A. Predict the pressure of nitrogen gas at T =-98 K and v=0.00375 m³/kg on the basis of (a) the van der Waals equation of state, (b) the Beattie-Bridgeman equation of state Compare the values obtained to the experimentally determined value of 10,000 kPa.

A. Predict the pressure of nitrogen gas at T =-98 K and v=0.00375 m³/kg on the basis of (a) the van der Waals equation of state, (b) the Beattie-Bridgeman equation of state Compare the values obtained to the experimentally determined value of 10,000 kPa.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter1: Gases And The Zeroth Law Of Thermodynamics

Section: Chapter Questions

Problem 1.39E

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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.

Question

A. Predict the pressure of nitrogen gas at T =-98 K and v=0.00375 m³/kg on the
basis of
(a) the van der Waals equation of state,
(b) the Beattie-Bridgeman equation of state
Compare the values obtained to the experimentally determined value of 10,000 kPa.

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