lecture 1

lecture 1 - Equations of State relate properties of system...

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Equations of State relate properties of system eg. ideal or perfect gas: made from LARGE number of particles (molecules or atoms) point particles (have mass but no volume) particles in random motion no interparticle forces (no attraction; no repul- sion) collisions are elastic (interparticle and with walls) This model leads to the equation of state (which agrees with experiments on dilute real gases) PV = nRT (1) where: P = pressure = force/unit area V = volume n = number of moles T = temperature R = gas constant = 8.31 J/mol K = 0.0821 l atm / mol K 1
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Kinetic theory of gases gives expressions for P and E (energy) and the tem- perature dependence of E ( T ) Important results for one mole ( N A = 6.022 x 10 23 ) particles: PV = N A m a u 2 A / 3 = RT (for one mole of ideal gas) where a u 2 A = a u 2 X A + a u 2 Y A + a u 2 Z A is the mean-square particle velocity Now the average kinetic energy for 1 mole of parti- cles is K.E. = 1 2 N A m a u 2 A therefore, comparing the above equations
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lecture 1 - Equations of State relate properties of system...

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