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110c-lecture22 - Chapter 27 Kinetic Theory of Gases...

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Chapter 27: Kinetic Theory of Gases Model: Gas consists of large number of molecules far apart on average (10 23 in 22- at 0 ºC ). Molecules have small size compared to distance from neighbor (100-fold apart). Collisions between molecules are elastic and random (thermal energy k B T). No interactions between molecules (no attraction or repulsion). Question: How do we describe macroscopic properties of a gas (e.g. press, vol or temp) in terms of molecular motion (i.e. speed and energy of individual molecules)? PV = nRT PV Energy (i.e. motion) of gas molecules Objective: Derive an expression for Pressure and Temp in terms of average speed of individual molecules. Work Energy
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