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A counter flow shell and tube exchanger is used to heat water with hot exhaust gases. The water (C = 4180 J/kg°C) flows at a rate of 2 kg/s while the exhaust gas (1030 J/kg°C) flows at the rate of 5.25 kg/s. If the heat transfer surface area is 30 m2 and the overall heat transfer coefficient is 200 W/m2°C, what is the NTU for the heat exchanger?
- a)0.7
- b)1.1
- c)2.1
- d)2.4
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A counter flow shell and tube exchanger is used to heat water with hot...
Heat capacity Ratio, C:
ṁc = Cpc = Cc
ṁh = Cph = Ch
NTU (number of transfer units): Measure of the effectiveness of the heat exchanger
Most Upvoted Answer
A counter flow shell and tube exchanger is used to heat water with hot...
°C) enters the shell side of the exchanger at a flow rate of 2 kg/s and a temperature of 20°C. The exhaust gases (C = 1000 J/kg°C) enter the tube side at a flow rate of 1 kg/s and a temperature of 400°C. The overall heat transfer coefficient is 500 W/m²°C. Determine the outlet temperatures of the water and exhaust gases.
To solve this problem, we can use the energy balance equation:
Q = m1 * C1 * (T1 - T1') = m2 * C2 * (T2' - T2)
Where:
Q is the heat transfer rate (W)
m1 is the mass flow rate of water (kg/s)
C1 is the specific heat capacity of water (J/kg°C)
T1 is the inlet temperature of water (°C)
T1' is the outlet temperature of water (°C)
m2 is the mass flow rate of exhaust gases (kg/s)
C2 is the specific heat capacity of exhaust gases (J/kg°C)
T2' is the outlet temperature of exhaust gases (°C)
T2 is the inlet temperature of exhaust gases (°C)
We are given:
m1 = 2 kg/s
C1 = 4180 J/kg°C
T1 = 20°C
m2 = 1 kg/s
C2 = 1000 J/kg°C
T2 = 400°C
U = 500 W/m²°C
First, we need to calculate the heat transfer rate using the equation:
Q = U * A * ΔTlm
Where:
A is the heat transfer area (m²)
ΔTlm is the logarithmic mean temperature difference (°C)
The heat transfer area can be calculated using the equation:
A = (m1 * C1) / (U * ΔTlm)
To calculate the logarithmic mean temperature difference (ΔTlm), we can use the equation:
ΔTlm = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2)
Where:
ΔT1 = T1 - T2'
ΔT2 = T1' - T2
Let's calculate ΔT1 and ΔT2:
ΔT1 = T1 - T2' = 20 - T2'
ΔT2 = T1' - T2
Now, we can calculate ΔTlm:
ΔTlm = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2)
Next, we can calculate the heat transfer area:
A = (m1 * C1) / (U * ΔTlm)
With the heat transfer area known, we can calculate the heat transfer rate:
Q = U * A * ΔTlm
Now, we can rearrange the energy balance equation to solve for T1':
T1' = (Q / (m1 * C1)) + T1
Finally, we can substitute the known values into the equations and solve for T1' and T2':
ΔT1 = 20 - T2'
ΔT2 = T1' - T2
ΔTlm = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2)
A = (m1
To solve this problem, we can use the energy balance equation:
Q = m1 * C1 * (T1 - T1') = m2 * C2 * (T2' - T2)
Where:
Q is the heat transfer rate (W)
m1 is the mass flow rate of water (kg/s)
C1 is the specific heat capacity of water (J/kg°C)
T1 is the inlet temperature of water (°C)
T1' is the outlet temperature of water (°C)
m2 is the mass flow rate of exhaust gases (kg/s)
C2 is the specific heat capacity of exhaust gases (J/kg°C)
T2' is the outlet temperature of exhaust gases (°C)
T2 is the inlet temperature of exhaust gases (°C)
We are given:
m1 = 2 kg/s
C1 = 4180 J/kg°C
T1 = 20°C
m2 = 1 kg/s
C2 = 1000 J/kg°C
T2 = 400°C
U = 500 W/m²°C
First, we need to calculate the heat transfer rate using the equation:
Q = U * A * ΔTlm
Where:
A is the heat transfer area (m²)
ΔTlm is the logarithmic mean temperature difference (°C)
The heat transfer area can be calculated using the equation:
A = (m1 * C1) / (U * ΔTlm)
To calculate the logarithmic mean temperature difference (ΔTlm), we can use the equation:
ΔTlm = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2)
Where:
ΔT1 = T1 - T2'
ΔT2 = T1' - T2
Let's calculate ΔT1 and ΔT2:
ΔT1 = T1 - T2' = 20 - T2'
ΔT2 = T1' - T2
Now, we can calculate ΔTlm:
ΔTlm = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2)
Next, we can calculate the heat transfer area:
A = (m1 * C1) / (U * ΔTlm)
With the heat transfer area known, we can calculate the heat transfer rate:
Q = U * A * ΔTlm
Now, we can rearrange the energy balance equation to solve for T1':
T1' = (Q / (m1 * C1)) + T1
Finally, we can substitute the known values into the equations and solve for T1' and T2':
ΔT1 = 20 - T2'
ΔT2 = T1' - T2
ΔTlm = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2)
A = (m1
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A counter flow shell and tube exchanger is used to heat water with hot exhaust gases. The water (C = 4180 J/kg°C) flows at a rate of 2 kg/s while the exhaust gas (1030 J/kg°C) flows at the rate of 5.25 kg/s. If the heat transfer surface area is 30 m2and the overall heat transfer coefficient is 200 W/m2°C, what is the NTU for the heat exchanger?a)0.7b)1.1c)2.1d)2.4Correct answer is option 'B'. Can you explain this answer?
