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In a parallel flow heat exchanger operating under steady state, the heat capacity rates (product of specific heat at constant pressure and mass flow rate) of the hot and cold fluid are equal. The hot fluid, flowing at 1 kg/s with cp = 4 kJ/kgK, enters the heat exchanger at 102°C while the cold fluid has an inlet temperature of 15°C. The overall heat transfer coefficient for the heat exchanger is estimated to be 1 kW/m2K and the corresponding heat transfer surface area is 5 m2. Neglect heat transfer between the heat exchanger and the ambient. The heat exchanger is characterized by the following relation:
2ε = 1 - expt(-2NTU). The exit temperature (in °C) for the cold fluid is
[2009]
  • a)
    45
  • b)
    55
  • c)
    65
  • d)
    75
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a parallel flow heat exchanger operating under steady state, the he...



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In a parallel flow heat exchanger operating under steady state, the he...
To solve this problem, we can use the equation for heat transfer in a parallel flow heat exchanger:

Q = m_dot_hot * cp_hot * (Th_in - Th_out)

where:
Q = heat transfer rate (in kW)
m_dot_hot = mass flow rate of the hot fluid (in kg/s)
cp_hot = specific heat capacity of the hot fluid at constant pressure (in kJ/kgK)
Th_in = inlet temperature of the hot fluid (in °C)
Th_out = outlet temperature of the hot fluid (in °C)

Given that the heat capacity rates of the hot and cold fluids are equal, we can set up the following equation:

m_dot_hot * cp_hot = m_dot_cold * cp_cold

We are given:
m_dot_hot = 1 kg/s
cp_hot = 4 kJ/kgK

To find the outlet temperature of the hot fluid (Th_out), we need the inlet temperature of the hot fluid (Th_in). However, the value of Th_in is not provided in the question.
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In a parallel flow heat exchanger operating under steady state, the heat capacity rates (product of specific heat at constant pressure and mass flow rate) of the hot and cold fluid are equal. The hot fluid, flowing at 1 kg/s with cp = 4 kJ/kgK, enters the heat exchanger at 102°C while the cold fluid has an inlet temperature of 15°C. The overall heat transfer coefficient for the heat exchanger is estimated to be 1 kW/m2K and the corresponding heat transfer surface area is 5 m2. Neglect heat transfer between the heat exchanger and the ambient. The heat exchanger is characterized by the following relation:2ε = 1 - expt(-2NTU). The exit temperature (in °C) for the cold fluid is[2009]a)45b)55c)65d)75Correct answer is option 'B'. Can you explain this answer?
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In a parallel flow heat exchanger operating under steady state, the heat capacity rates (product of specific heat at constant pressure and mass flow rate) of the hot and cold fluid are equal. The hot fluid, flowing at 1 kg/s with cp = 4 kJ/kgK, enters the heat exchanger at 102°C while the cold fluid has an inlet temperature of 15°C. The overall heat transfer coefficient for the heat exchanger is estimated to be 1 kW/m2K and the corresponding heat transfer surface area is 5 m2. Neglect heat transfer between the heat exchanger and the ambient. The heat exchanger is characterized by the following relation:2ε = 1 - expt(-2NTU). The exit temperature (in °C) for the cold fluid is[2009]a)45b)55c)65d)75Correct answer is option 'B'. 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 In a parallel flow heat exchanger operating under steady state, the heat capacity rates (product of specific heat at constant pressure and mass flow rate) of the hot and cold fluid are equal. The hot fluid, flowing at 1 kg/s with cp = 4 kJ/kgK, enters the heat exchanger at 102°C while the cold fluid has an inlet temperature of 15°C. The overall heat transfer coefficient for the heat exchanger is estimated to be 1 kW/m2K and the corresponding heat transfer surface area is 5 m2. Neglect heat transfer between the heat exchanger and the ambient. The heat exchanger is characterized by the following relation:2ε = 1 - expt(-2NTU). The exit temperature (in °C) for the cold fluid is[2009]a)45b)55c)65d)75Correct answer is option 'B'. 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 In a parallel flow heat exchanger operating under steady state, the heat capacity rates (product of specific heat at constant pressure and mass flow rate) of the hot and cold fluid are equal. The hot fluid, flowing at 1 kg/s with cp = 4 kJ/kgK, enters the heat exchanger at 102°C while the cold fluid has an inlet temperature of 15°C. The overall heat transfer coefficient for the heat exchanger is estimated to be 1 kW/m2K and the corresponding heat transfer surface area is 5 m2. Neglect heat transfer between the heat exchanger and the ambient. The heat exchanger is characterized by the following relation:2ε = 1 - expt(-2NTU). The exit temperature (in °C) for the cold fluid is[2009]a)45b)55c)65d)75Correct answer is option 'B'. Can you explain this answer?.
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