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Today's wide range oxygen sensors are based on the limiting current principle, where an applied voltage induces electrochemical reactions in a ceramic cell. Since the diffusive transport of exhaust gas to the electrodes is limited by a transport barrier, the resulting electric current can be related to the exhaust gas composition. A model is presented which describes the transient transport of gas mixtures from the bulk exhaust gas to the electrodes of an oxygen sensor at variable pressure and composition. The internal structure of the transport barrier was accounted for by geometrical parameters. A variety of numerical results are compared with experimental data.