Question Description
A counter flow shell and tube exchanger is used to heat water with hot exhaust gases. The water (C = 4180 J/kg°C) flows at a rate of 2 kg/s while the exhaust gas (1030 J/kg°C) flows at the rate of 5.25 kg/s. If the heat transfer surface area is 30 m2and the overall heat transfer coefficient is 200 W/m2°C, what is the NTU for the heat exchanger?a)0.7b)1.1c)2.1d)2.4Correct 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 A counter flow shell and tube exchanger is used to heat water with hot exhaust gases. The water (C = 4180 J/kg°C) flows at a rate of 2 kg/s while the exhaust gas (1030 J/kg°C) flows at the rate of 5.25 kg/s. If the heat transfer surface area is 30 m2and the overall heat transfer coefficient is 200 W/m2°C, what is the NTU for the heat exchanger?a)0.7b)1.1c)2.1d)2.4Correct 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 A counter flow shell and tube exchanger is used to heat water with hot exhaust gases. The water (C = 4180 J/kg°C) flows at a rate of 2 kg/s while the exhaust gas (1030 J/kg°C) flows at the rate of 5.25 kg/s. If the heat transfer surface area is 30 m2and the overall heat transfer coefficient is 200 W/m2°C, what is the NTU for the heat exchanger?a)0.7b)1.1c)2.1d)2.4Correct answer is option 'B'. Can you explain this answer?.
A counter flow shell and tube exchanger is used to heat water with hot exhaust gases. The water (C = 4180 J/kg°C) flows at a rate of 2 kg/s while the exhaust gas (1030 J/kg°C) flows at the rate of 5.25 kg/s. If the heat transfer surface area is 30 m2and the overall heat transfer coefficient is 200 W/m2°C, what is the NTU for the heat exchanger?a)0.7b)1.1c)2.1d)2.4Correct 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 A counter flow shell and tube exchanger is used to heat water with hot exhaust gases. The water (C = 4180 J/kg°C) flows at a rate of 2 kg/s while the exhaust gas (1030 J/kg°C) flows at the rate of 5.25 kg/s. If the heat transfer surface area is 30 m2and the overall heat transfer coefficient is 200 W/m2°C, what is the NTU for the heat exchanger?a)0.7b)1.1c)2.1d)2.4Correct 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 A counter flow shell and tube exchanger is used to heat water with hot exhaust gases. The water (C = 4180 J/kg°C) flows at a rate of 2 kg/s while the exhaust gas (1030 J/kg°C) flows at the rate of 5.25 kg/s. If the heat transfer surface area is 30 m2and the overall heat transfer coefficient is 200 W/m2°C, what is the NTU for the heat exchanger?a)0.7b)1.1c)2.1d)2.4Correct answer is option 'B'. Can you explain this answer?.
Solutions for A counter flow shell and tube exchanger is used to heat water with hot exhaust gases. The water (C = 4180 J/kg°C) flows at a rate of 2 kg/s while the exhaust gas (1030 J/kg°C) flows at the rate of 5.25 kg/s. If the heat transfer surface area is 30 m2and the overall heat transfer coefficient is 200 W/m2°C, what is the NTU for the heat exchanger?a)0.7b)1.1c)2.1d)2.4Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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A counter flow shell and tube exchanger is used to heat water with hot exhaust gases. The water (C = 4180 J/kg°C) flows at a rate of 2 kg/s while the exhaust gas (1030 J/kg°C) flows at the rate of 5.25 kg/s. If the heat transfer surface area is 30 m2and the overall heat transfer coefficient is 200 W/m2°C, what is the NTU for the heat exchanger?a)0.7b)1.1c)2.1d)2.4Correct answer is option 'B'. Can you explain this answer?, a detailed solution for A counter flow shell and tube exchanger is used to heat water with hot exhaust gases. The water (C = 4180 J/kg°C) flows at a rate of 2 kg/s while the exhaust gas (1030 J/kg°C) flows at the rate of 5.25 kg/s. If the heat transfer surface area is 30 m2and the overall heat transfer coefficient is 200 W/m2°C, what is the NTU for the heat exchanger?a)0.7b)1.1c)2.1d)2.4Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of A counter flow shell and tube exchanger is used to heat water with hot exhaust gases. The water (C = 4180 J/kg°C) flows at a rate of 2 kg/s while the exhaust gas (1030 J/kg°C) flows at the rate of 5.25 kg/s. If the heat transfer surface area is 30 m2and the overall heat transfer coefficient is 200 W/m2°C, what is the NTU for the heat exchanger?a)0.7b)1.1c)2.1d)2.4Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A counter flow shell and tube exchanger is used to heat water with hot exhaust gases. The water (C = 4180 J/kg°C) flows at a rate of 2 kg/s while the exhaust gas (1030 J/kg°C) flows at the rate of 5.25 kg/s. If the heat transfer surface area is 30 m2and the overall heat transfer coefficient is 200 W/m2°C, what is the NTU for the heat exchanger?a)0.7b)1.1c)2.1d)2.4Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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