(a) Show that the ideal gas law can be written as where N is the number of particle...

(a) Show that the ideal gas law can be written as

where N is the number of particles in the sample and is the mean energy. (b) Use the result of (a) to estimate the pressure of the conduction electrons in copper, assuming an ideal Fermi electron gas. Comment on the numerical result, noting that 1 atm = 1.01 ×10⁵ Pa.