A gas mixture of ethanoA gas mixture of ethanol $(E),$ acetaldehyde $(A)$ and hydrogen $(H)$ is sent to a condenser to be

cooled to $-40C$ to condense the acetaldehyde and ethanol. Acetaldehyde and ethanol vapors are

saturated in the condenser. The liquid condensate from the condenser, which is $45$mol$\%E,$ is

sent to a distillation column that produces a distillate product containing $97$mol$\%$A and a bottom

product containing $95$mol$\%E.$ The distillate production rate is $2000k\frac{g}{h}.$ The pressure

throughout the process may be taken as $760mmHg$ absolute$.$ A simplified process flowchart is

shown below:

Product

a$)$ Discuss how Gibbs phase rule can be applied to solve the current problem.

$(4$ marks$)$

b$)$ Assuming acetaldehyde and ethanol are similar and they are the only condensables,

determine the vapor composition of the vapor stream leaving the condenser.

$(6$ marks$)$

c$)$ Calculate the molar flow rates $(kmo\frac{l}{h})$ of the liquid condensate and bottom product

streams.