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Extended Thermodynamics of Dense Gases with an arbitrary but fixed number of moments has been recently studied in literature; the arbitrariness of the number of moments is linked to a number N and the resulting model is called an (N)−Model. As usual in Extended Thermodynamics, in the field equations some unknown functions appear; restriction on their generalities are obtained by imposing the entropy principle, the Galilean relativity principle and some symmetry conditions. The solution of these conditions is called the "closure problem" and it has not been written explicitly because an hard notation is necessary, but it has been shown how the theory is self- generating in the sense that, if we know the closure of the (N) −Model, than we will be able to find that of the (N + 1) − Model. Instead of this, we find here an exact solution which holds for every number N.

AN EXACT SOLUTION FOR THE MACROSCOPIC APPROACH TO EXTENDED THERMODYNAMICS OF DENSE GASES WITH MANY MOMENTS