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There are millions of stars that fit that description. On the Main Sequence a star needs a spectrum of type A to be around 9000 degrees, and 1 to 20 times the luminosity of the Sun means an absolute magnitude in the range 1.2 to 4.7. For example Sirius.

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Q: What star has the surface temperature of approximatly 9000 k and luminosity 1 to 20 times greater then the suns luminosity?
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What star has a surface temperature 9000k and luminosity about 1 to 20 times greater than the sun?

Sirius


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Yes.


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What if the star has a bigger surface area but a smaller temperature how would that affect the luminosity?

As temperature decreases, luminosity will also decrease As radius increases (and with it surface area, but radius is a much easier to work with if you're trying to compare stars so we usually say radius) luminosity will also increase. If both are happening at the same time, it is possible that the luminosity of the star will remain more or less constant. Often one change will dominate the other, such as when a star goes through the red giant phase when the increase in radius has a far greater effect than the drop in temperature, and the star becomes more luminous.


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What type of star has a low surface temperature and a low luminosity?

Robert De Niro, the years of 2020+