A device for administering a drug solution includes: a pumping apparatus configured to deliver a drug solution held in a reservoir to a live body a flow rate sensing apparatus configured to determine a flow rate of the solution delivered by the pumping apparatus, the flow rate sensing apparatus comprising: a heat-generating element disposed in a conduit line in which the drug solution is delivered a first temperature sensor disposed in the conduit line upstream of the heat-generating element a second temperature sensor disposed in the conduit line downstream of the heat-generating element and an processor configured to calculate the flow rate in the conduit line based on a difference between a temperature detected by the first temperature sensing element and a temperature detected by the second temperature sensing element and a controller configured to control a drive state of the pumping apparatus based on the determined flow rate.