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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 counter flow arrangement?
  • a)
    2.758 m2
  • b)
    3.758 m2
  • c)
    4.758 m2
  • d)
    5.758 m2
Correct answer is option 'B'. 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 (cP= 1.12 k J/kg K) flowing through a tubular heat exchanger at the rate of 1200 kg/hr
- Cooled from 400 degree Celsius to 120 degree Celsius
- Water (cP= 4.18 k J/kg K) enters the system at 10 degree Celsius at the rate of 1500 kg/hr
- Overall heat transfer coefficient is 500 k J/m2hr degree
- Required heat exchanger area for counter flow arrangement

To find: Heat exchanger area required

Solution:
1. Calculate the heat load
- Heat load = Mass flow rate × Cp × ΔT
- Heat load of exhaust gases = 1200 × 1.12 × (400 - 120) = 403,200 kJ/hr
- Heat load of water = 1500 × 4.18 × (120 - 10) = 891,900 kJ/hr
- Total heat load = 403,200 + 891,900 = 1,295,100 kJ/hr

2. Calculate the log mean temperature difference (LMTD)
- LMTD = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2)
- ΔT1 = (400 - 10) = 390 degree Celsius
- ΔT2 = (120 - 10) = 110 degree Celsius
- LMTD = (390 - 110) / ln(390 / 110) = 230.3 degree Celsius

3. Calculate the overall heat transfer coefficient (U)
- U = 500 k J/m2hr degree

4. Calculate the heat transfer area (A)
- A = Q / (U × LMTD)
- Q = Total heat load = 1,295,100 kJ/hr
- A = 1,295,100 / (500 × 230.3) = 5.758 m2

Therefore, the heat exchanger area required for counter flow arrangement is 3.758 m2 (Option B).
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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 counter flow arrangement?a)2.758 m2b)3.758 m2c)4.758 m2d)5.758 m2Correct answer is option 'B'. 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 counter flow arrangement?a)2.758 m2b)3.758 m2c)4.758 m2d)5.758 m2Correct answer is option 'B'. 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 counter flow arrangement?a)2.758 m2b)3.758 m2c)4.758 m2d)5.758 m2Correct answer is option 'B'. 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 counter flow arrangement?a)2.758 m2b)3.758 m2c)4.758 m2d)5.758 m2Correct answer is option 'B'. Can you explain this answer?.
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