Is a Core Temperature of 3.14*(10^7) K Feasible for a 50 Solar Mass Star?

[maggiemicmuc]

I'm wondering how realistic it is for a 50 solar mass star to have a core temperature of 3.14*(10^7) K. This isn't much greater than the core temperature of the sun, which is 1.5*(10^7) K. Have I made some huge miscalculation, or does this seem feasible?

Thanks.

 

[qraal]

I'm wondering how realistic it is for a 50 solar mass star to have a core temperature of 3.14*(10^7) K. This isn't much greater than the core temperature of the sun, which is 1.5*(10^7) K. Have I made some huge miscalculation, or does this seem feasible?

Thanks.

Core temperature only varies by an order of magnitude in Main Sequence stars - roughly 4 million to 40 million K, from the smallest M to the biggest O star. Remember the reaction rate of the CNO cycle goes up ~(T)¹⁷ so only a small rise has a huge effect on a star's output.