Question

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

Answer 1

`10` million years

Explanation:

Life expectancy of sun i.e. one solar mass is `10^10` years.

The relation between life expectancy `T_e`, in terms of life expectancy of sun and its mass `M` in terms of solar mass is

`T_e=1/M^2.5`

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

`1/(16^2.5)xx10^10` years

= `1/1024xx10^10` years

= `0.0009766xx10^10` years

= `9.766xx10^6` years

or roughly `10` million years