The 14 moments model for dense gases, introduced in the last years by Arima,\udTaniguchi Ruggeri, Sugiyama, is here extended up to 18 moments. They have found the\udclosure of the balance equations up to a finite order with respect to equilibrium; it is\udalso possible to impose for that model the Entropy and Galilean Relativity Principles up\udto whatever order with respect to equilibrium but by using a Taylor's expansion. Here the\udexact solution is found, without expansions, but a bigger number of moments has to be\udconsidered and reasons will be shown suggesting that this number is at least 18.
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