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| In [[thermodynamics]], the '''Boyle temperature''' is the temperature at which a non ideal gas behaves most like an ideal gas. At Boyle temperature, set the compressibility factor <math>Z</math> to 1, and one can obtain
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| :<math>T_b = \frac{a}{Rb}</math>
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| Where a and b are [[Van der Waals equation|van der Waals parameters]].
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| <math>p = RT (\frac{1}{V_m} + \frac{B_{2}(T)}{V_m^2} + \frac{B_{3}(T)}{V_m^3} + \dots)</math>
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| This is the [[virial equation]] of state and describes a [[real gas]].
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| The '''Boyle temperature''' is formally defined as the temperature for which the second [[virial coefficient]], <math>B_{2}(T)</math> becomes 0.
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| It is at this temperature that the attractive forces and the repulsive forces acting on the gas particles balance out. Since higher order virial coefficients are generally much smaller than the second coefficient, the gas tends to behave as an [[ideal gas]] over a wider range of pressures when the temperature reaches the Boyle temperature (or when <math> c = \frac{1}{V_m}</math> or p are minimized).
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| In any case, when the pressures are low, the second [[virial coefficient]] will be the only relevant one because the remaining concern terms of higher order on the pressure. We then have
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| :<math>\frac{\mathrm{d}Z}{\mathrm{d}p} = 0 \qquad\mbox{if } p=0</math> | |
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| where <math>Z</math> is the [[compressibility factor]]
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| == See also ==
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| * [[Virial equation#Virial equation of state]]
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| * [[Real gas#Virial model]]
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| [[Category:Thermodynamics]]
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Latest revision as of 13:41, 18 July 2014
Andrew Simcox is the name his parents gave him and he completely loves this name. What me and my family love is to climb but I'm thinking on starting some thing new. Credit authorising is how he makes money. For a whilst I've been in Alaska but I will have to transfer in a yr or two.
my homepage; real psychics (http://mybrandcp.com/xe/board_XmDx25/107997)