Big doubt in expansion of stars

[ehabmozart]

To a close time, i settled my interpretation of expansion of the SUn... When the H=fuel in the core is over, the helium atoms is now having more density. Hence, the pressure increases on the outer H-fuel which ultimately will fuse faster and faster making a great deal of energy casuing expansion. Recently, i came to another conclusion which is as H is converted to He, g decrease due to the decrease of mass, and with the fusion of the outer Hydrogen, radiation force dominated over the decreasing G.. It is also written in many sites that the gravitational collapse cause a great amount of heat.. WHY?.. IN general , what is the cause of this expansion!? Thanks to whoever replies!

 

[mfb]

The decrease of mass due to fusion is of the order of 1% and negligible.

It is also written in many sites that the gravitational collapse cause a great amount of heat.. WHY?

If you compress a gas, it heats up. The required energy comes from gravitation, as mass moves towards the center (= in the direction of the gravitational force).

what is the cause of this expansion

Pressure from radiation, due to the increased rate of fusion in the core.

 

[ehabmozart]

My current doubt is what happens to the value of "g" as Hydrogen fuses to Helium.. Increases or Decreases?? And why?? ... Secondly u said it expands due to the increased fusion in the core.. I guess the expansion doesn't take place unless all H is fused which means that no fusion is happening in the core.. or what?? Thanks for helping

 

[Drakkith]

My current doubt is what happens to the value of "g" as Hydrogen fuses to Helium.. Increases or Decreases?? And why??

The mass of the helium is less than the total mass of the hydrogen before it fused. The missing mass is radiated away in the form of photons, neutrinos, and positrons that are emitted from the fusion process of the proton-proton chain. (Or other particles in other reactions)

... Secondly u said it expands due to the increased fusion in the core.. I guess the expansion doesn't take place unless all H is fused which means that no fusion is happening in the core.. or what?? Thanks for helping

The expansion is caused by the ignition of the hydrogen shell surrounding the core of inert helium. When the core stops burning it contracts and the hydrogen shell surrounding the core is compressed due to the increased gravity of the now denser core. Once the core undergoes helium flash and ignites, the core expands and the shell of fusing hydrogen is pushed away, reducing it's fusion rate and decreasing the energy production of the star, allowing it to shrink again. http://en.wikipedia.org/wiki/Stellar_evolution#Mid-sized_stars

 

[qraal]

My current doubt is what happens to the value of "g" as Hydrogen fuses to Helium.. Increases or Decreases?? And why??

The energy radiated away is a very tiny fraction of the total mass energy, so g of the whole star would decrease very slightly. That has very little to do with what happens in the core. As hydrogen becomes helium the pressure produced by the hot ions decreases for the same temperature - four hydrogens have to fuse to make one helium. At the same temperature that means the same mass of helium exerts 1/4 the pressure of the same mass of hydrogen thanks to the ideal gas law:

PV = N.k.T

...N being the number of particles. To push back against the gravitational pressure of the star's mass, the core has to shrink and increase in temperature to maintain equilibrium as hydrogen becomes helium. Fusion reactions are very sensitive to the temperature and increase significantly as the temperature rises - but expanding the core too much causes the fusion reactions to slow down. Thus the core is always in balance between contraction and expansion, but slowly contracts as the total number of particles decreases slowly over time, and to maintain the pressure it has to slowly warm up. By decreasing in size, but increasing in temperature eventually a very hot, dense core results which causes the outer layers to puff-up and make the star expand

... Secondly u said it expands due to the increased fusion in the core.. I guess the expansion doesn't take place unless all H is fused which means that no fusion is happening in the core.. or what?? Thanks for helping

Expansion does happen after the core is depleted in hydrogen, but a shell of fusing hydrogen forms around the depleted core, so there's still lots of fusion going on. Eventually the core shrinks enough to allow fusion of helium, but the temperature must rise from its present 15,000,000 K to about 100,000,000 K before helium fusion becomes sustainable. Helium fusion is even more temperature sensitive than hydrogen fusion and in fact the Sun might undergo a runaway helium reaction that causes the core to explode... but not very much. This is known as the Helium Flash and it expands the helium burning core into a new, cooler configuration that allows the Helium Main Sequence to commence, with the Sun burning steadily at about 55 times its current output.

Fusing helium makes less energy than fusing hydrogen so the Helium Main Sequence only lasts 100 million years, unlike the 10 billion of the Hydrogen Main Sequence. If a star is heavy enough when the Helium Main Sequence ends the Carbon Main Sequence can kick in, but stars like the Sun are too low mass for that.