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- Equation
- Energy Associated with A Gas
- Applications to Thermodynamic Processes
- Deviations from Ideal Behavior of Real Gases
- Derivations
- Other Dimensions
- See Also
- Further Reading
- External Links
The state of an amount of gas is determined by its pressure, volume, and temperature. The modern form of the equation relates these simply in two main forms. The temperature used in the equation of state is an absolute temperature: the appropriate SI unit is the kelvin.
According to the assumptions of the kinetic theory of ideal gases, one can consider that there are no intermolecular attractions between the molecules, or atoms, of an ideal gas. In other words, its potential energyis zero. Hence, all the energy possessed by the gas is the kinetic energy of the molecules, or atoms, of the gas. 1. E = 3 2 n R T {\di...
The table below essentially simplifies the ideal gas equation for a particular processes, thus making this equation easier to solve using numerical methods. A thermodynamic process is defined as a system that moves from state 1 to state 2, where the state number is denoted by subscript. As shown in the first column of the table, basic thermodynamic...
The equation of state given here (PV = nRT) applies only to an ideal gas, or as an approximation to a real gas that behaves sufficiently like an ideal gas. There are in fact many different forms of the equation of state. Since the ideal gas law neglects both molecular size and intermolecular attractions, it is most accurate for monatomic gases at h...
Empirical
The empirical laws that led to the derivation of the ideal gas law were discovered with experiments that changed only 2 state variables of the gas and kept every other one constant. All the possible gas laws that could have been discovered with this kind of setup are: 1. Boyle's law (Equation 1) P V = C 1 or P 1 V 1 = P 2 V 2 {\displaystyle PV=C_{1}\quad {\text{or}}\quad P_{1}V_{1}=P_{2}V_{2}} 2. Charles's law (Equation 2) V T = C 2 or V 1 T 1 = V 2 T 2 {\displaystyle {\frac {V}{T}}=C_{2}\qua...
For a d-dimensional system, the ideal gas pressure is: 1. P ( d ) = N k B T L d , {\displaystyle P^{(d)}={\frac {Nk_{B}T}{L^{d}}},} where L d {\displaystyle L^{d}} is the volume of the d-dimensional domain in which the gas exists. The dimensions of the pressure changes with dimensionality.
Davis; Masten (2002). Principles of Environmental Engineering and Science. New York: McGraw-Hill. ISBN 0-07-235053-9.
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