Discuss the below:
Internal Energy and Pressure of Relativistic Gasses
For zero mass particles, like neutrinos, the relativistic relationship between energy E and momentum p is
E(p) = c|p|,
where c is the speed of light. Calculate the pressure and energy of a classical relativistic zero mass gas as a function of density and termperature and show that pV = gE, where g is a numerical constant. What is g? Is it different from the non-relativistic case?