3. drude model (14 points)
(a) calculate the number density of valence electrons in lithium, given that the mass density
is 530 kg=m3, the molar mass is 7 g=mol, and that lithium is monovalent (i. e., each atom
has one valence electron). (6 points)
i used n = n_{a}\left ( z_{v}\rho _{m}/m_{a}\right ) and got a value of 4.56 x 1028 m-3
(b) assuming that the mean free path of the electrons is 1 nm, calculate the conductivity
and the mobility of lithium at 295 k. (8 points)
i know i need to use: l = v_{o}\tau and v_{o} = \sqrt{3k_{b}t/m} the values for kb, tau and t are given. what value of m is used?
answer key says that vo = 1.16 x 105 m/s that's where i got stuck
you may need the following constants:
avogadro's number: na = 6.022 x 1023 boltzmann constant: kb = 1.38066 x 10-23 j/k
electron mass: m = 9.10953