GATE Exam > GATE Questions > Two fluids, A and B exchange heat in a count...
Start Learning for Free
Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 4200C and has mass flow rate of 2 kg/s. fluid B enters at 200C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (0C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)
- a)120
- b)95
- c)75
- d)100
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two fluids, A and B exchange heat in a counter flow heat exchanger. F...
Th2=120°C
Heat transfer rate (Q)
= mnCn (420-120)
= 600 kW
⇒600=mnCn (Tc2-Tc1)
⇒Tc2=95°C
Exit temperature of fluid B will be 95°C
Most Upvoted Answer
Two fluids, A and B exchange heat in a counter flow heat exchanger. F...
Problem Statement:
Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 42°C and has mass flow rate of 2 kg/s. fluid B enters at 20°C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (°C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)
a) 120
b) 95
c) 75
d) 100
Solution:
Given:
- Mass flow rate of Fluid A = 2 kg/s
- Mass flow rate of Fluid B = 2 kg/s
- Inlet temperature of Fluid A = 42°C
- Inlet temperature of Fluid B = 20°C
- Effectiveness of Heat Exchanger = 75%
- Specific heat of Fluid A = 1 kJ/kg-K
- Specific heat of Fluid B = 4 kJ/kg-K
To find: Exit temperature of Fluid B
Assumptions:
- The heat exchanger operates in a steady-state.
- Heat transfer occurs without any loss.
- There is no change in kinetic and potential energy of fluids.
Calculation:
- Heat Capacity rate of fluid A = m_A * Cp_A = 2 * 1 = 2 kJ/s-K
- Heat Capacity rate of fluid B = m_B * Cp_B = 2 * 4 = 8 kJ/s-K
- Heat Capacity rate ratio (CR) = C_min / C_max = min (2, 8) / max (2, 8) = 0.25
- Using the effectiveness-NTU method, we get NTU = -(1 / CR) * ln[(ε - 1) / (ε - e^(-CR * NTU))]
- Substituting CR = 0.25, ε = 0.75, and solving the above equation, we get NTU = 1.017
- The exit temperature of Fluid A, T_A2 = T_B2 + (T_A1 - T_B1) * (1 - e^(-NTU)) / CR = T_B2 + (42 - 20) * (1 - e^(-1.017)) / 0.25 = T_B2 + 22 * (1 - e^(-1.017))
- The exit temperature of Fluid B, T_B2 = T_A2 - (T_A1 - T_B1) * (1 - e^(-NTU)) = T_A2 - 22 * (1 - e^(-1.017))
Therefore, the exit temperature of Fluid B is 95°C.
Final Answer: Option (B) 95.
Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 42°C and has mass flow rate of 2 kg/s. fluid B enters at 20°C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (°C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)
a) 120
b) 95
c) 75
d) 100
Solution:
Given:
- Mass flow rate of Fluid A = 2 kg/s
- Mass flow rate of Fluid B = 2 kg/s
- Inlet temperature of Fluid A = 42°C
- Inlet temperature of Fluid B = 20°C
- Effectiveness of Heat Exchanger = 75%
- Specific heat of Fluid A = 1 kJ/kg-K
- Specific heat of Fluid B = 4 kJ/kg-K
To find: Exit temperature of Fluid B
Assumptions:
- The heat exchanger operates in a steady-state.
- Heat transfer occurs without any loss.
- There is no change in kinetic and potential energy of fluids.
Calculation:
- Heat Capacity rate of fluid A = m_A * Cp_A = 2 * 1 = 2 kJ/s-K
- Heat Capacity rate of fluid B = m_B * Cp_B = 2 * 4 = 8 kJ/s-K
- Heat Capacity rate ratio (CR) = C_min / C_max = min (2, 8) / max (2, 8) = 0.25
- Using the effectiveness-NTU method, we get NTU = -(1 / CR) * ln[(ε - 1) / (ε - e^(-CR * NTU))]
- Substituting CR = 0.25, ε = 0.75, and solving the above equation, we get NTU = 1.017
- The exit temperature of Fluid A, T_A2 = T_B2 + (T_A1 - T_B1) * (1 - e^(-NTU)) / CR = T_B2 + (42 - 20) * (1 - e^(-1.017)) / 0.25 = T_B2 + 22 * (1 - e^(-1.017))
- The exit temperature of Fluid B, T_B2 = T_A2 - (T_A1 - T_B1) * (1 - e^(-NTU)) = T_A2 - 22 * (1 - e^(-1.017))
Therefore, the exit temperature of Fluid B is 95°C.
Final Answer: Option (B) 95.
|
Explore Courses for GATE exam
|
|
Similar GATE Doubts
Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 4200C and has mass flow rate of 2 kg/s. fluid B enters at 200C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (0C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)a)120b)95c)75d)100Correct answer is option 'B'. Can you explain this answer?
Question Description
Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 4200C and has mass flow rate of 2 kg/s. fluid B enters at 200C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (0C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)a)120b)95c)75d)100Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 4200C and has mass flow rate of 2 kg/s. fluid B enters at 200C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (0C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)a)120b)95c)75d)100Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 4200C and has mass flow rate of 2 kg/s. fluid B enters at 200C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (0C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)a)120b)95c)75d)100Correct answer is option 'B'. Can you explain this answer?.
Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 4200C and has mass flow rate of 2 kg/s. fluid B enters at 200C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (0C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)a)120b)95c)75d)100Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 4200C and has mass flow rate of 2 kg/s. fluid B enters at 200C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (0C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)a)120b)95c)75d)100Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 4200C and has mass flow rate of 2 kg/s. fluid B enters at 200C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (0C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)a)120b)95c)75d)100Correct answer is option 'B'. Can you explain this answer?.
Solutions for Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 4200C and has mass flow rate of 2 kg/s. fluid B enters at 200C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (0C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)a)120b)95c)75d)100Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
Here you can find the meaning of Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 4200C and has mass flow rate of 2 kg/s. fluid B enters at 200C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (0C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)a)120b)95c)75d)100Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 4200C and has mass flow rate of 2 kg/s. fluid B enters at 200C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (0C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)a)120b)95c)75d)100Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 4200C and has mass flow rate of 2 kg/s. fluid B enters at 200C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (0C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)a)120b)95c)75d)100Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 4200C and has mass flow rate of 2 kg/s. fluid B enters at 200C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (0C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)a)120b)95c)75d)100Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two fluids, A and B exchange heat in a counter flow heat exchanger. Fluid A enters at 4200C and has mass flow rate of 2 kg/s. fluid B enters at 200C and also has mass flow rate of 2 kg/s; effectiveness of heat exchanger is 75%. The exit temperature (0C) of fluid B is (specific heat of fluid A is 1 kJ/kg-K and that of fluid B is 4 kJ/kg-K)a)120b)95c)75d)100Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice GATE tests.
|
|
Explore Courses for GATE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup