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

$3C{H}_3\frac{C}{O}OH+2C{r}_2(S{O}_4{)}_3+2N{a}_{2}S{O}_4+11H_{2}O$

Fresh $C_2{H}_{5}OH$ is fed in one inlet stream at a rate of $1000\mathrm{.}0ghr(1)$; fresh $N{a}_{2}C{r}_2{O}_7$ and $H_{2}S{O}_4$ are fed in a second inlet stream $(2).$ A recycle stream $(4)$ meets the two inlet streams to mix before the reactor. The reaction only occurs in the reactor. After the reactor the stream enters a separator from which three streams exit; one that contains only acetic acid, $C{H}_3\frac{C}{O}OH,(6),$ one that contains some excess $H_{2}S{O}_4$ and $C_2{H}_{5}OH,$ which are recycled $(4),$ and one that contains all the other waste products and some excess reactants $(7).$ Note, this waste stream $(7)$ can contain $C_2{H}_{5}OH,N{a}_{2}C{r}_2{O}_7,H_{2}S{O}_4,$ and other products, but not $C{H}_3\frac{C}{O}OH.$

The overall systems fractional conversion of $C_2{H}_{5}OH$ is $90\mathrm{.}0\%($this is the conversion for streams $1$ and $7).$

The total recycle $(4)$ mass flow rate is equal to the fresh inlet mass flow rate of $C_2{H}_{5}OH(1).$

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

$-i.e{n}_{H2SO4}^{}=1\mathrm{.}20\frac{0}{3}{n}_{CZH5OH}$

The recycle stream $(4)$ contains $94\mathrm{.}0$ wt $\%H_{2}S{O}_4,$ and the rest is $C_2{H}_{5}OH.$

Assume steady state for this process.

$\backslash$table$[[h(\frac{\text{m}\text{o}\text{l}}{hr}),1,2,3,4,5,6,7,$x$?,$MW $($e$/$mol$)],[C_2{H}_{3}OH,,x,,,,x,,,46],[H_{2}S{O}_4,x,,,,,$x$,,,98],[Na,$CrO,$x,,,x,,x,,,210],[Cr(S{O}_2{)}_2,x,x,x,$x$,,$x$,,,340],[N{a}_{2}S{O}_4,$x$,x,x,x,,x,,,142],[H,O,$x$,x,x,$A$,,$x$,,,18],[CH,\frac{C}{O}OH,*,$a$,x,$x$,,,x,,60]]$

b$)$ For the mixer

i$.$ Draw the system

ii$.$ List all necessary assumptions

iii. Write the general accounting equation

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