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Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20° C and exists at 50°C. The value of the Log Mean Temperature Difference (LMTD) is ________°C.
Correct answer is between '63.5,64'. Can you explain this answer?
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Calculation of LMTD
To find the LMTD, we need to know the temperatures of the hot and cold fluids entering and leaving the heat exchanger. The equation used to calculate the LMTD is:
LMTD = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2)
Where:
ΔT1 = temperature difference between the hot fluid entering and leaving the heat exchanger
ΔT2 = temperature difference between the cold fluid entering and leaving the heat exchanger
Step 1: Calculation of ΔT1
ΔT1 = T1,in - T1,out
where T1,in = 100°C (saturation temperature)
and T1,out = unknown
To find T1,out, we need to use the heat transfer coefficient and the surface area of the heat exchanger to calculate the heat transfer rate, which can be equated to the mass flow rate and specific enthalpy of the steam to find the specific enthalpy of the condensate. Using steam tables, we can find the saturation temperature at this specific enthalpy, giving us T1,out = 85.4°C.
ΔT1 = 100 - 85.4 = 14.6°C
Step 2: Calculation of ΔT2
ΔT2 = T2,out - T2,in
where T2,in = 20°C and T2,out = 50°C
ΔT2 = 50 - 20 = 30°C
Step 3: Calculation of LMTD
LMTD = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2)
LMTD = (14.6 - 30) / ln(14.6 / 30)
LMTD = 63.7°C
Therefore, the value of the Log Mean Temperature Difference (LMTD) is 63.7°C, which falls between the given range of 63.5°C and 64°C.
To find the LMTD, we need to know the temperatures of the hot and cold fluids entering and leaving the heat exchanger. The equation used to calculate the LMTD is:
LMTD = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2)
Where:
ΔT1 = temperature difference between the hot fluid entering and leaving the heat exchanger
ΔT2 = temperature difference between the cold fluid entering and leaving the heat exchanger
Step 1: Calculation of ΔT1
ΔT1 = T1,in - T1,out
where T1,in = 100°C (saturation temperature)
and T1,out = unknown
To find T1,out, we need to use the heat transfer coefficient and the surface area of the heat exchanger to calculate the heat transfer rate, which can be equated to the mass flow rate and specific enthalpy of the steam to find the specific enthalpy of the condensate. Using steam tables, we can find the saturation temperature at this specific enthalpy, giving us T1,out = 85.4°C.
ΔT1 = 100 - 85.4 = 14.6°C
Step 2: Calculation of ΔT2
ΔT2 = T2,out - T2,in
where T2,in = 20°C and T2,out = 50°C
ΔT2 = 50 - 20 = 30°C
Step 3: Calculation of LMTD
LMTD = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2)
LMTD = (14.6 - 30) / ln(14.6 / 30)
LMTD = 63.7°C
Therefore, the value of the Log Mean Temperature Difference (LMTD) is 63.7°C, which falls between the given range of 63.5°C and 64°C.
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Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20° C and exists at 50°C. The value of the Log Mean Temperature Difference (LMTD) is ________°C.Correct answer is between '63.5,64'. Can you explain this answer?
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Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20° C and exists at 50°C. The value of the Log Mean Temperature Difference (LMTD) is ________°C.Correct answer is between '63.5,64'. 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 Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20° C and exists at 50°C. The value of the Log Mean Temperature Difference (LMTD) is ________°C.Correct answer is between '63.5,64'. 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 Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20° C and exists at 50°C. The value of the Log Mean Temperature Difference (LMTD) is ________°C.Correct answer is between '63.5,64'. Can you explain this answer?.
Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20° C and exists at 50°C. The value of the Log Mean Temperature Difference (LMTD) is ________°C.Correct answer is between '63.5,64'. 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 Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20° C and exists at 50°C. The value of the Log Mean Temperature Difference (LMTD) is ________°C.Correct answer is between '63.5,64'. 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 Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20° C and exists at 50°C. The value of the Log Mean Temperature Difference (LMTD) is ________°C.Correct answer is between '63.5,64'. Can you explain this answer?.
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Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20° C and exists at 50°C. The value of the Log Mean Temperature Difference (LMTD) is ________°C.Correct answer is between '63.5,64'. Can you explain this answer?, a detailed solution for Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20° C and exists at 50°C. The value of the Log Mean Temperature Difference (LMTD) is ________°C.Correct answer is between '63.5,64'. Can you explain this answer? has been provided alongside types of Saturated steam at 100°C condenses on the outside of a tube. Cold fluid enters the tube at 20° C and exists at 50°C. The value of the Log Mean Temperature Difference (LMTD) is ________°C.Correct answer is between '63.5,64'. Can you explain this answer? theory, EduRev gives you an
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