Cyclohexane (C₆H₁₂) is produced by mixing Benzene and hydrogen. A process including a reactor, separator, and recycle stream is used to produce Cyclohexane. The fresh feed contains 260L/min C₆H₆ with 950 L/min of H₂ at 100 °C and 150 kPa. The single pass conversion of H₂in the reactor is 48% while the overall conversion of H₂ in the whole process is 75%. The recycle stream contains 90 mol% H₂ and the remainder benzene.

a)     Draw the diagram and evaluate the degree of freedom for this problem

b)     Determine the molar flow rates of H₂, C₆H₆, and C₆H₁₂in the exiting product.

c)      Determine the volumetric flow rates of the product stream if it exits at 100 kPa and 200 °C

d)     Determine the molar flow rate of the recycle stream, and the volumetric flow rate if the recycle stream is at 100 °C and 100 kPa.