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Problem 4 (3 points total) Methanol (CH3OH) is the simplest aliphatic alcohol, with more than 20 million tons of the chemical produced annually worldwide. It

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Problem 4 (3 points total) Methanol (CH3OH) is the simplest aliphatic alcohol, with more than 20 million tons of the chemical produced annually worldwide. It is commonly used as a reagent for synthesizing formaldehyde. Occasionally, it is even used a fuel for internal combustion engines. Figure 1 depicts a typical process used to synthesize methanol. This process utilizes four different reactions: CH4+2H2OCO2+4H2CH4+H2OCO+3H22CO+O22CO2CO2+3H2CH3OH+H2O In the reformer, methane is converted to CO2 via reaction 1 . However, an undesired side product of CO is also produced by reaction 2.10% excess steam, based on reaction 1 , is fed to the reformer. The CH4 is completely consumed, but the yield of CO2 is only 90%. In the CO converter, the outlet of the reformer is fed into a unit operation that completely transforms the undesired CO into CO2 by reacting it with O2 (reaction 3). A stochiometric amount of O2, based on reaction 3 , is fed to the converter. After conversion, the outlet is mixed with pure CO2 to tune the methanol reactor inlet stream to have aH2:CO2 molar ratio of 3:1. For the methanol reactor, CO2 and H2 are reacted to form CH3OH and H2O. The single pass conversion of CO2 is 55%. The outlet of the reactor is cooled to condense the CH3OH and H2O, while the remaining gases are recycled. The methane feed (stream 1) contains 99mol/s of CH4 and 1mol/min of N2 as an impurity. To prevent build-up of nitrogen in the process, the overhead of the condenser is separated into recycle and purge streams. N2, fully removed in the purge, makes up 5mol% of stream 13 . The recycle (stream 8) and purge both have a H2:CO2 molar ratio of 3:1. Based on the process description, calculate the following: A. Flowrate of the CO2 makeup (stream 6) B. Flowrate of H2 in the purge (stream 13) C. Weight percent of CH3OH in the methanol solution (stream 11) D. The molar ratio of CO2 in the recycle and purge streams Figure 1. Schematic of methanol synthesis process

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