Q:

The equation of state of gaseous nitrogen at low densities may be written as

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The equation of state of gaseous nitrogen at low densities may be written as

where v is a molar volume, R is the universal gas constant, and B (T ) is a function of temperature only. In the following table we give some experimental data for the second virial coefficient, B (T ), as a function of temperature.

Suppose that the intermolecular potential of gaseous nitrogen is given by

Use the experimental data of this table to determine the best values of the parameters a, b, and VO.

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According to Section 6.4 (although Nitrogen is a gas of diatomic molecules), the virial coefficient is given by

Now it is straightforward to fit the parameters a, b and Vo.

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