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A counter flow shell and tube type heat exchanger is used to heat water with hot exhaust gases. The water (c = 4180 j/kg-K ) flows at the rate of 2 kg/s and the exhaust gases (c = 1000 j/kg - K) flow at the rate of 5 kg/s. If the heat transfer surface area is 32 m2 and the overall heat transfer coefficient is 200 W/m2 -K , the effectiveness of the heat exchanger is __________.
(B) 0.63
Correct answer is between ','. Can you explain this answer?
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Verified Answer
A counter flow shell and tube type heat exchanger is used to heat wat...
Hot fluid [Exhaust gases]
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CH = mHcH
∴ CH = 1000 x 5 = 5000 Watt/ ...①
Cold fluid [Water]
Cc = mccc
∴ Cc = 4180 x = 8360 Watt/K ...②
From ① & ②
CH < />c
∴ Cmin = CH = 5000 Watt/K
By definition,
C = Cmin/Cmax,
C = C CH/CC
C = 5000/8360
= 0.598
& NTU = UA/min
∴ NTU = 32 x 200/ 5000
= 1.28
For counterflow heat exchanger
∴ ε = 0.626
Most Upvoted Answer
A counter flow shell and tube type heat exchanger is used to heat wat...
Given information:
- Counter flow shell and tube type heat exchanger
- Hot exhaust gases used to heat water
- Water flows at the rate of 2 kg/s
- Exhaust gases flow at the rate of 5 kg/s
- Specific heat of water (c) = 4180 j/kg-K
- Specific heat of exhaust gases (c) = 1000 j/kg-K
- Heat transfer surface area = 32 m2
- Overall heat transfer coefficient = 200 W/m2-K
Calculating the effectiveness of the heat exchanger:
1. Calculate the mass flow rate ratio (R):
R = (m1/m2) = (mass flow rate of hot fluid)/(mass flow rate of cold fluid)
R = (5 kg/s) / (2 kg/s)
R = 2.5
2. Calculate the NTU value:
NTU = (U x A) / (minimum specific heat capacity)
- U = overall heat transfer coefficient = 200 W/m2-K
- A = heat transfer surface area = 32 m2
- Minimum specific heat capacity = minimum of c1 and c2
- c1 = specific heat of hot fluid (exhaust gases) = 1000 j/kg-K
- c2 = specific heat of cold fluid (water) = 4180 j/kg-K
Minimum specific heat capacity = 1000 j/kg-K
NTU = (200 W/m2-K x 32 m2) / (1000 j/kg-K)
NTU = 6.4
3. Calculate the effectiveness (ε) using the NTU method:
ε = (1 - e^(-NTU x (1-R))) / (1 - R x e^(-NTU x (1-R)))
ε = (1 - e^(-6.4 x (1-2.5))) / (1 - 2.5 x e^(-6.4 x (1-2.5)))
ε = 0.63
Therefore, the effectiveness of the heat exchanger is 0.63.
- Counter flow shell and tube type heat exchanger
- Hot exhaust gases used to heat water
- Water flows at the rate of 2 kg/s
- Exhaust gases flow at the rate of 5 kg/s
- Specific heat of water (c) = 4180 j/kg-K
- Specific heat of exhaust gases (c) = 1000 j/kg-K
- Heat transfer surface area = 32 m2
- Overall heat transfer coefficient = 200 W/m2-K
Calculating the effectiveness of the heat exchanger:
1. Calculate the mass flow rate ratio (R):
R = (m1/m2) = (mass flow rate of hot fluid)/(mass flow rate of cold fluid)
R = (5 kg/s) / (2 kg/s)
R = 2.5
2. Calculate the NTU value:
NTU = (U x A) / (minimum specific heat capacity)
- U = overall heat transfer coefficient = 200 W/m2-K
- A = heat transfer surface area = 32 m2
- Minimum specific heat capacity = minimum of c1 and c2
- c1 = specific heat of hot fluid (exhaust gases) = 1000 j/kg-K
- c2 = specific heat of cold fluid (water) = 4180 j/kg-K
Minimum specific heat capacity = 1000 j/kg-K
NTU = (200 W/m2-K x 32 m2) / (1000 j/kg-K)
NTU = 6.4
3. Calculate the effectiveness (ε) using the NTU method:
ε = (1 - e^(-NTU x (1-R))) / (1 - R x e^(-NTU x (1-R)))
ε = (1 - e^(-6.4 x (1-2.5))) / (1 - 2.5 x e^(-6.4 x (1-2.5)))
ε = 0.63
Therefore, the effectiveness of the heat exchanger is 0.63.
