Hello please show your steps step by step. Do not use AI$,$ Chatgpt answers will be down voted, thank you :$)$

A triple effect forward feed evaporator concentrates a sugar solution from $8$ mass $\%$

to $35\%.$ The feed enters at $30000$k$($g$)/($h$)$ at $27\backslash$deg C 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 $.$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$\_(3)=1\mathrm{.}136$k$($W$)/($m$^(2)).$K$.$

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