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The analysis of the energetic losses in a combustion engine shows that one-third of the chemical energy is lost as heat through the exhaust gas. Prior investigations have shown that an exhaust-gas driven Organic Rankine cycle (ORC) is suitable for the recovery of some of that energy. One of the essential components in such an ORC is the expansion machine. An investigation of the suitability of a turbine for this application is presented in this conceptual study. The concept is investigated for a heavy-duty truck application and a passenger-car application. On the basis of predefined design points, a thermodynamic analysis is performed to determine a suitable working fluid and the best process parameters. A single-stage partially admitted impulse turbine shows the best performance at tolerable rotational speeds for the resulting thermodynamic boundary conditions.