Question $2$

Consider a desalination process in a vapor$-$recompression evaporator. Sea water mass concentration$)$ enters the evaporator $(F)$ at a flow rate of $100k\frac{g}{h}r$ and $27C.$ The liquid$-$vapor inside the evaporator are at thermodynamic equilibrium at $80$kPa. The vapor produced on evaporation $(V)$ enters the compressor and leaves $)$ at a higher pressure of $200$kPa and at a temperature of $600K.$ Stream $S_1$ enters the evaporator $($to supply the energy for evaporation$)$ and leaves $(S_2),$ also at $200$kPa. The salty concentrate $(G)$ leaves the evaporator at a mass flow rate of $60k\frac{g}{h}r.$ Assume steady$-$state, no heat lost to the surroundings and neglect kinetic, potential and mixing energies. Assume that the properties of sea water and pure water are identical.

$($a$)$ Find the temperature and physical state of streams $V$ and $G.$

$($b$)$ Find the salt concentration in stream $G.$

$($c$)$ Find the superheat degree of and volumetric flow rate of stream $S_1.$

$($d$)$ Find the power of the compressor.

$($e$)$ Find the temperature and physical state of stream $S_1.$