3. An endothermic reaction is conducted adiabatically in a packed bed reactor, and a conversion of 60% is achieved. The current PBR is to be replaced by a new one containing a more active catalyst. Because the catalyst has a higher activity, a smaller PBR is to be used, but the final conversion will still be 60% at the same feed conditions. Will the outlet temperature for the new reactor be higher than, lower than, or the same as the old reactor? Support your explanation by equations