The simplest model of isotropic compressible turbulence consists of the Euler equations augmented by the equation for the turbulent energy. This model can also be viewed as the Euler equations for a continuum with two independent entropies. One of them is a conventional thermodynamic entropy, and the other is associated with the turbulent energy. The shock relations for this model are examined. It is shown that the turbulent entropy cannot exceed some critical value. We propose a closed set of Rankine–Hugoniot relations for the description of shock waves in such a medium based on this estimation.