An arrangement comprising: A pipe; A Coriolis flow meter, comprising at least one measuring tube that exhibits one inlet (21.1) and one outlet (21.2) and is configured to measure a mass flow of a medium flowing through the pipe; wherein a first pressure sensor is fitted in or on a inlet-side section of the pipe and a second pressure sensor is fitted in or on an outlet-side section of the pipe, and/or wherein a differential pressure sensor is configured to detect a pressure difference between an inlet-side section of the pipe and an outlet-side section of the pipe, wherein the pressure sensors and/or the differential pressure sensor are configured to determine a flow rate of the medium through the pipe by determining a differential pressure between an inlet-side section of the pipe and an outlet-side section of the pipe; wherein a first control sensor is fitted in or on an inlet-side section of the pipe and a second control sensor is fitted in or on an outlet-side section of the pipe, wherein the control sensors are configured to monitor a measured variable other than the media pressure in order to detect a static media state, wherein an electronic measuring/operating circuit of the Coriolis flow meter or an external computer is configured to both record and process measurement signals of the control sensors (41, 42), of the pressure sensors (31, 32) and/or of the differential pressure sensor, as well as to make a statement with regard to the flow rate of the medium, characterized in that the electronic measuring/operating circuit of the Coriolis flow meter or the external computer is configured to ignore a measurement of the flow rate in the form of the differential pressure measurement if a static or quasi-static media state is determined by the control sensors. A pipe; A Coriolis flow meter, comprising at least one measuring tube that exhibits one inlet (21.1) and one outlet (21.2) and is configured to measure a mass flow of a medium flowing through the pipe; wherein a first pressure sensor is fitted in or on a inlet-side section of the pipe and a second pressure sensor is fitted in or on an outlet-side section of the pipe, and/or wherein a differential pressure sensor is configured to detect a pressure difference between an inlet-side section of the pipe and an outlet-side section of the pipe, wherein the pressure sensors and/or the differential pressure sensor are configured to determine a flow rate of the medium through the pipe by determining a differential pressure between an inlet-side section of the pipe and an outlet-side section of the pipe; wherein a first control sensor is fitted in or on an inlet-side section of the pipe and a second control sensor is fitted in or on an outlet-side section of the pipe, wherein the control sensors are configured to monitor a measured variable other than the media pressure in order to detect a static media state, wherein an electronic measuring/operating circuit of the Coriolis flow meter or an external computer is configured to both record and process measurement signals of the control sensors (41, 42), of the pressure sensors (31, 32) and/or of the differential pressure sensor, as well as to make a statement with regard to the flow rate of the medium, characterized in that the electronic measuring/operating circuit of the Coriolis flow meter or the external computer is configured to ignore a measurement of the flow rate in the form of the differential pressure measurement if a static or quasi-static media state is determined by the control sensors.