Figure $1.$ Two connecting gas chambers in fully insulated environment

As a design engineer, you are required to determine PVT relationship of a gas in a set of tanks connected by valve, as shown in Figure $1.$ Tank A contains $C{O}_2$ at temperature of $80C$ and pressure of $200$kPa, while Tank $B$ which is kept at vacuum. Both tank A and $B$ has volume of $2$ litre each and connected by a tube. The valve at the connecting tube is kept closed at the beginning of the process.

a$)$ Categorize system, boundary and environment for Chamber $A$ at this point. Determine as well type of system, assumptions and thermodynamic evaluation for this condition. $($Hint: provide your sketch for clarity$).$

b$)$ Calculate the mass occupied by $C{O}_2$ at chamber $A.$

c$)$ The valve at the tube is now opened for the gas in Tank A migrates into Tank B$.$ The current equalized pressure is observed to be at $90$Kpa. Determine the new temperature achieved by the gas in this setup.

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CONFIDENTIAL

ASSIGNMENT $1/$CHE$433$

d$)$ Determine value of mass in Question $($b$)$ under real gas system. Calculate percentage deviation between ideal and real gas setup in both cases. $($Note: show the value of $Z$ obtained from the compressibility chart$).$

e$)$ Suppose that you are now looking for the value of heat capacity. Evaluate whether there is heat capacity changing before and after the depressurization setup. Justify your answer accordingly. $($Hint: no calculation needed$).$

f$)$ Suppose that the gas in chamber $A$ is replaced with Argon. The gas is undergone similar process as presented in Question $($b$)$ to $($c$).$ Identify whether there is significant change in heat capacity before and after the depressurization setup for this new gas species. Justify your answer accordingly. $($Hint: no calculation needed$).$

$(30$ marks$)$