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1. A certain metal has a Fermi energy of 3 eV. Find the number of electrons per unit volume
with energy between 5 eV and 5.10 eV for T = 295 K.

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3 The Fermi-Dirac distribution provides the fraction of electrons that can be found for a given electron energy and temperature of the material. Silicon is a widely use semiconductor for computer processors and GPUs, with a band gap of 1.11 eV at room temperature (293 K). a) What is the Fermi energy of Silicon at room temperature? b) Calculate the electron concentration (total number of electrons) at 0.6 eV above the fermi level (in the conduction band) of one mol of silicon (each silicon atom contributes 4 electrons).
2) In one of the most recent silicon industry achievements of 2021, a single transistor takes up a rectangular area on a microchip that measures 10[nm] by 2O[nm]. The early microchips in the 1970's had rectangular transistors that each measured approximátely 20[um] by 40[µm]. How manv of the new 2021 transistors could fit inside the same area of a single 1970 transistor? A) 400 B) 4000 C) 40,000 D) 400,000 É 4,000,000