The second virial coefficient of methane can be approximated by the empirical equation B(T) = a + e-c/T^2, where a = −0.1993 bar−1, b = 0.2002 bar−1, and c = 1131 K2 with 300 K < T < 600 K. What is the Boyle temperature of methane?

The second virial coefficient of methane can be approximated by the empirical equation B(T) = a + e-c/T^2, where a = −0.1993 bar−1, b = 0.2002 bar−1, and c = 1131 K2 with 300 K < T < 600 K. What is the Boyle temperature of methane?

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter9: Liquids, Solids, And Materials

Section: Chapter Questions

Problem 45QRT: At the critical point for carbon dioxide, the substance is very far from being an ideal gas. Prove...

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Concept explainers

Kinetic-Theory of Gases

Kinetic theory of gases is the model or method which was developed in the 19th century by Maxwell and Boltzmann. This is possible as the interatomic force which is of short-range forces that are important for solids and liquids can be neglected for gases. This theory or gas law gives a molecular interpretation of the pressure and temperature of a gas and is consistent with gas laws and Avogadro’s hypothesis. This theory is very helpful to correctly explain the specific heat capacities of many gases, kinetic energy and it also explains the transport qualities such as viscosity, thermal conductivity, and diffusion with molecular parameters. As stated in the kinetic-molecular theory, the temperature of a substance or gas particle is related to the average kinetic energy of the particles of that substance. When a substance is heated, some of the absorbed energy is stored within the particles, while some of the energy increases the motion of the particles, called average kinetic energy.

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The second virial coefficient of methane can be approximated by the empirical equation B(T) = a + e^{-c/T^2}, where a = −0.1993 bar⁻¹, b = 0.2002 bar⁻¹, and c = 1131 K² with 300 K < T < 600 K. What is the Boyle temperature of methane?

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