Phenol is added to mixer $1$ and mixed with recycled phenol from distillation column $1.$ Into a pump $1$ then into mixer $2$ the product is then mixed with fresh H$2$ and recycled H$2.$ The product is sent to heat exchanger $1$ then a fixed bed reactor and reacted at $100$ degrees Celsius and $5$ bar. Cyclohexanol, Cyclohexanone, unreacted H$2$ and unreacted Phenol is then passed to heat exchanger $2$ then flash separator $1.$ h$2$ is removed and recycled back into the system through a compressor then back into mixer $2.$ The products from separator $1$ are passed through pump $2$ then heat exchanger $3$ then distillation column $1,$ phenol is separated and passed through heat exchanger $4$ and joins mixer $1$ from cyclohexanone and cyclohexanol which are removed as top product. This product is then passed through a reboiler and heat exchanger $5$ then Into Distillation column $2,$ cyclohexanol is removed as bottom product while cyclohexanone is removed as top product and stored. Cyclohexanol is passed through heat exchanger $7$ then reacted in reactor $2$ to dehydrate it into cyclohexanone. The product is passed through heat exchanger $8$ then into separator $2$ where hydrogen is removed as top product and cyclohexanone as bottom and sent into distillation column $1$ after passing through pump $3.$

Perform a MANUAL CALCULATION $($by hand$)$ energy balance to produce cyclohexanone and cyclohexanol from phenol.

USE specific heat capacity: Phenol$=134\mathrm{.}58$ KJ$/$molK $,$ cyclohexanone$=177\mathrm{.}20$KJ$/$molK $,$ Cyclohexanol$=214\mathrm{.}06$ KJ$/$molK$,$ H$2=28\mathrm{.}84$Kj$/$molK

Reactor $1-$ Phenol conversion rate $99\mathrm{.}9\%,$ cyclohexanone selectivity $99\mathrm{.}2\%,$ cyclohexanol selectivity $0\mathrm{.}8\%$

Reactor $2-$ temp $275$C$,$ Phenol Conversion $89\%$ Selectivity for Cyclohexanone $93\%,$Pressure $1$ atm

Mass flowrate$=$ kg$/$hr

Molar flowrate$=$kmol$/$hr

C$6$H$5$OH $+2$H$2=$C$6$H$10$O

C$6$H$10$O $+$ H$2=$ C$6$H$12$O

Reflux ratio $=0\mathrm{.}68$

Efficiency of separator $100\%$

Distillation column $1$ efficiency $90\%$

Distillation column $2$ efficiency$=80\%$

Q$8$ Energy balance around heat exchanger $3$

Stream $11$ in stream $12$ out

stream $11$

temp $40$C $,$ pressure $3$ bar, phenol molar flowrate in kmol$/$hr $=0\mathrm{.}004,$ phenol mass flowrate $=0\mathrm{.}403,$Mole fraction of phenol is $0\mathrm{.}000.$ Cyclohexanone molar flowrate in kmol$/$hr $=2\mathrm{.}129,$ Cyclohexanone mass flowrate $=208\mathrm{.}940,$Mole fraction of Cyclohexanone is $0\mathrm{.}199.$ Cyclohexanol molar flowrate in kmol$/$hr $=2\mathrm{.}146,$ Cyclohexanol mass flowrate $=214\mathrm{.}960,$Mole fraction of Cyclohexanol is $0\mathrm{.}201.$ hydrogen molar flowrate in kmol$/$hr $=6\mathrm{.}421,$ hydrogen mass flowrate $=12\mathrm{.}971,$Mole fraction of hydrogen is $0\mathrm{.}600$

