You are required to design the system of compressors and intercooler for air flowing at $28$ moles$/$second and operating for one month.

The design include calculating the following:

Individual and total compressor work

Sketch of the system $($including location of the intercooler$)$

Intercooler design including:

Number of tubes,

Tube length,

Total heat transfer area,

Shell size $($decide first on shell type$)$

Deciding of utility and total quantity of the utility used

Costing of the system:

Total CAPEX

Total OPEX

Data are on the following pages

Regulations

This is an individual work.

The design needs to be submitted as a pdf$.$

Deadline for submission is Friday $12/01/2024$ at $12pm.$

Late submission is not acceptable.

Air compression

A centrifugal compressor is to be used to compress the air that is supplied to the reactor. Operation is assumed to be adiabatic and irreversible. The work required to compress a mole of gas isentropically from $P_1$ to $P_2$ is given by

$W=\frac{R{T}_s}{-1}[(\frac{P_2}{P_1}{)}^{\frac{-1}{}}-1]$

where $T_s$ is the inlet temperature $(K)$ and

$=\frac{C_p}{C_v}=\frac{1}{1-\frac{R}{C_p}}=1\mathrm{.}4$ for air.

The actual work is given by

$W_{\text{a}\text{c}\text{t}}=\frac{W}{}$

where $$ is the isentropic efficiency of the compressor. A value of $0\mathrm{.}82$ for $$ can be assumed. Note that the outlet $($discharge$)$ temperature $T_D$ will be given by

$W_{\text{a}\text{c}\text{t}}=C_p[T_D-T_S]$

The discharge temperature from any compression stage should not exceed $170C.$ A four stage compressor will be required with at least one intercooler.

A preliminary sizing of the intercoolers will be necessary. An overall heat transfer coefficient of $0\mathrm{.}15k\frac{W}{m^2(K)}$ can be used for this calculation.

Heat Exchanger tube data

$\backslash$table$[[$Material$,$stainless steel$],[$tube outside diameters $(mm),16,20$ or $25],[$Tube lengths $(m),1\mathrm{.}22,1\mathrm{.}83,2\mathrm{.}44,$ or $3\mathrm{.}66],[$wall thickness,$1\mathrm{.}6mm$