A continuous single$-$effect evaporator concentrates $120$ kg$/$min of a $2$ wt$\%$ sugar solution entering at $70\backslash$deg C to a final concentration of $3\mathrm{.}5$ wt $\%.$ The vapor space of the evaporator is at $1$ atm and the steam supplied is saturated steam at $143\mathrm{.}3$ kPa. The overall heat transfer coefficient is U $=1704$ W$/$m$2$K and heat capacity of water is $4\mathrm{.}2$ kJ$/$kgK$.$ Calculate the required heat transfer area. Assume that since the sugar solution is dilute, the properties of the solution can be taken to be the same as those of water$\mathrm{.}65$

$95$

$105$

$125$

$145$