QUESTION $2$

$($PO$2,$ CO$2,$ C$4)$

A partition separates Vessels A and B$.$ Vessel A holds $2$ kg of steam at $1$ MPa and $400C,$ while Vessel B contains $3$ kg of a saturated liquid$-$vapor mixture with a vapor mass fraction of $70\%$ at $170C.$ When the partition is removed, the contents of both vessels are allowed to mix until mechanical and thermal equilibrium is reached. The pressure in the final state is $325$ kPa $.$

$($a$)$ Justify two appropriate assumptions to analyze this system.

$(2$ marks$)$

$($b$)$ Determine the temperature and quality of the steam $($if mixture$)$ at the final state.

$(13$ marks$)$

$($c$)$ Determine the amount of heat lost from the vessels.

$(2$ marks$)$

$($d$)$ Infer how heat transfer would impact the final state of the system using the principles of the first law of thermodynamics.

$(3$ marks$)$