Answer to Question 1
e
Answer to Question 2
As it radiates energy into space, a white dwarf's temperature gradually falls, but it can't shrink any smaller because its degenerate electrons resist getting closer together. Degenerate matter is a very good thermal conductor, so as heat flows to the surface and escapes into space the white dwarf gets fainter and cooler, moving downward and to the right in the H-R diagram. Because a white dwarf contains a tremendous amount of heat, it needs billions of years to radiate that heat through its small surface area. Eventually, such objects may become cold and dark, so-called black dwarfs.