Although the pressure law is an empirical law, we can make sense of it by relating it to the average KE of particles. If we double the speed of particles, then their KE quadruples (KE=^{1}/_{2}mv^{2}) Therefore, the temperature is __4 times bigger__ (T µ KE) However, if we double the speed there will be twice as many collisions every second. Also, each collision has twice the impulse. So, with twice as many, doubly hard, collisions the __pressure is 4 times bigger __as well. Both the temperature and the pressure are 4 times bigger, i.e. they have gone up in proportion. |