An arrangement includes a pipeline and a Coriolis volumetric flow meter for measuring a mass flow rate of a medium flowing through the pipeline. A first pressure sensor is attached at an inlet-side of the pipeline and a second pressure sensor is attached at an outlet-side of the pipeline, or wherein a differential pressure sensor is configured to detect a difference between an inlet-side and an outlet-side. The pressure sensors and/or the differential pressure sensor are configured to measure a media pressure and to determine, for each differential pressure, a volumetric flow velocity of the medium through the pipeline. A first monitoring sensor is attached at an inlet-side portion of the pipeline and a second monitoring sensor is attached at an outlet-side portion of the pipeline, wherein the monitoring sensors are configured to monitor a measurement variable different from the media pressure to identify a static media state.