An MFC includes: a proportional valve; a mass flow sensor; a first flow line connecting from an outlet of the proportional valve through the mass flow sensor to an exit line; a second flow line joining the first flow line at a first junction located upstream of the mass flow sensor and at a second junction located downstream of the mass flow sensor; a switching valve placed such that the switching valve can regulate a flow of a gas through the first flow line or the second flow line; and a control device connected to provide a feedback control loop for regulating the proportional valve based on signals measured by the mass flow sensor, wherein the control device includes a program for keeping a rate of a flow exiting the exit line substantially constant when the flow is through the second flow line.