1.One hundred moles per minute of a binary mixture of 50% A and 50%B are separated in a two-stage (serial) process. In the first stage, the liquid and vapor flow rates exiting from the stage are each 50mol/min. The liquid stream is then passed into a second separator that operates at the same temperature as the first stage. The temperature is the same for each stage, and at that temperature, the vapor pressure of A is 10kPa and the vapor pressure of B is 100kPa. Treat the liquids and vapors as ideal. Calculate the compositions of the vapor and liquid streams, and the pressure in the first stage. (30\%) 2. One mole of a gas is placed in a closed system with a 0.02m3 vessel initially at T=300K. The vessel is then isothermally expanded to 0.04m3. The gas follows the equation of state: P=VRT+V2a where a=4.053m6Pa/mol2 and R=8.314J/molK. (1) Derive an expression relating (H/V)T to measurable properties. (10%) (2) Find H for the gas in this process. (10%) Expansion rule: (YX)Z=(KX)L(YK)Z+(LX)K(YL)2 3. Consider a second-order reaction 2AB+C, which is occurred in 20 meters of 121 schedule 40 pipe packed with catalyst. There is 104.4lbm/h of gas flowing through the bed with the entering pressure of 101300Pa. Temperature was kept at 260C. Entering volumetric flow rate (v0) is 6.5m3/h. Cross-sectional area of pipe is 0.0013m2. Catalyst pellet size is 6mm; catalyst bulk density is 1800kg/m3. Pressure drop parameter (0) is 2580Pa/m. Assume specific reaction rate constant (k) is independent of particle size; k=0.012m6/molkg cat.'h. Calculate the conversion with and without pressure drop. (20\%) If the catalyst size increases by a factor of 2 , what is the conversion with pressure drop? (10%) 4. Consider the reaction mechanism: X+SXSXS+YZSZSZ+S (1) Derive a rate law assuming surface reaction is rate-limiting. (10%) (2) Derive a rate law assuming adsorption of X is rate-limiting. Let Y adsorb on catalyst surface and react with XS.(10%) Modified (B) and add one extra adsorption reaction