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제113회 대한화학회 학술발표회, 총회 및 기기전시회 안내 The Improvement of Kinetic Theory of Ideal Gases and the Development of Kinetic Theory of a Particle Solution, based on Discovering the Maximum Net Energies of the Particles and the Solvent Molecules Available for Their Useful Works

2014년 2월 18일 16시 01분 38초
PHYS.P-425 이곳을 클릭하시면 발표코드에 대한 설명을 보실 수 있습니다.
4월 16일 (수요일) 16:00~19:00
저자 및
Jin Chang-Hee
18 springbrook circle, Tuscaloosa, AL. 35405 USA, Korea
There are two correct thermodynamic equations. One is that, in the case of the earth atmospheric equilibrium system in which ideal gas mixture of binary components i and j are in the gravitational equilibrium, according to Gibbs thermodynamic theory, the two conditions given by dμIGi = RTdlnPj = Migdh and dμIGj = RTdlnPj = Mjgdh (called the Gibbs equations) are necessary and sufficient for constructing the atmospheric system, where μ is the free energy of the ideal gas at an altitude of h; the subscription “i” (or “j”) stand for the gaseous component. Where P, R and T have their usual meaning, g the acceleration of gravity; Mi and Mj are the molecular weights of component i and j. The other is that in the case of the true gravitational system consisting of an inhomogeneous particle solution of different size molecules and different activities, we have Guggenheim’s thermodynamic equation given by Npdμp + Nsdμs = - NpV*p(Dp - D)gdh - NsV*s(Ds - D)gdh = 0 obtained from Gibbs-Duhem relation. This equation informs that the true free energies, μp and μs, considered by Guggenheim, balancing the true net gravitational potential are, respectively, dμp = - NsV*sMpgdh + NsV*pMsgdh and dμs = - NpV*pMsgdh - NpV*sMpgdh (called the Guggenheim’s equations). In the case of real solution of same-size molecules, we have dμp = RTdlnap and dμs = RTdlnas both are adapted in modern thermodynamic theory of solution that hold in the real solutions of different activities and, in fact, in same-size molecules. Comparing between the Gibbs equations and those Guggenheim’s equations informs that the unique state equations for true free energies that satisfy both the true gravitational equilibrium and the Gibbs-Duhem relation must be obtained by replacing the factors, Mpgdh and Msgdh, in the Guggenheim’s equations with those adopted equations for dμp and dμ as dμGu,p = - NsV*sRTdlnap + NsV*pRTdlnas and dμGu,s = - NpV*pRTdlnas + NpV*sRTdlnap. Using these unique state equations and adopting the equipartition principle, the following (a) to (h) are successfully illuminated through basic dynamic mechanical methods, and the correctness of these state equations are judged from these successes. Using the mechanical lever rule (a) the Raoul’s law and (b) van’t Hoff’s law are derived; (c) the equation is directly reduced to dμp = RTdlnXp and dμs = RTdlnXs in the case of ideally dilute particle solution, where Xp and Xs are the mole fractions of components p and s; (d) Einstein’s solute bombardment theory is proved to be correct; (e) an unified theory for the mechanism of osmotic equilibrium that harmonize perfectly with the law of action reaction, and (f) mechanical structure of Perrin’s atmospheric equilibrium that harmonize perfectly the Newton’s third law are presented.