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      • Boyle temperature (TB) is related to the Van der Waal’s constant a, b as given below. At this temperature, the attractive and repulsive forces acting on the gas particles arrive at a balance for a real gas. TB = a R b
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  2. In general, there is one temperature, the Boyle temperature, at which a gas will approach ideal behavior as the pressure goes to zero asymptotically, and thus behave ideally over a broad range of lower pressures. The Boyle temperature is found by solving \[ \lim_{p \rightarrow 0} \left( \dfrac{\partial Z}{\partial p} \right) = 0 \nonumber \] or

  3. The Boyle temperature is formally defined as the temperature for which the second virial coefficient, , becomes zero. It is at this temperature that the attractive forces and the repulsive forces acting on the gas particles balance out. This is the virial equation of state and describes a real gas. Since higher order virial coefficients are ...

  4. This temperature is known as the Boyle temperature, T B, and it is the temperature at which the repulsive forces between the gas molecules exactly balance the attractive forces between the gas molecules.

  5. Nov 13, 2022 · For any gas, there is a special temperature (the Boyle temperature) at which attractive and repulsive forces exactly balance each other at zero pressure. As you can see in this plot for methane, some of this balance does remain as the pressure is increased.

  6. Sep 25, 2020 · For a van der Waals gas, the critical temperature is 8a/(27Rb), so the Boyle temperature for a van der Waals is a/(Rb). The reader should calculate this for H 2 O and CO 2 , using the values of the van der Waals constants given in this Chapter.

  7. The Boyle temperature is the temperature at which the attraction and repulsion balance out and the gas behaves approximately ideally. Below this temperature the short range repulsion dominates over the long range attraction, while above this temperature the long range attraction dominates over the short range repulsion.

  8. Sep 15, 2007 · We report Boyle temperatures of 83 pure substances calculated using the Zeno (unit compressibility) line from standard or reference equations of state (EOS). We compare the results using different EOS and from correlations already published in the literature.

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