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Exhaust gases (c = 1.12 k J/kg K) flowing through a tubular heat exchanger at the rate of 1200 kg/hr are cooled from 400 degree Celsius to 120 degree Celsius. This cooling is affected by water (c= 4.18 k J/kg K) that enters the system at 10 degree Celsius at the rate of 1500 kg/hr. If the overall heat transfer coefficient is 500 k J/m2 hr degree, what heat exchanger area is required to handle the load for parallel flow arrangement?
  • a)
    7.547 m2
  • b)
    6.547 m2
  • c)
    5.547 m2
  • d)
    4.547 m2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Exhaust gases (cP= 1.12 k J/kg K) flowing through a tubular heat excha...
(t h 1 – t h 2) = m (t c 2 – t c 1).
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Exhaust gases (cP= 1.12 k J/kg K) flowing through a tubular heat excha...
Given data:
- Exhaust gases flow rate = 1200 kg/hr
- Exhaust gases specific heat capacity = 1.12 kJ/kg K
- Exhaust gases initial temperature = 400 °C
- Exhaust gases final temperature = 120 °C
- Water flow rate = 1500 kg/hr
- Water specific heat capacity = 4.18 kJ/kg K
- Water initial temperature = 10 °C
- Overall heat transfer coefficient = 500 kJ/m²hr °C

To find: Heat exchanger area required for parallel flow arrangement

Solution:
1. Calculate the heat transferred from exhaust gases to water:
- Mass flow rate of exhaust gases = 1200 kg/hr
- Specific heat capacity of exhaust gases = 1.12 kJ/kg K
- Temperature difference of exhaust gases = 400 - 120 = 280 °C
- Heat transferred from exhaust gases to water = Mass flow rate of exhaust gases x Specific heat capacity of exhaust gases x Temperature difference of exhaust gases
= 1200 x 1.12 x 280
= 376,320 kJ/hr

2. Calculate the heat transferred from water to exhaust gases:
- Mass flow rate of water = 1500 kg/hr
- Specific heat capacity of water = 4.18 kJ/kg K
- Temperature difference of water = 120 - 10 = 110 °C
- Heat transferred from water to exhaust gases = Mass flow rate of water x Specific heat capacity of water x Temperature difference of water
= 1500 x 4.18 x 110
= 825,540 kJ/hr

3. Determine the overall heat transfer rate:
- Overall heat transfer rate = Minimum of (Heat transferred from exhaust gases to water, Heat transferred from water to exhaust gases)
= Minimum of (376,320, 825,540)
= 376,320 kJ/hr

4. Calculate the heat transfer area:
- Heat transfer area = Overall heat transfer rate / (Overall heat transfer coefficient x Temperature difference between exhaust gases and water)
= 376,320 / (500 x 280)
= 0.0269 m²

5. Convert heat transfer area to square meters:
- 1 m² = 10.764 ft²
- Heat transfer area = 0.0269 x 10.764
= 0.2896 ft²

6. Round off the answer to two decimal places:
- Heat exchanger area required = 0.29 ft²
- Heat exchanger area required = 4.55 m² (approximately)
- Therefore, the correct option is (d) 4.547 m².
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Exhaust gases (cP= 1.12 k J/kg K) flowing through a tubular heat exchanger at the rate of 1200 kg/hr are cooled from 400 degree Celsius to 120 degree Celsius. This cooling is affected by water (cP= 4.18 k J/kg K) that enters the system at 10 degree Celsius at the rate of 1500 kg/hr. If the overall heat transfer coefficient is 500 k J/m2hr degree, what heat exchanger area is required to handle the load for parallel flow arrangement?a)7.547 m2b)6.547 m2c)5.547 m2d)4.547 m2Correct answer is option 'D'. Can you explain this answer?
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Exhaust gases (cP= 1.12 k J/kg K) flowing through a tubular heat exchanger at the rate of 1200 kg/hr are cooled from 400 degree Celsius to 120 degree Celsius. This cooling is affected by water (cP= 4.18 k J/kg K) that enters the system at 10 degree Celsius at the rate of 1500 kg/hr. If the overall heat transfer coefficient is 500 k J/m2hr degree, what heat exchanger area is required to handle the load for parallel flow arrangement?a)7.547 m2b)6.547 m2c)5.547 m2d)4.547 m2Correct answer is option 'D'. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about Exhaust gases (cP= 1.12 k J/kg K) flowing through a tubular heat exchanger at the rate of 1200 kg/hr are cooled from 400 degree Celsius to 120 degree Celsius. This cooling is affected by water (cP= 4.18 k J/kg K) that enters the system at 10 degree Celsius at the rate of 1500 kg/hr. If the overall heat transfer coefficient is 500 k J/m2hr degree, what heat exchanger area is required to handle the load for parallel flow arrangement?a)7.547 m2b)6.547 m2c)5.547 m2d)4.547 m2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Exhaust gases (cP= 1.12 k J/kg K) flowing through a tubular heat exchanger at the rate of 1200 kg/hr are cooled from 400 degree Celsius to 120 degree Celsius. This cooling is affected by water (cP= 4.18 k J/kg K) that enters the system at 10 degree Celsius at the rate of 1500 kg/hr. If the overall heat transfer coefficient is 500 k J/m2hr degree, what heat exchanger area is required to handle the load for parallel flow arrangement?a)7.547 m2b)6.547 m2c)5.547 m2d)4.547 m2Correct answer is option 'D'. Can you explain this answer?.
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