Suppose in some galaxy, an instantaneous bursts of star formation produced 10^(11)M_(o.) of stars
with a minimum mass M_(min)=0.3M_(o.) and a maximum mass M_(max)=100M_(o.). Between these
limits, the initial mass ufnction was a Salpeter mass function, N(M_(***))=KM_(***)^(-2.35), where K
is a normalization constant. At the present day, the stars with M_(***)=1M_(o.) have just run out
of hydrogen in their cores.
(a) Compute the initial number of stars created and the number still on the main sequence
at the present day.
(b) Assume that all stars with initial mass 1M_(o.) are now white dwarfs.
Compute the number of white dwarfs in the population today.
4. Suppose in some galaxy, an instantaneous bursts of star formation produced 10lMo of stars with a minimum mass Mmin = 0.3Mo and a maximum mass Mmax = 100Mo. Between these
is a normalization constant. At the present day, the stars with M* = 1Mo have just run out of hydrogen in their cores.
(a) Compute the initial number of stars created and the number still on the main sequence at the present day.
(b) Assume that all stars with initial mass 1Mo < M* < 8Mo are now white dwarfs. Compute the number of white dwarfs in the population today.