Problem statement: Suppose the condenser operates by partially condensing a gas stream, comprising

$100$ moles per second of acetone from a gas stream. The inlet gas stream enters the condenser at a

temperature of $338K$ and a pressure of $1$ atmosphere. The composition of this stream consists of $67\%$

acetone vapor and $33\%$ nitrogen gas. The condenser discharges two outlet streams: the first outlet stream

is at $293K$ and $1$ atmosphere, with a composition of $9$ mole$\%$ acetone vapor and $91$mole$\%$ nitrogen gas

at a total mole rate of $36$ moles per second. The second outlet stream, exiting the bottom of the condenser

has a total mole rate of $64$ moles per second. This stream exclusively contains acetone liquid at a

temperature of $293K$ and a total pressure of $5$ atmospheres. In this scenario, your task at hand is to

estimate the heat removed from a newly acquired condenser. Specifically, the focus lies in determining the

heat duty in kilojoules per second, which will facilitate further optimization efforts. Secondly, if the condenser

is scaled down by a factor of $0\mathrm{.}2$ show by calculations the implications on the heat duty requirement. Then

optimize the heat duty and list the variables that be used to maximizing heat removal efficiency. Please

note that all calculations are to be performed using Microsoft Excel for accuracy and ease of data analysis.