Hooke's law states that if you compress a spring the increase in pressure is linear, if you compress it 1 cm you might have 1 lb of force, if you compress it 2cm you get 2 lb of force.
As that is double the force over double the distance it also involved 4 times more work to compress it and 4 times more work out. Reference: http://labman.phys.utk.edu/phys135core/modules/m6/Hooke's%20law.html "If we double the displacement, we do 4 times as much work" Ok, but this seems problematic when the thermal capacity of a gas is not just changed by making it hotter so if you put in 100 Joules and increase the temp 100 Kelvin you get about 5 PSI of pressure increase, but if you input 200 Joules you get about a 200 Kelvin increase and a 10 PSI increase and to compensate for this greater pressure change the piston moves about twice as far, so twice as far with twice the pressure again is 4 times the energy. At 10 times more input you get 100 times more out, at 100 times more in you get 10,000 time more energy out! The energy increase is exponential with linear increase of temp! If this is not so please explain why not? If the ideal gas law wrong about pressure increase being linear with temp? Does the thermal capacity of a gas change more with temp than I'm finding out when I research it? It sure does seem the gas will like the spring with twice the pressure move about twice as much before the piston isn't motivated, and as such it seems some laws of physics are wrong. Jonathan
