(Please give me Part C solution now table.1 is available.)

Question Please give me proper solution. . Pressure and bulk modulus of an electron gas. (a) Derive a relation connecting the pressure and volume of an electron gas at 0 K. Hint: Use the result of Problem 1 and the relation between EF and electron concentration. The result may be written as p=(UV). (b) Show that the bulk modulus B = -V(ap/aV) of an electron gas at 0 K is B = 5p/3 = 10U/9V. (c) Estimate for potassium, using Table 1, the value of the electron gas contribution to B. Show transcribed image text Expert Answer So Rajdeep the ^kz (a) XKX Can be calculated as follows. Total Energy of the electron gas at o'k Consider a shell of thickness dk as shown in figure. Contains volume () = dk 23. Ky number of electron states in this shell is X-[/TKdk] Volume required for I State in K-space = Date:10 hr ago VR dk 7