You have a long piece of aluminum wire, 10 m long and 1.0mm in diameter. the table below gives some characteristics of aluminum that may be useful for this problem; you may also wish to refer to the data tables. temperature coefficient of resistivity: 0.0039/"c density . molar mass: 2.7x10' kg/m 205 w/m/k 2.2x10- 9001/(kg k) 27.0 g/mol thermal conductivity: . magnetic susceptibility: .specific heat: (5 points) if the wire is at a normal room temperature of about 70'f, find the average thermal energy per atom and the ms speed of the atoms a. b. (4 points) find the current in the wire if it is connected across a 1.5 v ideal battery. (4 points) assuming that each aluminum atom has 3 free electrons, find the number density of free electrons (n) in the wire. c. (4 points) find the drift speed of the electrons when the wire is carrying the current found in part (b). how does this compare to the thermal speed from part (a)? you d.