The bulk modulus к is given by the second derivative of the total energy etotal with respect to the volume, 1 0etot (a) (30 pts) estimate the bulk moduli of alkali metals by assuming that the total energy is equivalent to the kinetic energy of the fermi gas. (alkali metals are well modeled by simple free electron gas contributing 1 electron per atom to the gas). (b) (5 pts) discuss and describe your ideas of what has been neglected in this model for this purpose)