Reason for Higher Rate of Gas Flow per Unit Cross-Sectional Area of Smaller Pore Aperture
Ikechukwu I. Udema *
Research Division, Department of Chemistry and Biochemistry, Ude International Concepts LTD (862217), B. B. Agbor, Delta State, Nigeria and Owa Alizomor Secondary School, Owa Alizomor, Ika North East, Delta State, Nigeria
*Author to whom correspondence should be addressed.
Abstract
Objectives: The objectives of this research are to 1) Formulate equation that shows the effect of pore aperture (or confinement) on not just the mass movement of molecules but the movement of individual molecules and 2) elucidate the derived equation and illustrate with diameter of pipes or tubes in literature.
Place and Duration of Study: Department of Chemistry and Biochemistry, Research Division, Ude International Concepts LTD (862217), B. B. Agbor, Delta State, Nigeria; Owa Alizomor Secondary School, Owa Alizomor, Ika North East, Delta State, Nigeria. The research started between 2011 and 2013 and discontinued until March, 2018.
Methods: Theoretical and calculational.
Results: The results reaffirm that higher volume of gas flows through pore aperture of longer diameter than the shorter diameter. The same is applicable to longer tubes. The velocity of flow (volume of gas diffusing per cross-sectional area of pore aperture per unit time) is higher for shorter diameter of pore aperture than the longer diameter of pore aperture. The converse is the case for the entropy implicit in the flow of gas through pores of different diameter.
Conclusion: The “reduced velocity” is inversely proportional to the cube root of the diameter of the pore. The entropic value arising from the effect of diameter is directly proportional to natural logarithm of the square of half of the diameter. If the diameter of the pore is equal to the dB wavelength the gas molecule may continue its motion at a root mean square velocity.
Keywords: Carbon (IV) oxide, diffusion, randomness, entropy, “reduced velocity”, pore aperture, kinetic energy, root mean square velocity