In a process for concentrating 1000kg of freshly extracted orange juice containing 12.5 wt% solids, the juice is strained, yielding 800kg of strained juice and 200kg of pulpy juice.the strained juice is concentrated in a vacuum evaporator to give an evaporated juice of 58% solids.The 200kg of pulpy is bypassed around the evaporator and mixed with the evaporated juice in a mixer to improve the flavor.This final concentrated juice contains 42 wt% solids. A. Draw and completely label a flow chart for this system (show known and unknown variables) B.Provide the following balance: 1. Total/overall balance 2. Solids overall balance 3. Overall balance for your units C. calculate the following 1. Wt% of solids in the strained juice 2. The final amount of concentrated juice 3. Wt% of the solids in the pulpy juice bypass
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A. Flow chart:
```
Freshly Extracted Orange Juice (1000kg, 12.5% solids)
|
Straining Process
(800kg strained, 200kg pulpy)
|
Vacuum Evaporator
(800kg strained juice, 58% solids)
|
Mixing
(800kg strained juice + 200kg pulpy juice, 42% solids)
|
Final Concentrated Juice
```
Known variables:
- Freshly Extracted Orange Juice: 1000kg, 12.5% solids
- Strained Juice: 800kg
- Pulpy Juice: 200kg
- Vacuum Evaporator Concentration: 58% solids
- Final Concentrated Juice: 42% solids
Unknown variables:
- Wt% of solids in strained juice
- Final amount of concentrated juice
- Wt% of solids in the pulpy juice bypass
B. Balances:
1. Total/Overall balance:
Initial Juice = Strained Juice + Pulpy Juice
1000kg = 800kg + 200kg
2. Solids Overall balance:
Initial Solids = Strained Juice Solids + Pulpy Juice Solids
1000kg * 0.125 = (800kg * Strained Juice Solids) + (200kg * Pulpy Juice Solids)
3. Overall balance for your units:
Initial Mass Flow Rate = Strained Juice Mass Flow Rate + Pulpy Juice Mass Flow Rate
C. Calculations:
1. Wt% of solids in the strained juice:
Solids in strained juice = Strained Juice Mass * Strained Juice Solids
Wt% of solids in strained juice = (Solids in strained juice / Strained Juice Mass) * 100
2. The final amount of concentrated juice:
Total Mass Flow Rate = Strained Juice Mass Flow Rate + Pulpy Juice Mass Flow Rate
Concentrated Juice Mass = Total Mass Flow Rate - Pulpy Juice Mass
3. Wt% of solids in the pulpy juice bypass:
Solids in pulpy juice bypass = Pulpy Juice Mass * Pulpy Juice Solids
Wt% of solids in pulpy juice bypass = (Solids in pulpy juice bypass / Pulpy Juice Mass) * 100
Please provide the values for the masses and solids percentages in order to calculate the actual values for the above calculations.
A. Flow Chart:
Here is a flow chart for the given system:
```
Freshly Extracted
Orange Juice
|
|
|
Straining Process
----------------------
| |
| |
800 kg Strained Juice 200 kg Pulpy Juice
| |
| |
| |
Evaporation Bypass around Evaporator
| |
| |
| |
58% Solids Mixed in a Mixer
Evaporated Juice |
|
|
Final Concentrated Juice
```
Known Variables:
- Freshly Extracted Orange Juice: 1000 kg, 12.5 wt% solids
- Strained Juice: 800 kg
- Pulpy Juice: 200 kg
- Evaporated Juice: 58% solids
- Final Concentrated Juice: 42% solids
Unknown Variables:
- Wt% of solids in the strained juice
- Final amount of concentrated juice
- Wt% of solids in the pulpy juice bypass
B. Balances:
1. Total/Overall Balance:
Total Input = Total Output
Freshly Extracted Orange Juice (1000 kg) = Strained Juice (800 kg) + Pulpy Juice (200 kg) + Evaporated Juice + Final Concentrated Juice
2. Solids Overall Balance:
Solids Input = Solids Output
Freshly Extracted Orange Juice (1000 kg * 0.125) = Strained Juice (800 kg * x%) + Pulpy Juice (200 kg * y%) + Evaporated Juice (z%) + Final Concentrated Juice (42%)
3. Overall Balance for Units:
Mass Input = Mass Output
Freshly Extracted Orange Juice (1000 kg) = Strained Juice (800 kg) + Pulpy Juice (200 kg) + Evaporated Juice + Final Concentrated Juice
C. Calculations:
1. Wt% of solids in the strained juice:
Based on the given, we know that the strained juice is obtained from freshly extracted orange juice containing 12.5 wt% solids. Therefore, the wt% of solids in the strained juice is also 12.5%.
2. The final amount of concentrated juice:
To calculate the final amount of concentrated juice, we can use the overall balance equation from part B:
Freshly Extracted Orange Juice (1000 kg) = Strained Juice (800 kg) + Pulpy Juice (200 kg) + Evaporated Juice + Final Concentrated Juice
Rearranging the equation:
Final Concentrated Juice = Freshly Extracted Orange Juice - (Strained Juice + Pulpy Juice + Evaporated Juice)
Plugging in the values:
Final Concentrated Juice = 1000 kg - (800 kg + 200 kg + Evaporated Juice)
The value of Evaporated Juice is not mentioned, so we cannot provide the exact final amount of concentrated juice without that information.
3. Wt% of the solids in the pulpy juice bypass:
The wt% of solids in the pulpy juice bypass can be calculated using the overall solids balance equation from part B:
Freshly Extracted Orange Juice (1000 kg * 0.125) = Strained Juice (800 kg * x%) + Pulpy Juice (200 kg * y%) + Evaporated Juice (z%) + Final Concentrated Juice (42%)
Since the value of Evaporated Juice is not mentioned, we cannot calculate the wt% of solids in the pulpy juice bypass without that information.
Note: Without the specific values of the Evaporated Juice and the necessary additional information, we cannot fully calculate all the required values.