Statistical Mechanics · Problem 9.6

Statistical Mechanics of Interacting Systems: The Method of Quantized Fields — R. K. Pathria

Physics — Statistical Mechanics · nitrogen-gas-empirical-parameters

Problem

Assume that the molecules of the nitrogen gas interact through the potential of the previous problem. Making use of the experimental data given below, determine the ``best'' empirical values for the parameters r0r_0, r1r_1 and u0/ku_0/k: T (in K)100200300400500a2λ3 (in K per atm)−1.80−4.26×10−1−5.49×10−2+1.12×10−1+2.05×10−1\begin{array}{l|ccccc} T \text{ (in K)} & 100 & 200 & 300 & 400 & 500 \\ \hline a_2\lambda^3 \text{ (in K per atm)} & -1.80 & -4.26\times10^{-1} & -5.49\times10^{-2} & +1.12\times10^{-1} & +2.05\times10^{-1} \end{array}

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