Chemistry 2214A/B Lecture Notes - Lecture 3: Excluded Volume, Ideal Gas, Molar Mass
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In thermodynamics, we deal with the macroscopic properties of the whole system containing all the molecules, that is why we need which is the internal energy, u, of the system at a given. Root mean-square speed: c2 = = 3rt/m, so rms speed is c = (3rt/m) Assuming ideal behaviour, (a) calculate the average kinetic energy for he (m = 4 gmol-1) and ar (m = 40 gmol-1) in kjmol-1 at 25 c; (b) calculate the rms speed of he and ar at 25 c. Average kinetic energy depends on t only, so: = (3/2) (a) Rt = (3/2) 8. 314(298. 15) = 3. 718 kjmol-1 (b) k/4 gmol-1) = 1. 859 kjg-1 che = 1. 859 kjg-1 = 1. 859 x 106 m2s-2 = 1363 ms-1. For he: che = (3rt/mhe) = (3 x 8. 314 jk-1mol-1 x 298. 15: = 185. 91 kjg-1 = 1. 8591 x 108 m2s-2 = 13635 ms-1.