Consider an ultra-relativistic ideal gas of N particles obeying the energy-momentum relation E (p) = cpl, where c is the
Posted: Mon May 23, 2022 12:24 pm
Consider an ultra-relativistic ideal gas of N particles obeying the energy-momentum relation E (p) = cpl, where c is the speed of light. (Here the term ultra-relativistic means that [p|c » mc² where m is the mass of the particle.) a) Show that the canonical partition function is given by 31 N 1 V (KBT Z(T,V, N) - N! π² ħc hc b) Find the internal energy of the gas E (T,V, N). c) Find the pressure P(T,V, N) =