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A heat exchanger is used to heat cold water (CP = 4.18 kJ/kg-K) entering at 15 °C at a rate of 1.2 kg/s by hot air (CP = 1.005 kJ/kg-K) entering at 90 °C at a rate of 2.5 kg/s. The highest rate of heat transfer in the heat exchanger is _____ kW.
  • a)
    188.4
  • b)
    188.44
Correct answer is between '188.4,188.44'. Can you explain this answer?
Verified Answer
A heat exchanger is used to heat cold water (CP = 4.18 kJ/kg-K) enter...
Maximum rate of heat transfer is given by
Qmax=CminTh1-Tc1
Ch=mhcph=2.5×1.005=2.5125 kW/K
Cc=mccpc=1.2×4.18=5.016 kW/K
Cmin =Ch = 2.5125 kW/K
Qmax=2.5125×90-15=188.44 kW
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Most Upvoted Answer
A heat exchanger is used to heat cold water (CP = 4.18 kJ/kg-K) enter...
To find the highest rate of heat transfer in the heat exchanger, we need to calculate the heat transfer rate between the hot air and cold water.

The heat transfer rate (Q) can be calculated using the formula:

Q = m1 * Cp1 * (T1 - T2)

Where:
Q = heat transfer rate (in kW)
m1 = mass flow rate of hot air (in kg/s)
Cp1 = specific heat capacity of hot air (in kJ/kg-K)
T1 = temperature of hot air (in °C)
T2 = temperature of cold water (in °C)

Given:
m1 = 2.5 kg/s
Cp1 = 1.005 kJ/kg-K
T1 = 90 °C
T2 = 15 °C

Substituting the values into the formula, we get:

Q = 2.5 * 1.005 * (90 - 15)

Simplifying the equation, we have:

Q = 2.5 * 1.005 * 75

Q = 188.4375 kW

Therefore, the highest rate of heat transfer in the heat exchanger is approximately 188.44 kW.

Answer: 188.44 kW
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A heat exchanger is used to heat cold water (CP = 4.18 kJ/kg-K) entering at 15 °C at a rate of 1.2 kg/s by hot air (CP = 1.005 kJ/kg-K) entering at 90 °C at a rate of 2.5 kg/s. The highest rate of heat transfer in the heat exchanger is _____ kW.a)188.4b)188.44Correct answer is between '188.4,188.44'. Can you explain this answer?
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A heat exchanger is used to heat cold water (CP = 4.18 kJ/kg-K) entering at 15 °C at a rate of 1.2 kg/s by hot air (CP = 1.005 kJ/kg-K) entering at 90 °C at a rate of 2.5 kg/s. The highest rate of heat transfer in the heat exchanger is _____ kW.a)188.4b)188.44Correct answer is between '188.4,188.44'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A heat exchanger is used to heat cold water (CP = 4.18 kJ/kg-K) entering at 15 °C at a rate of 1.2 kg/s by hot air (CP = 1.005 kJ/kg-K) entering at 90 °C at a rate of 2.5 kg/s. The highest rate of heat transfer in the heat exchanger is _____ kW.a)188.4b)188.44Correct answer is between '188.4,188.44'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A heat exchanger is used to heat cold water (CP = 4.18 kJ/kg-K) entering at 15 °C at a rate of 1.2 kg/s by hot air (CP = 1.005 kJ/kg-K) entering at 90 °C at a rate of 2.5 kg/s. The highest rate of heat transfer in the heat exchanger is _____ kW.a)188.4b)188.44Correct answer is between '188.4,188.44'. Can you explain this answer?.
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