Pressure and bulk modulus of an electron gas. (a) Derive a relation connecting che pressure and volume of an electron gas at 0 K. Hint: Use the result of Problem 1 and the relation between er and electron concentration. The result may be writ- en as p =(U/V). (b) Show that the bulk modulus B = –V(ap/ɔV) 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.
Pressure and bulk modulus of an electron gas. (a) Derive a relation connecting che pressure and volume of an electron gas at 0 K. Hint: Use the result of Problem 1 and the relation between er and electron concentration. The result may be writ- en as p =(U/V). (b) Show that the bulk modulus B = –V(ap/ɔV) 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.
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Transcribed Image Text: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 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 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.
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