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In a certain cooling dehumidification operation, 360 kg/h of air (DBT 35°C & RH 50%) is blown over a cooling coil having apparatus dew point of 5°C, assuming a bypass factor 15% determine outlet conditions of air
  • a)
    7°C
  • b)
    12°C
  • c)
    9.5°C
  • d)
    14°C
Correct answer is option 'C'. Can you explain this answer?
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Understanding the Problem
To determine the outlet conditions of air after passing over a cooling coil, we need to analyze the cooling and dehumidification process using the given parameters:
- Air Flow Rate: 360 kg/h
- Dry Bulb Temperature (DBT): 35°C
- Relative Humidity (RH): 50%
- Apparatus Dew Point (ADP): 5°C
- Bypass Factor (BF): 15%
Key Concepts
- Apparatus Dew Point (ADP): This is the temperature at which air begins to condense moisture when cooled.
- Bypass Factor (BF): This indicates the fraction of air that does not come in contact with the cooling coil and thus does not get cooled to the ADP.
Calculating Outlet Conditions
1. Effective Cooling Temperature:
- The effective cooling temperature can be calculated using the formula:
- Effective Temperature = ADP + (BF x (DBT - ADP))
- Plugging in the values:
- Effective Temperature = 5 + (0.15 x (35 - 5))
- Effective Temperature = 5 + (0.15 x 30) = 5 + 4.5 = 9.5°C
2. Final Outlet Conditions:
- The calculated effective temperature of 9.5°C indicates the final outlet condition of the air after passing over the cooling coil.
Conclusion
The outlet conditions of the air after going over the cooling coil with a bypass factor of 15% results in an effective cooling temperature of 9.5°C, confirming that option 'C' is correct.
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