The Stefan-Boltzmann Law states that a star's luminosity, temperature and size are related as: L= 4R2T4 a) If a star has a surface temperature five times higher than that of the Sun and twice the radius, by what factor is the star more luminous than the Sun? [8] b) In about 5 billion years, the Sun will become a red giant star with a luminosity that is 7,500 times greater than its current luminosity and a temperature that is half (0.5) its current temperature. How much larger will the Sun get? [8] c) Which planets would be swallowed up by the Sun when it becomes a red giant? The current radius of the Sun is 695,500 km and the distances to each planet are listed in the Appendix at the end of this problem set. [8].