Bulk modulus of the Femi gas show that the contribution of the kinetic energy to the bulk

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Bulk modulus of the Femi gas show that the contribution of the kinetic energy to the bulk modulus of the electron gas at absolute zero is B = 1/3nmv2/F. It is convenient to use (6.60). We can use our result for B to find the velocity of sound, which in a compressible fluid is v = (B/p)1/2, where v = (m/3M)l/2 vF, in agreement with (46). These estimates neglect attractive interactions.

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