Browsing by Author "Korfali,O."
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Article Citation Count: 5The classical adiabatic constancy of PVγ for an ideal gas as a quantum mechanical occurrence(2010) Yarman,T.; Kholmetskii,A.L.; Korfali,O.In this paper, a connection between the long lasting macroscopic classical laws of gases and the quantum mechanical description of non-interacting particles confined in a box was found, thus constituting an ideal gas. In such a gas, the motion of each individual molecule can be considered to be independent of all other molecules, and the macroscopic parameters of an ideal gas, mainly, pressure P and temperature T, can be defined as simple average quantities based on individual motions of all molecules in consideration. It is shown that for an ideal gas enclosed in a macroscopic box of volume V constant V, the constant γ appearing in the classical law of adiabatic expansion law, that is, PVγ = can be derived based on quantum mechanics. Physical implications of the result we disclose are discussed. © 2010 Academic Journals.Article Citation Count: 2The classical adiabatic constancy of PVγ for an ideal gas, can be shown to be a quantum mechanical occurrence, which yields the particular value of the constant, in question(2012) Yarman,T.; Kholmetskii,A.L.; Korfali,O.In this paper we find a full connection between the long lasting macroscopic classical laws of gases and the quantum mechanical description of non-interacting particles confined in a box, thus constituting an ideal gas. In such a gas, the motion of each individual molecule can be considered to be independent of all other molecules, and the macroscopic parameters of an ideal gas, mainly, pressure P and temperature T, can be defined as simple average quantities based on individual motions of all molecules in consideration. It is shown that for an ideal gas enclosed in a macroscopic cubic box of volume V, an alphanumeric expression for the Constant appearing in the classical law of adiabatic expansion law, i.e. PV5/3 = Constant, can be derived based on quantum mechanics. Note that this constant has otherwise remained for centuries, as just an abstract quantity in the form of P1V 15/3=P2V25/3 = P 3V35/3 written for different thermodynamic states, delineated through an adiabatic transformation. No one even seems to have thought that it may eventually have a particular expression. Physical implications of the result we disclose are discussed. © 2012 TIBTD Printed in Turkey.