relation between mass of black holes and tempereture? As we know, by increasing the mass or energy of a black hole, its event horizon radius will increase, but why its temperature should increase too?
Really I want the relation between mass and temperature of black hole!
 A: Higher temperature means it's hotter for a lower mass, i.e., it emits more and higher freq radiation. Micro black holes which evaporate away quickly do so at the end in a burst as they are the hottest. You have to get the details from the paper. 
The temperature is the one that would define that of a black body radiator, with the same probability density function for the radiation radiated. For black holes Hawking found that it is inversely proportional to the mass. He also determined that it is proportional to the surface gravity - defined as the acceleration that you'd have to give a body at the horizon (or right outside it) to keep it there without going in. Small black holes have a very high curvature of spacetime near them, thus a very high surface gravity and temperature, and emit at higher frequencies as they get smaller, till they dissappear in a burst. 
As they get smaller they will send out more gamma ray radiation.  
See about black holes temperature and thermodynamics at https://en.m.wikipedia.org/wiki/Black_hole_thermodynamics
