A single-effect falling film type evaporator is used to concentrate orange juice from $14 \%$ to $45 \%$ solids. The evaporator utilizes a mechanical refrigeration cycle using ammonia as refrigerant, for heating and for condensing the vapors. The refrigeration cycle is operated at a high pressure of $200 \mathrm{psia}(1.379 \mathrm{MPa})$ and a low side pressure of $50 \mathrm{psia}(344.7 \mathrm{kPa})$. The evaporator is operated at a vapor temperature of $90^{\circ} \mathrm{F}\left(32.2^{\circ} \mathrm{C}\right)$. Feed enters at $70^{\circ} \mathrm{F}$ $\left(21.1^{\circ} \mathrm{C}\right)$. The ratio of insoluble to soluble solids in the juice is 0.09 and the soluble solids may be considered as glucose and sucrose in 70:30 ratio. Consider the $\Delta \mathrm{T}$ as the log mean $\Delta \mathrm{T}$ between the liquid refrigerant temperature and the feed temperature at one point and the hot refrigerant gas temperature and the concentrated liquid boiling temperature at the other point. The evaporator has a heat transfer surface area of $100 \mathrm{ft}^2\left(9.29 \mathrm{~m}^2\right)$, and an overall heat transfer coefficient of $300 \mathrm{BTU} /\left(\mathrm{h} \$ \mathrm{ft}^2 \${ }^{\circ} \mathrm{F}\right)$ or $1703 \mathrm{~W} /\left(\mathrm{m}^2 \$ \mathrm{~K}\right)$ may be expected. Calculate:
(a) The evaporator capacity in weight of feed per hour.
(b) Tons of refrigeration capacity required for the refrigeration unit based on the heating requirement for the evaporator.
(c) Additional cooling required for condensation of vapors if the refrigeration unit is designed to provide all of the heating requirements for evaporation.