extremely large, cool star formed when a star of much greater mass than the Sun expands after hydrogen fusion in its core stops.
- A massive star begins in exactly the same way as any other, with gravity pulling a nebula together until the core is hot enough for fusion.
- It then spends a short main sequence stage as a very hot, very bright star, burning blue or blue white rather than yellow.
- When the core hydrogen is gone the outward push drops, the core contracts under gravity, and the outer layers swell into a red supergiant.
- This is the same process that makes a red giant, but on a far larger scale, so a red supergiant can be hundreds of times wider than the Sun.
- Inside it the contracting core keeps reaching new temperatures, so helium fuses into carbon and then heavier nuclei form in a series of stages.
- Fusion stops once the core is made of iron, because fusing iron nuclei takes energy in rather than giving energy out.
- With no energy released the outward push collapses, and gravity is left completely unopposed.
The supernova explosion
Supernova
A supernova is the sudden explosion of a red supergiant that scatters its outer layers into space.
- The unsupported core collapses in a fraction of a second, and the outer layers fall inwards behind it.
- The infalling material rebounds off the collapsed core and is blasted back out in an enormous explosion called a supernova.
- For a few weeks a single supernova can shine more brightly than all of the other stars in its galaxy put together.
- The explosion supplies enough energy to build nuclei heavier than iron, including gold, lead and uranium.
- All of those elements are thrown out into space, where they enrich the gas and dust that later collapses into new nebulae.
- Every atom heavier than helium on Earth was made inside an earlier star or in a supernova, which is why the Solar System contains rocky planets at all.
Neutron star or black hole
Neutron star
A neutron star is the extremely small and dense remnant left when the core of a red supergiant collapses during a supernova.
Black hole
A black hole is a remnant of a very massive star whose gravitational field is so strong that not even light can escape from it.
- What is left behind after the supernova depends on how much mass the collapsed core still holds.
- A core of moderate mass is squeezed until its material is packed as tightly as the inside of a nucleus, forming a neutron star.
- A neutron star packs more mass than the Sun into a ball only about 20 km20\ \text{km}20 km across, so a teaspoon of it would have a mass of billions of tonnes.
- If the remaining core is more massive still, nothing can resist gravity and the collapse continues without limit.
- The result is a black hole, where the gravitational field is so strong that not even light travels fast enough to escape.
- A black hole emits no light of its own, so it is detected by its gravitational pull on nearby stars and gas rather than by being seen directly.
- The full order for a massive star is therefore nebula, main sequence star, red supergiant, supernova, and then either a neutron star or a black hole.
Comparing two main sequence lives
- The Sun holds enough hydrogen for a main sequence stage of about 101010 billion years.
- A star of 202020 times that mass starts with 202020 times as much hydrogen, so it might be expected to last far longer.
- Its far stronger gravity forces a much hotter core, and fusion in that core runs many thousands of times faster.
- The rate of use outweighs the extra supply, so its main sequence stage lasts only about 101010 million years.
- That is roughly one thousandth of the life of the Sun, reached with twenty times the fuel.
Density of a neutron star
- A neutron star has a mass of about 3.0×1030 kg3.0 \times 10^{30}\ \text{kg}3.0×1030 kg and a radius of about 1.0×104 m1.0 \times 10^{4}\ \text{m}1.0×104 m.
- Its volume is 43πr3=43π(1.0×104)3=4.2×1012 m3\dfrac{4}{3}\pi r^{3} = \dfrac{4}{3}\pi (1.0 \times 10^{4})^{3} = 4.2 \times 10^{12}\ \text{m}^{3}34πr3=34π(1.0×104)3=4.2×1012 m3.
- Using ρ=mV\rho = \dfrac{m}{V}ρ=Vm gives ρ=3.0×10304.2×1012\rho = \dfrac{3.0 \times 10^{30}}{4.2 \times 10^{12}}ρ=4.2×10123.0×1030.
- The density is about 7×1017 kg/m37 \times 10^{17}\ \text{kg/m}^{3}7×1017 kg/m3.
- Water has a density of 1000 kg/m31000\ \text{kg/m}^{3}1000 kg/m3, so this material is denser than water by a factor of about 101410^{14}1014.
Getting the massive star sequence right
- Start any comparison question by stating the mass of the star, because the whole answer follows from whether it is similar to the Sun or much larger.
- Use supergiant rather than giant for a massive star, since the two words mark two different routes and only one earns the mark.
- Give both possible endings when asked what a supernova leaves behind, and say that the more massive core becomes the black hole.
- Explain the short life of a massive star through its faster rate of fusion, not through it having less fuel.
- Mention the scattering of heavy elements when a question asks why a supernova matters for the formation of planets.
- Do not send a star like the Sun through a supernova, because it lacks the mass to reach that stage.
- Do not write that a massive star lives longer because it has more fuel, since it uses that fuel far more quickly.
- Do not put a white dwarf at the end of a massive star sequence, because that remnant belongs to a star of similar mass to the Sun.
- Do not describe a black hole as a hole in space, since it is an extremely concentrated mass with a very strong gravitational field.
- List the stages in the life of a star much more massive than the Sun, in order.
- Explain why a massive star spends less time on the main sequence than the Sun does.
- State why fusion stops once the core of a massive star is made of iron.
- Describe what happens during a supernova and name one thing it produces.
- State what decides whether a supernova leaves a neutron star or a black hole.