In class we examined how acctio acid is produce via the following reaction

$3C_2{H}_{5}OH+2N{a}_{2}C{r}_2{O}_7+8H_{2}S{O}_4$

$3C{H}_3\frac{C}{O}OH+2Cr(S{O}_4{)}_3+2N{a}_{2}S{O}_4+11H_{2}O$

Fresh $C_2{H}_{3}OH$ is fed in one inlet stream at a rate of $1000\mathrm{.}0hr(1)$ freh $NaC{r}_2{O}_2$ and $H_{2}S{O}_4$ are fed in a second inlet stream $(2).$ A recyele stream $(4)$ meets the two inlet strenms to mix before the reactor. The reaction only occurs in the reactor. After the reactor the stream eniers a separanor from which threestreams oxit one that contains only acetic acid, $C{H}_3\frac{C}{O}O{H}_{,}(6),$ one than contains some excess $H_{2}S{O}_4$ and $C_2{H}_{6}OH,$ which are recycled $(4),$ and one that contains all the other waste products and some excess reactants $(7)$ Note, this waste strean $(7)$ can contain CaH,OH$,N{a}_{2}C{r}_2{O}_7,H_{2}S{O}_4,$ and other products, but not $C{H}_3\frac{C}{O}OH$

The overnll systems tractional conversion of $C_2{H}_{3}OH$ is $90,0\%($this is the comyerion tor streams $1$ and $7).$

The total recycle $(4)$ mass flow mite is equal to the fresh inlet mass flow rate of $C_{2}H,OH(1).$

The inflow rate of fresh $H_{3}S{O}_4$ and $N{a}_{2}C{r}_2{O}_7($Sicam $2)$ are in exees of the stoichiometrie amounts required by the fresh flow rate of $C_2{H}_{5}OH($Stream $1)$ by $20\mathrm{.}0g$ and $10\mathrm{.}0\%$ respectively.

The recycle stream $(4)$ contuins $940$ wi$,H_{2}S{O}_4$ and the rest is $C_2{H}_{2}OH$

Assume stendy state for this process.

$\backslash$table$[[n([mor],[mr]),1,2,3,4,5,6,1,x,$Mw $($zyol$)],[C_2{H}_{3}OH,,x,,,,x,,,46],[H_{2}S{O}_4,$r$,$HI$,,$H$.,,x,,,98],[$Nacrop$,*,12,,*,,|x|,,,210],[$criso$,,x,x,$A$,x,,x,,,140],[$Na sod,a$,*,$x$,|x|,,*,,,142],[$Hio$,$x$,1,$x$,$x$,,(2),,,18],[$CH$,$COOH,A$.,|x|,|,$te$,,,(x),,60]]$

Determine the molar flowrates $[$molhrl in each stream and the molar fractions of the compounds in the waste stream.

a$)$ For the overall system

Draw the system

ii$.$ List all necessary assumptions

iii. Write the general accounting equation

iv$.$ Write the mass conservation equation for all the constituents