The number of vacancies in some hypothetical metal increases by a factor of 5 when the temperature is increased from 1010 K to 1150 K. Calculate the energy (in kJ/mol) for vacancy formation assuming that the density of the metal remains the same over this temperature range. [Hint: given f which is the ratio of Nv1/Nv2, use Nv = N exp (Qv/kT). Since the material is the same, Qv is the same.]