QUESTION $1$

A triple effect forward feed evaporator concentrates a sugar solution from $8$ mass $\%$ to $35\%.$ The feed enters at $30000k\frac{g}{h}$ at $27C$ and the pressure in the vapour space of the third effect is $16$ kPa $.$ Fresh saturated steam is available at $205$ kPa $.$ The liquid heat capacity is given by $C_p=4\mathrm{.}19-2\mathrm{.}55(k\frac{J}{k}g.K)$ where x is the mass fraction of sugar. It can be assumed that the BPR$\text{'}$s can be neglected. The overall heat transfer coefficients are: $U_1=3\mathrm{.}123$;$U_2=1\mathrm{.}987$ and $U_3=1\mathrm{.}136k\frac{W}{m^2}.K.$

Do only one iteration.

$1\mathrm{.}1.$ Draw a flowsheet for this process.

$1\mathrm{.}2.$ Determine the flow rates of the vapour and liquid streams for each evaporator.

$1\mathrm{.}3.$ Calculate the Cp$\text{'}$s in each effect. List all assumptions.

$(4)$

$1\mathrm{.}4.$ Determine the heat balance around each evaporator.

$(21)$