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In a heat exchanger the hot fluid ent ers with a temperature of 200°C and leaves at 170°C. T he cooling fluid enters at 30°C and leaves at 120°C. T he capacity rat io of the heat exchanger is ______________
Correct answer is between '0.32,0.34'. Can you explain this answer?
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In a heat exchanger the hot fluid ent ers with a temperature of 200&de...
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In a heat exchanger the hot fluid ent ers with a temperature of 200&de...
°F and leaves with a temperature of 150°F. The cold fluid enters with a temperature of 80°F and leaves with a temperature of 120°F.
To calculate the heat transferred in the heat exchanger, we can use the equation:
Q = m * Cp * ΔT
where Q is the heat transferred, m is the mass flow rate, Cp is the specific heat, and ΔT is the temperature difference.
Assuming the mass flow rates and specific heats of both fluids are equal, we can simplify the equation to:
Q = Cp * m * (Thot,in - Thot,out)
Q = Cp * m * (200 - 150)
Q = Cp * m * 50
Similarly, for the cold fluid:
Q = Cp * m * (Tcold,out - Tcold,in)
Q = Cp * m * (120 - 80)
Q = Cp * m * 40
Since the heat transferred from the hot fluid is equal to the heat transferred to the cold fluid, we can set the two equations equal to each other:
Cp * m * 50 = Cp * m * 40
Simplifying and solving for m, we get:
m = 0.8 * Cp * (Thot,in - Thot,out) / (Tcold,out - Tcold,in)
Plugging in the values, we get:
m = 0.8 * 1 * (200 - 150) / (120 - 80)
m = 0.8 * 50 / 40
m = 1
Therefore, the mass flow rate of both fluids should be 1 kg/s in order to transfer the same amount of heat from the hot fluid to the cold fluid. The heat transferred can then be calculated as:
Q = Cp * m * (Thot,in - Thot,out)
Q = 1 * 1 * (200 - 150)
Q = 50 kJ/s or 50 kW
To calculate the heat transferred in the heat exchanger, we can use the equation:
Q = m * Cp * ΔT
where Q is the heat transferred, m is the mass flow rate, Cp is the specific heat, and ΔT is the temperature difference.
Assuming the mass flow rates and specific heats of both fluids are equal, we can simplify the equation to:
Q = Cp * m * (Thot,in - Thot,out)
Q = Cp * m * (200 - 150)
Q = Cp * m * 50
Similarly, for the cold fluid:
Q = Cp * m * (Tcold,out - Tcold,in)
Q = Cp * m * (120 - 80)
Q = Cp * m * 40
Since the heat transferred from the hot fluid is equal to the heat transferred to the cold fluid, we can set the two equations equal to each other:
Cp * m * 50 = Cp * m * 40
Simplifying and solving for m, we get:
m = 0.8 * Cp * (Thot,in - Thot,out) / (Tcold,out - Tcold,in)
Plugging in the values, we get:
m = 0.8 * 1 * (200 - 150) / (120 - 80)
m = 0.8 * 50 / 40
m = 1
Therefore, the mass flow rate of both fluids should be 1 kg/s in order to transfer the same amount of heat from the hot fluid to the cold fluid. The heat transferred can then be calculated as:
Q = Cp * m * (Thot,in - Thot,out)
Q = 1 * 1 * (200 - 150)
Q = 50 kJ/s or 50 kW
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In a heat exchanger the hot fluid ent ers with a temperature of 200°C and leaves at 170°C. T he cooling fluid enters at 30°C and leaves at 120°C. T he capacity rat io of the heat exchanger is ______________Correct answer is between '0.32,0.34'. Can you explain this answer?
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In a heat exchanger the hot fluid ent ers with a temperature of 200°C and leaves at 170°C. T he cooling fluid enters at 30°C and leaves at 120°C. T he capacity rat io of the heat exchanger is ______________Correct answer is between '0.32,0.34'. 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 heat exchanger the hot fluid ent ers with a temperature of 200°C and leaves at 170°C. T he cooling fluid enters at 30°C and leaves at 120°C. T he capacity rat io of the heat exchanger is ______________Correct answer is between '0.32,0.34'. 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 heat exchanger the hot fluid ent ers with a temperature of 200°C and leaves at 170°C. T he cooling fluid enters at 30°C and leaves at 120°C. T he capacity rat io of the heat exchanger is ______________Correct answer is between '0.32,0.34'. Can you explain this answer?.
In a heat exchanger the hot fluid ent ers with a temperature of 200°C and leaves at 170°C. T he cooling fluid enters at 30°C and leaves at 120°C. T he capacity rat io of the heat exchanger is ______________Correct answer is between '0.32,0.34'. 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 heat exchanger the hot fluid ent ers with a temperature of 200°C and leaves at 170°C. T he cooling fluid enters at 30°C and leaves at 120°C. T he capacity rat io of the heat exchanger is ______________Correct answer is between '0.32,0.34'. 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 heat exchanger the hot fluid ent ers with a temperature of 200°C and leaves at 170°C. T he cooling fluid enters at 30°C and leaves at 120°C. T he capacity rat io of the heat exchanger is ______________Correct answer is between '0.32,0.34'. Can you explain this answer?.
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