“…The reaction temperature, pressure, AMS initial concentration, and gas flow rate were set as 30 °C, 0.6 MPa, 10 wt %, and 20 mL·min –1 , respectively. This hydrogenation is an extremely fast reaction, which enables a fully mass transfer limited regime to be reached even at moderate temperature and pressure. , Assuming a plug flow model, the apparent rate of reaction ( r a ) can be determined by the integration of a steady state mass balance over the whole catalyst. , The apparent rate can be expressed in terms of the AMS conversion and the liquid flow rate, as shown in eq . , where χ AMS and m Pd refer to the AMS conversion and the mass of the active component Pd, respectively. The overall gas–liquid–solid external mass transfer coefficient ( k ov ) can be measured through the hydrogen balance between the gas phase and the catalyst layer, which is given in eq . where , , V L , η, and r ( ) refer to the hydrogen concentration at equilibrium, the hydrogen concentration at the catalyst surface, the liquid volume, the effectiveness factor, and the intrinsic reaction rate, respectively.…”