As this thread implies i wanted to try to prove ideal gas equation pV=vnRT where T is tempearture p is pressure n is mole V is volume and R is gas constant and then I found that I had to prove la grangian What I wonder about is given in thread here https://www.physicsforums.com/showthread.php?t=574248 In the end of the thread it is said that someone her might be able to help me with a suitable textbook. Is that possible?
Hello Georg, As with strangerep in the other thread you started I am not sure what you are attempting, but you should look up the Joule experiment and the Joule-Thompson experiment. They proved experimentally that the so called internal pressure of an ideal gas is zero. This provides an alternative definition of an ideal gas as a gas with [tex]{\left( {\frac{{\partial U}}{{\partial V}}} \right)_T} = 0[/tex] You can use this plus Boyle's law to derive PV=NRT. The following thermodynamic relation is also useful. this relates to all substances, not only ideal gasses. [tex]{\left( {\frac{{\partial U}}{{\partial V}}} \right)_T} + P = T{\left( {\frac{{\partial P}}{{\partial T}}} \right)_V}[/tex] By the way did you see my answer in your other thread about reversibility?