CHEM 11100 Lecture Notes - Lecture 9: Ideal Gas Law, Kinetic Energy
17 Jul 2016
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Molecular derivation of the ideal gas law: consider a classical particle in a box with length l along the x-axis. Px = pf pi = mvx ( mvx) = 2mvx. F = ma = m vx/ t = px/ t = 2mvx/(2l/vx) = mvx. 2/l: now generalize to n ideal particles in the box. But v = la, so pv = nm/3 (**) where n = number of moles and na = Avogadro"s number (**) is the molecular form of the ideal gas law. Since pv = nrt, we get nanm/3 = nrt, which simplifies to. Kinetic energy per mole = nam/2 = 3rt/2 (***: temperature is really a measure of the kinetic energy of a particle, from (***), useful expression for the average squared speed, three types of speed.
