In a dry fruit processing plant, incoming fresh apricots first go through a conveyer belt separating twigs, branches, and leaves. $6\%$ by weight of the original fruit is lost in this first step. Then the apricots are dried from an $80\%$ moisture content to an $85\%$ total dry matter. What is the amount of water to be removed from each $500kg$ of fresh apricot? What is the amount of dried apricots produced? Try to express the result as product yield.

You have to prepare a sour cherry nectar by reconstituting concentrated cherry juice. The concentrated juice has a brix of $65($Brix is a measure of the total solids in a liquid$),$ while the final nectar has a total solid content of $11\%.$ Table sugar is added to have a $5\%$ sucrose concentration in the final nectar. If the initial juice concentrate is $1000k\frac{g}{h},$ calculate the amount of water and sucrose to be added; and the final nectar amount. Consider there is $25\%$ sucrose in the starting concentrated juice. Consider the added sucrose is anhydrous.

Develop a question text for an example of mass balances in food industry and solve it with its scheme.

NOTE: For each exercise make the schematic diagram of the processes and complete the processing schemes with all the flow rates and related compositions for all of the inlet and outlet streams. Provide the resolutions for the given assignment in Word or PowerPoint, with verbal explanations on all solution steps written as text. Also, it is suggested $($even though not compulsory$)$ to repeat the mathematical calculations in an Excel sheet and submit the excel file together with the Word or PPT$.$