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Hot air enters a single pass counter flow heat exchanger at 700 K and leaves at 400 K the cooling water enters at 300 K and leaves at 600 K. The LMTD for the heat exchanger is
  • a)
    100 K
  • b)
    156.5 K
  • c)
    144.3 K
  • d)
    200 K
Correct answer is option 'A'. Can you explain this answer?
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Hot air enters a single pass counter flow heat exchanger at 700 K and ...
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Hot air enters a single pass counter flow heat exchanger at 700 K and ...
Given:
Hot air enters the heat exchanger at 700 K and leaves at 400 K.
Cooling water enters the heat exchanger at 300 K and leaves at 600 K.

To calculate the Logarithmic Mean Temperature Difference (LMTD), we can use the formula:

LMTD = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2)

Where:
ΔT1 = hot air inlet temperature - hot air outlet temperature
ΔT2 = cooling water outlet temperature - cooling water inlet temperature

Calculating the values:
ΔT1 = 700 K - 400 K = 300 K
ΔT2 = 600 K - 300 K = 300 K

Substituting the values into the formula:
LMTD = (300 K - 300 K) / ln(300 K / 300 K) = 0 / ln(1) = 0

Therefore, the LMTD for the heat exchanger is 0.
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Hot air enters a single pass counter flow heat exchanger at 700 K and leaves at 400 K the cooling water enters at 300 K and leaves at 600 K. The LMTD for the heat exchanger isa)100 Kb)156.5 Kc)144.3 Kd)200 KCorrect answer is option 'A'. Can you explain this answer?
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Hot air enters a single pass counter flow heat exchanger at 700 K and leaves at 400 K the cooling water enters at 300 K and leaves at 600 K. The LMTD for the heat exchanger isa)100 Kb)156.5 Kc)144.3 Kd)200 KCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Hot air enters a single pass counter flow heat exchanger at 700 K and leaves at 400 K the cooling water enters at 300 K and leaves at 600 K. The LMTD for the heat exchanger isa)100 Kb)156.5 Kc)144.3 Kd)200 KCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hot air enters a single pass counter flow heat exchanger at 700 K and leaves at 400 K the cooling water enters at 300 K and leaves at 600 K. The LMTD for the heat exchanger isa)100 Kb)156.5 Kc)144.3 Kd)200 KCorrect answer is option 'A'. Can you explain this answer?.
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