Your talking about the theoretical star and not a subdwarf or main sequence star right? I'll answer this question according to how its worded.
A Blue Dwarf Star is a hypothetical star that scientists predict is the fate of a red dwarf with only a 0.25 solar mass. When the red dwarf burns much of its hydrogen fuel supply, it increases its radiation temperature, and because the color of a red dwarf this small is not opaque, it becomes blue. Not a lot can be found on this star, but it is hypothesized that the universe is currently not old enough to have formed any blue dwarfs.
Blue Supergiant stars [See Link] are extremely hot and bright, with surface temperatures of 20,000-50,000 K. They typically have 10 to 50 solar masses and can have radii up to about 25 solar radii. These rare stars are amongst the hottest and brightest in the known Universe. Because of their extreme masses they have relatively short lifespans and are mainly observed in young cosmic structures such as open clusters, the arms of spiral galaxies, and in irregular galaxies. They are rarely observed in spiral galaxy cores, elliptical galaxies, or globular clusters, most of which are believed to be composed of older stars. The best known example is Rigel [See Link], the brightest star in the constellation of Orion. Its mass is about 20 times that of the Sun, and its luminosity is more than 60,000 times greater. Despite their rarity and their short lives they are heavily represented among the stars visible to the naked eye; their inherent brightness trumps their scarcity.
Blue stars are massive, luminous, spectral type O. O stars have a surface temperature of 30,000°-50,000°C and masses of 20-100 solar masses. Their spectra are dominated by emission lines of singly ionized helium (these lines forming the so-called Pickering series). Most other lines are from at least doubly ionized elements, though H and He I lines are also present.
O stars are powerful ionizers of the surrounding interstellar medium, giving rise to large, bright emission nebulae and virtually defining the spiral of the Milky Way. Most O stars are very fast rotators. They have lifetimes of only 3 to 6 million years. Well-known examples include Alnitak, the left-most star in Orion's belt (Zeta Orionis) and Naos (Zeta Puppis), a "deck" star of Jason's ship, the Argo.
Rigel, Spica, VV Cephei B, Algol A are a few examples of B-type stars, which are blue in colour, very hot and bright if viewed from a set distance (high absolute magnitude).
The largest main sequence stars are blue.
Generally, yes. For stars on the main sequence, meaning that they fuse hydrogen at their cores, mass, size, color, brightness, and temperature are all closely related. More massive stars are larger, brighter and hotter than less massive ones. The least massive stars are red. As you go to more massive stars color changes to orange, then yellow, then white, and finally to blue for the most massive stars.
Generally, the more massive a star is, the more luminous they are. The most luminous stars appear blue.
All blue or white stars are more massive than our Sun
The massive stars turn into gas
Some massive stars will become neutron stars. When massive stars die they will either become neutron stars or black holes depending on how much mass is left behind.
No. Only the most massive main sequence stars are blue. Because blue stars are short-lived compared to other stars they are almost invariably young. Less massive stars live much longer, so only a fairly small portion of them are so young. For example a star like our sun can be expected to remain on the main sequence for about 10 billion years, if the rate of formation of such stars is constant then you can expect 1 in every 1,000 such stars to be in their first 10 million years on the main sequence.
If you mean "What is the hottest star". The hottest stars are the blue stars. A star appears blue once its surface temperature gets above 10,000 Kelvin, or so, a star will appear blue to our eyes. So the hottest stars in the Universe are going to be a blue star, and we know they're going to be massive.
Only very massive stars are blue. This is because they must burn hotter to resist the crush of gravity due to their large masses. They burn very hot, but also very fast so they have much shorter lifespans than less massive stars do. Therefore, blue stars are young because they become red supergiants and then go supernova fairly rapidly in star lifespan terms. They just do not last very long in the blue giant stage, so those stars, like Rigel in Orion, are young stars. If they were not, they would be red supergiants or neutron stars or black holes by now.
What I have learned about massive stars is...
Massive stars are most likely to explode faster than smaller stars.
Blue stars are massive and thus the amount of pressure in the core is greater than a smaller body. Because of this greater pressure, there is more heat, and this creates more fusion. Thus blue stars having more hydrogen, use up this fuel supply much quicker than smaller stars.