a) Spica (a type B main sequence star) has mass 2.1x10^31 kg. Find the total mass m that will change to energy when the core fuses from hydrogen to helium. Give the answer in kg.
b) The luminosity of Spica is 12,000 times the luminosity of the Sun, or 4.8x10^30 watt. How much mass does Spica turn into energy each second? Give the answer in kg.
c) Find the lifetime of Spica in the way the lifetime of the Sun was found in the notes from last week: Use the answers to the last two problems for the total mass Spica will change to energy and for the mass Spica changes to energy each second. Give the answer in seconds.
d) You should have found for Spica a lifetime of about 2.8x10^14 seconds. What is its lifetime in years?