A vegetable soup, with specific heat capacity 4000 J/(kg. K), is being heated from 21 to 97 °C inside a 200 mm pipe by steam. This steam enters the heat exchanger at 135 °C with 97.0% dryness and exits at 54.0% dryness at a constant flow rate of 0.7 kg/s. If the average overall heat transfer coefficient, U, is 2000 W/(m². K), calculate: The rate of heat transfer in the heat exchanger: kW The log-mean temperature difference in the heat exchanger: °C The required length of the heat exchanger:
A vegetable soup, with specific heat capacity 4000 J/(kg. K), is being heated from 21 to 97 °C inside a 200 mm pipe by steam. This steam enters the heat exchanger at 135 °C with 97.0% dryness and exits at 54.0% dryness at a constant flow rate of 0.7 kg/s. If the average overall heat transfer coefficient, U, is 2000 W/(m². K), calculate: The rate of heat transfer in the heat exchanger: kW The log-mean temperature difference in the heat exchanger: °C The required length of the heat exchanger:
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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
Transcribed Image Text:A vegetable soup, with specific heat capacity 4000 J/(kg. K), is being heated
from 21 to 97 °C inside a 200 mm pipe by steam. This steam enters the heat
exchanger at 135 °C with 97.0% dryness and exits at 54.0% dryness at a constant flow rate
of 0.7 kg/s.
If the average overall heat transfer coefficient, U, is 2000 W/(m². K), calculate:
The rate of heat transfer in the heat exchanger:
kW
The log-mean temperature difference in the heat exchanger:
The required length of the heat exchanger:
m
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Step 1: Determining the given variables
VIEWStep 2: Calculating the enthalpy of steam at inlet and exit of heat exchanger
VIEWStep 3: Calculating the heat transfer in the heat exchanger
VIEWStep 4: Calculating the log-mean temperature difference
VIEWStep 5: Calculating the required length of heat exchanger
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