It is well known that total free energy changes (ag) associated with the homogeneous nucleation is related to the changes in the volume free energy (agv) and surface free energy (y) of the nucleus 1) (5) derive the equations for the critical radius of the nucleus ( and critical 2) (5) rewrite the answers to the question 1) in terms of degree of undercooling 3) (10) using the temperature dependences of nucleation and growth rates free energy (ag) for the spherical nucleus ? t=tm-t where tm is the melting point. during the phase transformation, explain why the time-temperature- transformation (ttt) curves show c-shaped behavior.