In acetaldehyde production plant, partial condenser is used to separate

poncondensable and condensable components. The mixture containing ethanol

$(EtOH),$ water, acetaldehyde $($AcAl$),$ ethyl acetate $($EtAc$),$ butanol $($BuOH$),$ acetic

acid $($AcAc$),$ and hydrogen is fed to the partial condenser at a rate of $747\mathrm{.}882$mol

kmo$\frac{l}{h},$ and at $1$atm,$59C.$ It contains $150\mathrm{.}27$kmo$\frac{l}{h}$ ethanol, $50\mathrm{.}24$kmo$\frac{l}{h}$

water, $260\mathrm{.}11$kmo$\frac{l}{h}$ acetaldehyde, $5\mathrm{.}42$kmo$\frac{l}{h}$ ethyl Acetate, $2\mathrm{.}72$kmo$\frac{l}{h}$

butanol, $2\mathrm{.}72$kmo$\frac{l}{h}$ acetic Acid, and $276\mathrm{.}4-$kmo$\frac{l}{h}$ hydrogen. The

noncondensable component and some part of the condensable components are

separated as vapor product.

a$.$ The partial condenser is divided into five sections and vapor component

distribution is given in Table $1.$ Write liquid flow rates leaving section and

condensed amount in each section in Table $1(b),$ and calculate $T_{4.}$

b$.$ Condensation is carried out by a suitable coolant at a total mass flow rate of

$86\mathrm{.}38k\frac{g}{s}.$ The inlet and outlet temperatures of the coolant are $-20$ and $-5C,$

respectively. The specific heat of capacity of coolant is $3\mathrm{.}301k\frac{J}{k}gK.$ The

temperatures of the coolant at each point are calculated and given in Table $1.$ By

using heat and mass transfer resistances $(UT{)}_{\text{a}\text{v}\text{e}}$ values are determined and

tabulated in Table $2,$ calculate the total heat transfer area.

Table $1($a$).$ Vapor component distribution $$ Noncondersed

Table $2.$ Heat loads and heat transfer area of each section

for

$y_{Th}^{T_4}=0,334$

$y_{\text{E}\text{D}\text{H}}=0,062$

$y_w=0,0096$

$y_{\text{A}\text{C}\text{A}\text{l}}=0,391$

$y_{\text{E}\text{t}\text{A}\text{C}}=0,0031$

$y_{\text{D}\text{J}\text{U}\text{H}}=0,00015$

$y_{\text{A}\text{C}\text{A}\text{C}}=0,00035$

Table $3.$ The Antoine Constants