What is the life expectancy of a 16-solar mass star?

Question

4260 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-06T14:32:12

$10$ $10$ million years

Life expectancy of sun i.e. one solar mass is $10^{10}$ $10^10$ years.

The relation between life expectancy $T_{e}$ $T_e$ , in terms of life expectancy of sun and its mass $M$ $M$ in terms of solar mass is

$T_{e} = \frac{1}{M^{2.5}}$ $T_e=1/M^2.5$

hence life expectancy of a $16$ $16$ -solar mass star is

$\frac{1}{16^{2.5}} \times 10^{10}$ $1/(16^2.5)xx10^10$ years

= $\frac{1}{1024} \times 10^{10}$ $1/1024xx10^10$ years

= $0.0009766 \times 10^{10}$ $0.0009766xx10^10$ years

= $9.766 \times 10^{6}$ $9.766xx10^6$ years

or roughly $10$ $10$ million years