In this problem, we will seek to better understand the thermodynamic conditions that are required for a fusion reaction. we will do so by estimating the temperature that would be required for 4he to fuse with 12c (a) given that nuclear radii are approximately (1.25 fm)a1/3, how far away must the two nuclei be (center to center) in order to fuse? (b) what is the coulomb energy at this separation distance? (c) in order for the average energy in the particles to equal half of this coulomb energy, what temperature is required?