Difference between revisions of "The Classical Adiabatic Constancy of ? for an Ideal Gas Turns out to be a Quantum Mechanical Occurence"
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| − | In this paper we find a connection between the macroscopic classical laws of gases and the <span>quantum mechanical description of non-interacting particles confined in a box, in fact constituting an ideal gas. In such a gas, the motion of each individual molecule can be considered independently from all other molecules, and thus the macroscopic parameters of ideal gas, like pressure'' P'' and temperature </span>''T''<span>, can be introduced as a result of simple averaging over all individual motions of molecules. It is shown that for an ideal gas enclosed in a macroscopic cubic box of volume </span>''V''<span>, the ''constant, in the classical law of adiabatic expansion expression'', i.e. PV<sup>5/3</sup> </span>can be derived, based on quantum mechanics. Physical implications of the result we disclose are discussed. In any case, our finding proves, seemingly, a ''macroscopic manifestation of a quantum mechanical behavior, ''and this in relation to classical thermodynamics.[[Category:Scientific Paper]] | + | In this paper we find a connection between the macroscopic classical laws of gases and the <span>quantum mechanical description of non-interacting particles confined in a box, in fact constituting an ideal gas. In such a gas, the motion of each individual molecule can be considered independently from all other molecules, and thus the macroscopic parameters of ideal gas, like pressure'' P'' and temperature </span>''T''<span>, can be introduced as a result of simple averaging over all individual motions of molecules. It is shown that for an ideal gas enclosed in a macroscopic cubic box of volume </span>''V''<span>, the ''constant, in the classical law of adiabatic expansion expression'', i.e. PV<sup>5/3</sup> </span>can be derived, based on quantum mechanics. Physical implications of the result we disclose are discussed. In any case, our finding proves, seemingly, a ''macroscopic manifestation of a quantum mechanical behavior, ''and this in relation to classical thermodynamics. |
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| + | [[Category:Scientific Paper|classical adiabatic constancy ideal gas turns quantum mechanical occurence]] | ||
Latest revision as of 11:11, 1 January 2017
| Scientific Paper | |
|---|---|
| Title | The Classical Adiabatic Constancy of ? for an Ideal Gas Turns out to be a Quantum Mechanical Occurence |
| Read in full | Link to paper |
| Author(s) | Tolga Yarman |
| Keywords | {{{keywords}}} |
| Published | 2007 |
| Journal | None |
Read the full paper here
Abstract
In this paper we find a connection between the macroscopic classical laws of gases and the quantum mechanical description of non-interacting particles confined in a box, in fact constituting an ideal gas. In such a gas, the motion of each individual molecule can be considered independently from all other molecules, and thus the macroscopic parameters of ideal gas, like pressure P and temperature T, can be introduced as a result of simple averaging over all individual motions of molecules. It is shown that for an ideal gas enclosed in a macroscopic cubic box of volume V, the constant, in the classical law of adiabatic expansion expression, i.e. PV5/3 can be derived, based on quantum mechanics. Physical implications of the result we disclose are discussed. In any case, our finding proves, seemingly, a macroscopic manifestation of a quantum mechanical behavior, and this in relation to classical thermodynamics.
