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A shell and tube heat exchange is used as a steam condenser. Coolant water inters the tube at 300 K and at a rate of 100 kg/s. The overall heat transfer coefficient is 1500 W/m2K and total heat transfer area is 400 m2 . Steam condenses at a saturation temperature of 350 K. Assume that the specific heat of coolant water is 4000 J/kgK. The temperature of the coolant water coming out of the condenser is _______ K (round off to the nearest integer)
Correct answer is '338.8434'. Can you explain this answer?
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A shell and tube heat exchange is used as a steam condenser. Coolant w...
Given :
Cmin = 100× 4000 = 400, 000
Cmin = 100× 4000 = 400, 000
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A shell and tube heat exchange is used as a steam condenser. Coolant w...
Given Data:
- Inlet temperature of coolant water (T1) = 300 K
- Coolant water flow rate (m_dot) = 100 kg/s
- Overall heat transfer coefficient (U) = 1500 W/m^2K
- Total heat transfer area (A) = 400 m^2
- Saturation temperature of steam (Ts) = 350 K
- Specific heat of coolant water (Cp) = 4000 J/kgK
Approach:
To find the outlet temperature of the coolant water (T2), we can use the energy balance equation for the steam condenser:
m_dot * Cp * (T1 - T2) = U * A * (Ts - T2)
Calculation:
Substituting the given values into the energy balance equation:
100 * 4000 * (300 - T2) = 1500 * 400 * (350 - T2)
Simplifying the equation:
400000 * (300 - T2) = 600000 * (350 - T2)
120000000 - 400000 * T2 = 210000000 - 600000 * T2
200000 * T2 = 90000000
T2 = 90000000 / 200000
T2 = 450
Therefore, the outlet temperature of the coolant water is 450 K. However, since the question asks for the answer rounded off to the nearest integer, the correct answer is 450 K.
- Inlet temperature of coolant water (T1) = 300 K
- Coolant water flow rate (m_dot) = 100 kg/s
- Overall heat transfer coefficient (U) = 1500 W/m^2K
- Total heat transfer area (A) = 400 m^2
- Saturation temperature of steam (Ts) = 350 K
- Specific heat of coolant water (Cp) = 4000 J/kgK
Approach:
To find the outlet temperature of the coolant water (T2), we can use the energy balance equation for the steam condenser:
m_dot * Cp * (T1 - T2) = U * A * (Ts - T2)
Calculation:
Substituting the given values into the energy balance equation:
100 * 4000 * (300 - T2) = 1500 * 400 * (350 - T2)
Simplifying the equation:
400000 * (300 - T2) = 600000 * (350 - T2)
120000000 - 400000 * T2 = 210000000 - 600000 * T2
200000 * T2 = 90000000
T2 = 90000000 / 200000
T2 = 450
Therefore, the outlet temperature of the coolant water is 450 K. However, since the question asks for the answer rounded off to the nearest integer, the correct answer is 450 K.
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A shell and tube heat exchange is used as a steam condenser. Coolant water inters the tube at 300 K and at a rate of 100 kg/s. The overall heat transfer coefficient is 1500 W/m2K and total heat transfer area is 400 m2 . Steam condenses at a saturation temperature of 350 K. Assume that the specific heat of coolant water is 4000 J/kgK. The temperature of the coolant water coming out of the condenser is _______ K (round off to the nearest integer)Correct answer is '338.8434'. Can you explain this answer?
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A shell and tube heat exchange is used as a steam condenser. Coolant water inters the tube at 300 K and at a rate of 100 kg/s. The overall heat transfer coefficient is 1500 W/m2K and total heat transfer area is 400 m2 . Steam condenses at a saturation temperature of 350 K. Assume that the specific heat of coolant water is 4000 J/kgK. The temperature of the coolant water coming out of the condenser is _______ K (round off to the nearest integer)Correct answer is '338.8434'. 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 A shell and tube heat exchange is used as a steam condenser. Coolant water inters the tube at 300 K and at a rate of 100 kg/s. The overall heat transfer coefficient is 1500 W/m2K and total heat transfer area is 400 m2 . Steam condenses at a saturation temperature of 350 K. Assume that the specific heat of coolant water is 4000 J/kgK. The temperature of the coolant water coming out of the condenser is _______ K (round off to the nearest integer)Correct answer is '338.8434'. 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 A shell and tube heat exchange is used as a steam condenser. Coolant water inters the tube at 300 K and at a rate of 100 kg/s. The overall heat transfer coefficient is 1500 W/m2K and total heat transfer area is 400 m2 . Steam condenses at a saturation temperature of 350 K. Assume that the specific heat of coolant water is 4000 J/kgK. The temperature of the coolant water coming out of the condenser is _______ K (round off to the nearest integer)Correct answer is '338.8434'. Can you explain this answer?.
A shell and tube heat exchange is used as a steam condenser. Coolant water inters the tube at 300 K and at a rate of 100 kg/s. The overall heat transfer coefficient is 1500 W/m2K and total heat transfer area is 400 m2 . Steam condenses at a saturation temperature of 350 K. Assume that the specific heat of coolant water is 4000 J/kgK. The temperature of the coolant water coming out of the condenser is _______ K (round off to the nearest integer)Correct answer is '338.8434'. 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 A shell and tube heat exchange is used as a steam condenser. Coolant water inters the tube at 300 K and at a rate of 100 kg/s. The overall heat transfer coefficient is 1500 W/m2K and total heat transfer area is 400 m2 . Steam condenses at a saturation temperature of 350 K. Assume that the specific heat of coolant water is 4000 J/kgK. The temperature of the coolant water coming out of the condenser is _______ K (round off to the nearest integer)Correct answer is '338.8434'. 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 A shell and tube heat exchange is used as a steam condenser. Coolant water inters the tube at 300 K and at a rate of 100 kg/s. The overall heat transfer coefficient is 1500 W/m2K and total heat transfer area is 400 m2 . Steam condenses at a saturation temperature of 350 K. Assume that the specific heat of coolant water is 4000 J/kgK. The temperature of the coolant water coming out of the condenser is _______ K (round off to the nearest integer)Correct answer is '338.8434'. Can you explain this answer?.
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