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Introduction
Published in Armen S. Casparian, Gergely Sirokman, Ann O. Omollo, Rapid Review of Chemistry for the Life Sciences and Engineering, 2021
Armen S. Casparian, Gergely Sirokman, Ann O. Omollo
The ideal gas law, known as the equation of state for ideal gases, is a very useful and powerful problem-solving tool. It relates the pressure, volume, and temperature of a quantity of a gas. An ideal gas is a gas in which every molecule behaves independently of every other molecule (there is an absence of any intermolecular forces) and has no excluded volume. It is represented by the ideal gas law stated earlier: PV=nRT
Theoretical Foundations of Gas Pipe Networks and Installations
Published in Alexander V. Dimitrov, Natural Gas Installations and Networks in Buildings, 2020
The law sets forth the behavior of temperature T and volume V of a fuel gas under isobaric conditions, i.e. at a fixed pressure p=const. Generally, it states that the volume of an ideal gas at constant pressure is directly proportional to the absolute temperature.
Environmental Fate and Transport of Solvent-Stabilizer Compounds
Published in Thomas K.G. Mohr, William H. DiGuiseppi, Janet K. Anderson, James W. Hatton, Jeremy Bishop, Barrie Selcoe, William B. Kappleman, Environmental Investigation and Remediation, 2020
Thomas K.G. Mohr, James Hatton
The dimensionless form of the Henry's law constant, noted as HC, is obtained by converting gas concentrations from partial pressures in atmospheres to moles per cubic meter. The ideal gas law relates pressure, volume, temperature, and number of moles: nV=PRT,HC=HRT,
Numerical treatment of heat recovery steam generator harps constructed from multiple tube bundle configurations
Published in Numerical Heat Transfer, Part A: Applications, 2023
The tubes and fins are carbon steel with The thermodynamic properties of this material are considered functions of temperature as follows [39]: where denotes the static temperature, and denote the specific heat capacity at constant pressure and the thermal conductivity of carbon steel material, respectively. The gas-side fluid is air and obeys the ideal gas law as the equation of state. The thermodynamic properties of air can also be given as a function of temperature as follows:
Large-eddy simulation of split injection strategies in RCCI conditions
Published in Combustion Theory and Modelling, 2022
Bulut Tekgül, Shervin Karimkashi, Ossi Kaario, Heikki Kahila, Éric Lendormy, Jari Hyvönen, Ville Vuorinen
The gas-phase fluid flow is solved using the compressible Navier-Stokes equations. The mass conservation, momentum, species transport, and enthalpy equations are solved together. The system of equations is closed by the ideal gas law and thermal equation of state. The LES formulation of these equations with Favre filtering is given as: where are filtered density, velocity, pressure, mass fraction of k species, sensible enthalpy and viscous stress sensor, respectively. Overbar (¯) denotes the unweighted ensemble average and tilde (˜) denotes the density-weighted ensemble average. The variables and in the energy equation (Equation (4)) represents the heat capacity and thermal conductivity of the mixture. In reacting cases, the production rate of each specie is denoted by and heat release rate (HRR) is calculated as , where is the enthalpy of formation. A unity Lewis number is assumed with the diffusion coefficient .
A variational derivation of the thermodynamics of a moist atmosphere with rain process and its pseudoincompressible approximation
Published in Geophysical & Astrophysical Fluid Dynamics, 2019
The equation of state of dry air is the ideal gas law where v is the specific volume, p is the pressure, T is the temperature, is the gas constant for dry air written in terms of the universal gas constant and the mean molecular weight of dry air . The expression of all other thermodynamic variables for dry air in terms of p and T can be derived by using the equation of state (1) and the fact that the specific heat at constant pressure can be assumed to be constant in the atmosphere, which is the hypothesis for a perfect gas. For example, it is deduced that the specific internal energy and the specific entropy are where is the specific heat at constant volume, is a constant, and we assume that the internal energy at T=0 K is zero.