Formaldehyde, is a versatile chemical with numerous industrial applications. It can be efficiently produced from methanol through a catalytic oxidation reaction and methanol dehydrogenation. This method offers a cost$-$effective and widely used route for the production of formaldehyde, which serves as a crucial building block in the synthesis of resins, disinfectants, and various other chemical products. In a chemical process that produces formaldehyde, a vaporized fresh feed stream $(1)$ of methanol and oxygen $(85$C; $1$ atm$)$ ismet with a vaporized methanol recycle stream $()$ from the first distillation column. The mixed streams$(2)$ are fed to a silver catalytic packed bed reactor $($PBR$)($R$-101)$ isothermally maintained at $5$ atm and $400$C$.$ The reactor product stream $(3)$ has a flowrate of USE YOUR GROUP FLOWRATE and contains $35\mathrm{.}60$ wt$\%$ Formaldehyde, $38\mathrm{.}10$ wt$\%$ Water, $24\mathrm{.}40$ wt$\%$ Methanol, $1\mathrm{.}10$ wt$\%$ Oxygen and $0,80$ wt$\%$ Hydrogen. The two reactions occur simultaneously in the presence of a silver catalyst in the PBR are as follows and the fractional conversion of methanol is $0\mathrm{.}655\mathrm{.}3+1222+2(1)32+2(2)23+12222+2+2(3)$ The reactor effluents are separated using a distillation column $($T$-101)$ set at $(63\mathrm{.}5$C; $1$ atm$)$ in which the overhead product $(4)$ is gases $($Oxygen$,$ Hydrogen, Methanol, Water and Formaldehyde$)$ while the bottoms product $(5)$ contains $1\%$ formaldehyde, $99\mathrm{.}1\%$ methanol and $99\mathrm{.}1\%$ water from the reactor. After separation, the bottom stream is then heated $(6)$ to match the temperature and pressure of the feed stream before parts of it is purged and recycled back to react. The recycle stream $()$ contains $98\mathrm{.}99\%$methanol, $28\mathrm{.}99\%$ formaldehyde and $20\mathrm{.}4665\%$ water from stream $(6).$ However, stream $(6)$ is removed from the system as a purge stream $()$ to lower accumulation of unreacted methanol, water and formaldehyde in the system. The purge stream contains the balances of methanol, formaldehyde and water that were not recycled from stream $(6).$ The overhead product gases $($Oxygen$,$ Hydrogen, Methanol, Water and Formaldehyde$)$ of stream $(4)$ are further separated by a distillation column $($T$-102)$ set at $(25$C; $1$ atm$)$ to increase the purity of formaldehyde. The overhead product $(7)$ is $1\%$ methanol and $1\%$ water and, all of the hydrogen and oxygen from stream $(4).$ The bottom products $(8).$ is mainly the balance of methanol, water and $1\%$ formaldehyde from stream $(4).$Answer the following questions:$1)$ Determine the mole flow $($mol$/$hr$)$ and the mole$\%$ of the reactor product. $(10)2)$ Determine the moles $($mol$/$hr$)$ and mole $\%$ of methanol and oxygen fed. $(5)3)$ Determine the moles $($mol$/$hr$)$ and mole $\%$ of methanol, oxygen, formaldehyde, water and hydrogen present in each stream. $($Attach an excel sheet showing all the calculations$).(15)4)$ Determine the degrees of freedom of the overall system. Comment on your findings from the degrees of freedom analysis. $(5)5)$ Determine the heat of reaction of methanol oxidation reaction and methanol dehydrogenation. Use the extent of reaction method. What is the overall heat of reaction? $(10)6)$ Use excel to draw a fully labelled block flow diagram $($BFD$)$ for this process. $(10)$Note: $($Name all your streams and label the streams with the values of the mole$/$hr and mole$\%$ you calculated in $1$ and $2)\mathrm{.}7)$ Determine the energy balance on each stream including the purge stream and recycle stream. What is the overall energy balance of the system? $($Attach an excel sheet showing all the calculations$).(20)$Note: Construct an inlet$-$outlet table to show how you arrived to your answer$/$findings$\mathrm{.}8)$ Calculate the percentage yield of formaldehyde. Is the yield good? Justify your answer. $(5)9)$ Determine the heat added$/$removed to keep the reactor temperature constant $400$C$.(5)10)$ Determine the heat supplied by the heater to raise the temperature of methanol from $63\mathrm{.}5$C to $85$C$.[5]11)$ Determine the feasibility and energy costs associated with running the system for a month.