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 , of the pressure sensors 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 , of the pressure sensors 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. <EOS>