Question

Consider a free electron gas consisting of n electrons occupying volume v . At high enough temperature t , the system behaves like a classical idea gas, such that the pressure of the system is proportional to t . At absolute zero, the system exerts a non-zero pressure, the fermi pressure. If the temperature of the system is such that the system is strongly degenerate, given that a certain fraction of electrons are excited above the fermi energy (and assuming that this fraction exerts pressure just like a classical gas), what power of temperature do you expect the increase in pressure relative to absolute zero to be proportionate to? Explain.

Answer 1

Answer:

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