If I have an adiabatic and rigid container with air , and if I fill it more with air, according to Ideal Gas law, the number of moles, temperature, and pressure would increase. Why would temperature increase?
Per example, if I have a piston and adiabatic cylinder, and if I push the piston, due to my work, particles will gain velocity and Kinetic Energy will increase, which means more Temperature. In the case of my rigid container, I would like to know why it would increase the temperature. I know there are more particles, they are tighter and they collide more, but I'm not providing any bonus energy, as heat or work, so their kinetic energy would mantain constant, and since an ideal gas only have elastic collisions, the temperature of whole system would be the same. Would the explanation for this be the fact that there are entering new particles with energy too, that can share with other particles?