A dispensing device for dispensing anesthetic in a breathing gas stream includes a flow duct (42) for an anesthetic-containing breathing gas stream, a control unit (5) and a first temperature sensor (54). An anesthetic feed device (45) has an evaporation surface (46) arranged in the flow duct (42). The first temperature sensor (54) detects the temperature of the evaporation surface (46) and sends a first temperature signal (T1) to the control unit (5). A second temperature sensor (53) detects the temperature of the breathing gas stream in the flow duct (42) and sends a second temperature signal (T2) to the control unit (5). The control unit (5) is configured to determine an anesthetic concentration based on the first and second temperature signals (T1, T2).