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In a surface condenser, the water flowing through a series of tubes at the rate of 200 kg/hr is heated from 15 degree Celsius to 75 degree Celsius. The steam condenses on the outside surface of tubes at atmospheric pressure and the overall heat transfer coefficient is estimated at 860 k J/m2 hr degree. Find the effectiveness of the heat exchanger. At the condensing pressure, stream has saturation temperature 0f 100 degree Celsius and the latent heat of vaporization is 2160 k J/kg. Further, the steam is initially just saturated and the condensate leaves the exchanger without sub-cooling i.e. only latent heat of condensing steam is transferred to water. Take specific heat of water as 4 k J/kg K
  • a)
    0.224
  • b)
    0.706
  • c)
    2.224
  • d)
    3.224
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a surface condenser, the water flowing through a series of tubes at...
Effectiveness = 1 – exponential (- NTU) and Effectiveness = C (t h 1 – t h 2)/C MIN (t h 1 – t c 2).
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In a surface condenser, the water flowing through a series of tubes at...
Given data:
Water flow rate, m = 200 kg/hr
Initial water temperature, Ti = 15°C
Final water temperature, Tf = 75°C
Heat transfer coefficient, U = 860 k J/m2hr°C
Saturation temperature of steam, Tsat = 100°C
Latent heat of vaporization of steam, hfg = 2160 kJ/kg
Specific heat of water, Cp = 4 kJ/kgK

To find: The effectiveness of the heat exchanger.

Solution:
1. Calculation of Logarithmic Mean Temperature Difference (LMTD):
ΔT1 = Ti - Tsat = 15 - 100 = -85°C
ΔT2 = Tf - Tsat = 75 - 100 = -25°C
LMTD = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2) = (-85 - (-25)) / ln((-85) / (-25)) ≈ -53.9°C

2. Calculation of the heat transfer rate:
Q = m * Cp * (Tf - Ti) = 200 * 4 * (75 - 15) = 48000 kJ/hr

3. Calculation of the overall heat transfer area:
U = Q / (A * LMTD)
A = Q / (U * LMTD) = 48000 / (860 * (-53.9)) ≈ 1.05 m2

4. Calculation of the log mean temperature difference for a counter-flow heat exchanger:
Cmin = m * Cp = 200 * 4 = 800 kJ/K
Cmax = hfg = 2160 kJ/kg
Cr = Cmin / Cmax = 800 / 2160 ≈ 0.37
ε = (1 - e^(-Cr * (1 - εNTU))) / (1 - (1 - e^(-Cr)) * e^(-εNTU))
Here, NTU = UA / Cmin = (860 * 1.05) / 800 ≈ 1.13
εNTU = e^(-NTU) = e^(-1.13) ≈ 0.32
Solving for ε, we get ε ≈ 0.706

Therefore, the effectiveness of the heat exchanger is 0.706 or 70.6%.
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In a surface condenser, the water flowing through a series of tubes at the rate of 200 kg/hr is heated from 15 degree Celsius to 75 degree Celsius. The steam condenses on the outside surface of tubes at atmospheric pressure and the overall heat transfer coefficient is estimated at 860 k J/m2hr degree. Find the effectiveness of the heat exchanger. At the condensing pressure, stream has saturation temperature 0f 100 degree Celsius and the latent heat of vaporization is 2160 k J/kg. Further, the steam is initially just saturated and the condensate leaves the exchanger without sub-cooling i.e. only latent heat of condensing steam is transferred to water. Take specific heat of water as 4 k J/kg Ka)0.224b)0.706c)2.224d)3.224Correct answer is option 'B'. Can you explain this answer?
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In a surface condenser, the water flowing through a series of tubes at the rate of 200 kg/hr is heated from 15 degree Celsius to 75 degree Celsius. The steam condenses on the outside surface of tubes at atmospheric pressure and the overall heat transfer coefficient is estimated at 860 k J/m2hr degree. Find the effectiveness of the heat exchanger. At the condensing pressure, stream has saturation temperature 0f 100 degree Celsius and the latent heat of vaporization is 2160 k J/kg. Further, the steam is initially just saturated and the condensate leaves the exchanger without sub-cooling i.e. only latent heat of condensing steam is transferred to water. Take specific heat of water as 4 k J/kg Ka)0.224b)0.706c)2.224d)3.224Correct answer is option 'B'. 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 In a surface condenser, the water flowing through a series of tubes at the rate of 200 kg/hr is heated from 15 degree Celsius to 75 degree Celsius. The steam condenses on the outside surface of tubes at atmospheric pressure and the overall heat transfer coefficient is estimated at 860 k J/m2hr degree. Find the effectiveness of the heat exchanger. At the condensing pressure, stream has saturation temperature 0f 100 degree Celsius and the latent heat of vaporization is 2160 k J/kg. Further, the steam is initially just saturated and the condensate leaves the exchanger without sub-cooling i.e. only latent heat of condensing steam is transferred to water. Take specific heat of water as 4 k J/kg Ka)0.224b)0.706c)2.224d)3.224Correct answer is option 'B'. 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 In a surface condenser, the water flowing through a series of tubes at the rate of 200 kg/hr is heated from 15 degree Celsius to 75 degree Celsius. The steam condenses on the outside surface of tubes at atmospheric pressure and the overall heat transfer coefficient is estimated at 860 k J/m2hr degree. Find the effectiveness of the heat exchanger. At the condensing pressure, stream has saturation temperature 0f 100 degree Celsius and the latent heat of vaporization is 2160 k J/kg. Further, the steam is initially just saturated and the condensate leaves the exchanger without sub-cooling i.e. only latent heat of condensing steam is transferred to water. Take specific heat of water as 4 k J/kg Ka)0.224b)0.706c)2.224d)3.224Correct answer is option 'B'. Can you explain this answer?.
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