Yarman, Nuh TolgaYarman, TolgaKholmetskii, Alexander L.Korfali, OnderEnerji Sistemleri Mühendisliği / Energy Systems Engineering2024-10-152024-10-15201041992-1950[WOS-DOI-BELIRLENECEK-268]https://hdl.handle.net/20.500.14517/6474Yarman, Tolga/0000-0003-3209-2264In 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, the constant gamma appearing in the classical law of adiabatic expansion law, that is, (PV gamma = constant), can be derived based on quantum mechanics. Physical implications of the result we disclose are discussed.eninfo:eu-repo/semantics/closedAccessAdiabatic transformationquantum mechanicskinetic theory of gasesThe classical adiabatic constancy of PV<SUP>γ</SUP> for an ideal gas as a quantum mechanical occurrenceArticle51015241529WOS:000284552500005