Question #280903

How long is a 6.8 solar mass star expected to live? (Give your answer in years, just the number, no need to include the unit.)


1
Expert's answer
2021-12-17T18:15:05-0500

The life expectancy of the star (assume it belongs to main sequence) is given as follows (see https://astronomy.swin.edu.au/cosmos/m/main+sequence+lifetime):


ttS(MMS)2.5t \approx t_S\left(\dfrac{M}{M_S} \right)^{-2.5}

where tS=1010yearst_S = 10^{10}years is the life expectancy of the Sun, MSM_S is the mass of the Sun. If M=6.8MSM = 6.8M_S is the mass of the star, obtain:


t1010(6.8MSMS)2.583×106yearst \approx10^{10}\cdot \left(\dfrac{6.8M_S}{M_S} \right)^{-2.5} \approx 83\times 10^6years

Answer. 83 million years.


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