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Transverse energy and charged particle pseudorapidity densities atmidrapidity and their ratio, $dE_{T}/d\eta\mid_{mid} / dN_{ch}/d\eta|_{mid}$,are evaluated in a statistical model with longitudinal and transverse flows forthe wide range of colliders, from AGS to RHIC at $\sqrt{s_{NN}}=200$ GeV.Evaluations are done at freeze-out parameters established independently fromfits to observed particle yields and $p_{T}$ spectra. Decays of hadronresonances are treated thoroughly and are included in derivations of$dE_{T}/d\eta|_{mid}$ and $dN_{ch}/d\eta|_{mid}$. The predictions of the modelagree well with the experimental data. However, some (explicable)overestimation of the ratio has been observed.Comment: Revtex, 11 pages, 1 figure (included), The revised version with the  title changed and new conclusions added, to appear in Eur. Phys. J.

Transverse energy per charged particle at relativistic energies from a statistical model with expansion