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The popularity of orange juice, especially as a breakfast drink,makes it an important factor in the economy of orange-growingregions.Marketed juice has either gone through a process in which it wasconcentrated, or it may be a not-from-concentrate juice. Frozenconcentrated juice is reconstituted before consumption. Althoughconcentrated juices are less popular in the United States than atone time, they still have a major segment of the market.The approaches to concentrating orange juice include evaporation,freeze concentration, and reverse osmosis. Here we examine theevaporation process by focusing only on two constituents in thejuice: solids and water.Fresh orange juice contains approximately 10.0 wt% solids (sugar,citric acid and other indigenous ingredients) and frozenconcentrate contains approximately 45.0 wt% solids. Thefrozen concentrate is obtained by evaporating water from the freshjuice to produce a mixture that is approximately 65.0 wt%solids. However, so that the flavor of the concentrate will closelyapproximate that of fresh juice, the concentrate from theevaporator is blended with fresh orange juice (and other minoradditives) to produce a final concentrate that isapproximately 45.0 wt% solids.Assume a basis of 500.0 kg of fresh juice fed to theprocess.
Degrees of Freedom
Analyze the incompletely labeled flow diagram shown below andperform degree-of-freedom analyses on the overall system, thebypass split, the evaporator, and the mixing point.Perform each analysis independently of the others and only useinformation given in the problem statement.Calculate the degrees of freedom corresponding to each system
Overall System:
Mixing Point:
Bypass Split:
Evaporator:
Mass of Concentrate
What is the mass of final concentrate produced?Enter your answer in kilograms into the fifth answer field inaccordance with the question statement. kg
Bypass Fraction
What is the fraction of fresh juice that bypasses theevaporator?Enter your answer into the sixth answer field in accordance withthe question statement.
The popularity of orange juice, especially as a breakfast drink, makes it an important factor in the economy of orange-growing regions. Marketed juice has either gone through a process in which it was concentrated, or it may be a not-from-concentrate juice. Frozen concentrated juice is reconstituted before consumption. Although concentrated juices are less popular in the United States than at one time, they still have a major segment of the market. The approaches to concentrating orange juice include evaporation, freeze concentration, and reverse osmosis. Here we examine the evaporation process by focusing only on two constituents in the juice: solids and water. Fresh orange juice contains approximately 10.0 wt% solids (sugar, citric acid and other indigenous ingredients) and frozen concentrate contains approximately 45.0 wt% solids. The frozen concentrate is obtained by evaporating water from the fresh juice to produce a mixture that is approximately 65.0 wt% solids. However, so that the flavor of the concentrate will closely approximate that of fresh juice, the concentrate from the evaporator is blended with fresh orange juice (and other minor additives) to produce a final concentrate that is approximately 45.0 wt% solids. Assume a basis of 500.0 kg of fresh juice fed to the process. Degrees of Freedom Analyze the incompletely labeled flow diagram shown below and perform degree-of-freedom analyses on the overall system, the bypass split, the evaporator, and the mixing point. Perform each analysis independently of the others and only use information given in the problem statement. Calculate the degrees of freedom corresponding to each system. BYPASS SPLIT Overall System: Mixing Point: Bypass Split: Evaporator: 1 i 1 EVAPORATOR MIXING POINT
Mass of Concentrate What is the mass of final concentrate produced? Save for Later kg Bypass Fraction What is the fraction of fresh juice that bypasses the evaporator? Save for Later Attempts: 0 of 3 used Submit Answer Attempts: 0 of 3 used Submit Answer