IMPORTANT

Question 1 [C01, PO1, C4) (20 marks) Catalytic conversion of syngas to methanol is shown in Figure 1. Feed in stream 1 containing an unknown amount of syngas (H2. CO, CO2, and H2O) was combined with a recycle stream (stream 7). The combined stream was referred as stream 2 and the mole flow rate of each component in stream 2 is listed in the block diagram below. Stream 2 entered the reactor for methanol production. There were two reactions occurred within the reactor and both reactions were listed below. The single pass conversion for carbon dioxide (CO) was 20% and the selectivity between the desired and undesired product was 6. Products of the reactor (stream 3) entered a condenser, where all the methanol in stream 3 was completely condensed to liquid methanol, while some water in stream 3 was condensed to liquid water. The liquid product stream left the condenser as stream 6, while the gas product stream left the condenser as stream 4 and contain 25 mol% of hydrogen gas. Stream 4 was divided into stream 7 and stream 5. The split ratio between stream 5 and 7 was 3 to 1. Stream 5 was purged out of the system and stream 7 was recycled back into the system Desired reaction 2H + 8 - CH OH - CHOH Desired product Undesired product Undesired reaction: Co. 3H CHOH SHO Stream 6 Stream 5 Stream 4 25 mol % He Stream 1 Stream 2 188 molh He 50 molh CO comoth CO 20 moth CO 2 moh H.O moln He Reactor Condenser Stream 3 molho "co, non co. no molh Ho non mol CHION comoth co a moth H.O Stream 7 Figure 1: Catalytic conversion of syngas to methanol a) Write down the degree of freedom analysis for this system. (Only write down number of unknowns, reactions, and equations, no need to identify them.) [2 marks) 110 Stream 6 Stream 5 Stream 25 mol He Stream 1 Stream 2 molh H Tha tron H co molhco 50 moh CO 20 moh Co Po, molh CO 2 molt H.O muh Reactor Condenser Stream 3 moh oo molim co on, oh co novos moth CHOH Stream 7 Figure 1: Catalytic conversion of syngas to methanol a) Write down the degree of freedom analysis for this system. (Only write down number of unknowns, reactions, and equations, no need to identify them.) [2 marks] b) Solve for the components in stream 3, 5, and 6. [15 marks] 7 c) Calculate the overall conversion of hydrogen gas (H2) in this system. (Only solve for H2 in stream 1 to save time.) [3 marks)