stream $12$

temp $165$C $,$ pressure $3$ bar, phenol molar flowrate in kmol$/$hr $=0\mathrm{.}004,$ phenol mass flowrate $=0\mathrm{.}040,$Mole fraction of phenol is $0\mathrm{.}000.$ Cyclohexanone molar flowrate in kmol$/$hr $=2\mathrm{.}129,$ Cyclohexanone mass flowrate $=208\mathrm{.}940,$Mole fraction of Cyclohexanone is $0\mathrm{.}199.$ Cyclohexanol molar flowrate in kmol$/$hr $=2\mathrm{.}146,$ Cyclohexanol mass flowrate $=214\mathrm{.}960,$Mole fraction of Cyclohexanol is $0\mathrm{.}201.$ hydrogen molar flowrate in kmol$/$hr $=6\mathrm{.}421,$ hydrogen mass flowrate $=12\mathrm{.}971,$Mole fraction of hydrogen is $0\mathrm{.}600$

Q$9$ Energy balance around condenser of distillation column $1$

Stream $12$ in$,$ stream $18$ bottom

stream $12$

temp $165$C $,$ pressure $3$ bar, phenol molar flowrate in kmol$/$hr $=0\mathrm{.}004,$ phenol mass flowrate $=0\mathrm{.}040,$Mole fraction of phenol is $0\mathrm{.}000.$ Cyclohexanone molar flowrate in kmol$/$hr $=2\mathrm{.}129,$ Cyclohexanone mass flowrate $=208\mathrm{.}940,$Mole fraction of Cyclohexanone is $0\mathrm{.}199.$ Cyclohexanol molar flowrate in kmol$/$hr $=2\mathrm{.}146,$ Cyclohexanol mass flowrate $=214\mathrm{.}960,$Mole fraction of Cyclohexanol is $0\mathrm{.}201.$ hydrogen molar flowrate in kmol$/$hr $=6\mathrm{.}421,$ hydrogen mass flowrate $=12\mathrm{.}971,$Mole fraction of hydrogen is $0\mathrm{.}600$

stream $18$

temp $165$C $,$ pressure $4$ bar, phenol molar flowrate in kmol$/$hr $=0\mathrm{.}0039,$ phenol mass flowrate $=0\mathrm{.}362,$Mole fraction of phenol is $1.$ All other components are $0$

Q$10$ Energy balance around reboiler of distillation column $1$

Stream $12$ in$,$ stream $13$ out

stream $12$

temp $165$C $,$ pressure $3$ bar, phenol molar flowrate in kmol$/$hr $=0\mathrm{.}004,$ phenol mass flowrate $=0\mathrm{.}040,$Mole fraction of phenol is $0\mathrm{.}000.$ Cyclohexanone molar flowrate in kmol$/$hr $=2\mathrm{.}129,$ Cyclohexanone mass flowrate $=208\mathrm{.}940,$Mole fraction of Cyclohexanone is $0\mathrm{.}199.$ Cyclohexanol molar flowrate in kmol$/$hr $=2\mathrm{.}146,$ Cyclohexanol mass flowrate $=214\mathrm{.}960,$Mole fraction of Cyclohexanol is $0\mathrm{.}201.$ hydrogen molar flowrate in kmol$/$hr $=6\mathrm{.}421,$ hydrogen mass flowrate $=12\mathrm{.}971,$Mole fraction of hydrogen is $0\mathrm{.}600$

stream $13$

temp $165$C $,$ pressure $4$ bar, phenol molar flowrate in kmol$/$hr $=0\mathrm{.}004,$ phenol mass flowrate $=0\mathrm{.}040,$Mole fraction of phenol is $0\mathrm{.}000.$ Cyclohexanone molar flowrate in kmol$/$hr $=2\mathrm{.}129,$ Cyclohexanone mass flowrate $=208\mathrm{.}940,$Mole fraction of Cyclohexanone is $0\mathrm{.}498$ Cyclohexanol molar flowrate in kmol$/$hr $=2\mathrm{.}1462,$ Cyclohexanol mass flowrate $=214\mathrm{.}960,$Mole fraction of Cyclohexanol is $0\mathrm{.}502.$ All other components $0.$