Pressure and bulk modulus of an electron gas. (a) Derive a relation connectingthepressureand volume of an electron gas at 0 K. Hint: Use the result of Problem1 and the relation between er and electron concentration. The result may be writ-ten as p =(U/V). (b) Show that the bulk modulus B = –V(dp/əV) of an electrongas at 0 K is B = 5p/3 = 10U/9V. (c) Estimate for potassium, using Table 1, thevalue of the electron gas contribution to B.

We will try to solve the question from the beginning, starting from maxwell's relation. We will do…

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