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Pressure and bulk modulus of an electron gas. (a) Derive a relation connecting the pressure and volume of an electron gas at 0 K. The result may be writ- ten as p =(U/V). (b) Show that the bulk modulus B = -V(@p/aV) of an electron gas at 0 K is B = 5p/3 = 10U/9V.

Pressure and bulk modulus of an electron gas. (a) Derive a relation connecting the pressure and volume of an electron gas at 0 K. The result may be writ- ten as p =(U/V). (b) Show that the bulk modulus B = -V(@p/aV) of an electron gas at 0 K is B = 5p/3 = 10U/9V.

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Pressure and bulk modulus of an electron gas. (a) Derive a relation connecting the pressure and volume of an electron gas at 0 K. The result may be writ- ten 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.
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. The result may be writ- ten 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.
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