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A counter flow shell and tube type heat exchanger is used to heat water with hot exhaust gases. The water (c = 4180 j/kg-K ) flows at the rate of 2 kg/s and the exhaust gases (c = 1000 j/kg - K) flow at the rate of 5 kg/s. If the heat transfer surface area is 32 m2 and the overall heat transfer coefficient is 200 W/m2 -K , the effectiveness of the heat exchanger is __________.(B) 0.63Correct answer is between ','. Can you explain this answer?
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A counter flow shell and tube type heat exchanger is used to heat water with hot exhaust gases. The water (c = 4180 j/kg-K ) flows at the rate of 2 kg/s and the exhaust gases (c = 1000 j/kg - K) flow at the rate of 5 kg/s. If the heat transfer surface area is 32 m2 and the overall heat transfer coefficient is 200 W/m2 -K , the effectiveness of the heat exchanger is __________.(B) 0.63Correct answer is between ','. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about A counter flow shell and tube type heat exchanger is used to heat water with hot exhaust gases. The water (c = 4180 j/kg-K ) flows at the rate of 2 kg/s and the exhaust gases (c = 1000 j/kg - K) flow at the rate of 5 kg/s. If the heat transfer surface area is 32 m2 and the overall heat transfer coefficient is 200 W/m2 -K , the effectiveness of the heat exchanger is __________.(B) 0.63Correct answer is between ','. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A counter flow shell and tube type heat exchanger is used to heat water with hot exhaust gases. The water (c = 4180 j/kg-K ) flows at the rate of 2 kg/s and the exhaust gases (c = 1000 j/kg - K) flow at the rate of 5 kg/s. If the heat transfer surface area is 32 m2 and the overall heat transfer coefficient is 200 W/m2 -K , the effectiveness of the heat exchanger is __________.(B) 0.63Correct answer is between ','. Can you explain this answer?.
A counter flow shell and tube type heat exchanger is used to heat water with hot exhaust gases. The water (c = 4180 j/kg-K ) flows at the rate of 2 kg/s and the exhaust gases (c = 1000 j/kg - K) flow at the rate of 5 kg/s. If the heat transfer surface area is 32 m2 and the overall heat transfer coefficient is 200 W/m2 -K , the effectiveness of the heat exchanger is __________.(B) 0.63Correct answer is between ','. Can you explain this answer? for Chemical Engineering 2024 is part of Chemical Engineering preparation. The Question and answers have been prepared according to the Chemical Engineering exam syllabus. Information about A counter flow shell and tube type heat exchanger is used to heat water with hot exhaust gases. The water (c = 4180 j/kg-K ) flows at the rate of 2 kg/s and the exhaust gases (c = 1000 j/kg - K) flow at the rate of 5 kg/s. If the heat transfer surface area is 32 m2 and the overall heat transfer coefficient is 200 W/m2 -K , the effectiveness of the heat exchanger is __________.(B) 0.63Correct answer is between ','. Can you explain this answer? covers all topics & solutions for Chemical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A counter flow shell and tube type heat exchanger is used to heat water with hot exhaust gases. The water (c = 4180 j/kg-K ) flows at the rate of 2 kg/s and the exhaust gases (c = 1000 j/kg - K) flow at the rate of 5 kg/s. If the heat transfer surface area is 32 m2 and the overall heat transfer coefficient is 200 W/m2 -K , the effectiveness of the heat exchanger is __________.(B) 0.63Correct answer is between ','. Can you explain this answer?.
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