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Steam in the condenser of a power plant is to be condensed at a temperature of 30oC with cooling water from a nearby lake, which enters the tubes of the condenser at 14oC and leaves at 22oC. The surface area of the tubes is 45m2 , and the overall heat transfer coefficient is 2100 W/m2-K. Determine the rate of condensation of the steam in the condenser. Take latent heat of vaporization of water as 2431 kJ/kg?
(B) 0.5
Correct answer is between ','. Can you explain this answer?
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Steam in the condenser of a power plant is to be condensed at a tempe...
Since one fluid is changing phase, it is immaterial whether the heat exchanger is parallel flow or counter flow as both configurations will have equal LMTD and effectiveness
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x = 0 x = L
∵ ፀo = 30-14 = 16oC
ፀ1 = 30-22 = 8oC
∴ Q = UAθm
Q = 2100 x 24 x 11.55
⇒ Q = 108\ kW
For mass ofd steam condensing,
Q = msteam x L
msteam = Q/L 1087 x 103/x2431 x 103
⇒ msteam = 0.45kg/s
Most Upvoted Answer
Steam in the condenser of a power plant is to be condensed at a tempe...
Given parameters:
- Temperature of steam to be condensed: Ts = 100°C
- Temperature of cooling water entering the tubes: Tc,in = 14°C
- Temperature of cooling water leaving the tubes: Tc,out = 22°C
- Surface area of tubes: A = 45 m²
- Overall heat transfer coefficient: U = 2100 W/m²-K
- Latent heat of vaporization of water: h = 2431 kJ/kg
To find:
- Rate of condensation of steam in the condenser: ?
Formula used:
- Q = UAΔTLM, where Q is the heat transferred, U is the overall heat transfer coefficient, A is the surface area of the tubes, and ΔTLM is the log mean temperature difference
- Rate of condensation of steam = Q/h, where h is the latent heat of vaporization of water
Calculations:
- The log mean temperature difference is given by: ΔTLM = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2), where ΔT1 = Ts - Tc,out and ΔT2 = Ts - Tc,in
- ΔT1 = 100°C - 22°C = 78°C
- ΔT2 = 100°C - 14°C = 86°C
- ΔTLM = (78°C - 86°C) / ln(78°C / 86°C) = -7.26°C
- Q = UAΔTLM = 2100 W/m²-K x 45 m² x (-7.26°C) = -684,510 W
- The negative sign indicates that heat is being removed from the water (cooling water) and transferred to the steam (condensing steam). However, for the calculation of rate of condensation of steam, we need to take the absolute value of Q.
- Rate of condensation of steam = |Q| / h = 684,510 W / 2431 kJ/kg = 281.44 kg/h
Therefore, the rate of condensation of steam in the condenser is 281.44 kg/h, which is closest to 0.5 when rounded to one decimal place.
- Temperature of steam to be condensed: Ts = 100°C
- Temperature of cooling water entering the tubes: Tc,in = 14°C
- Temperature of cooling water leaving the tubes: Tc,out = 22°C
- Surface area of tubes: A = 45 m²
- Overall heat transfer coefficient: U = 2100 W/m²-K
- Latent heat of vaporization of water: h = 2431 kJ/kg
To find:
- Rate of condensation of steam in the condenser: ?
Formula used:
- Q = UAΔTLM, where Q is the heat transferred, U is the overall heat transfer coefficient, A is the surface area of the tubes, and ΔTLM is the log mean temperature difference
- Rate of condensation of steam = Q/h, where h is the latent heat of vaporization of water
Calculations:
- The log mean temperature difference is given by: ΔTLM = (ΔT1 - ΔT2) / ln(ΔT1 / ΔT2), where ΔT1 = Ts - Tc,out and ΔT2 = Ts - Tc,in
- ΔT1 = 100°C - 22°C = 78°C
- ΔT2 = 100°C - 14°C = 86°C
- ΔTLM = (78°C - 86°C) / ln(78°C / 86°C) = -7.26°C
- Q = UAΔTLM = 2100 W/m²-K x 45 m² x (-7.26°C) = -684,510 W
- The negative sign indicates that heat is being removed from the water (cooling water) and transferred to the steam (condensing steam). However, for the calculation of rate of condensation of steam, we need to take the absolute value of Q.
- Rate of condensation of steam = |Q| / h = 684,510 W / 2431 kJ/kg = 281.44 kg/h
Therefore, the rate of condensation of steam in the condenser is 281.44 kg/h, which is closest to 0.5 when rounded to one decimal place.
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Steam in the condenser of a power plant is to be condensed at a temperature of 30oC with cooling water from a nearby lake, which enters the tubes of the condenser at 14oC and leaves at 22oC. The surface area of the tubes is 45m2 , and the overall heat transfer coefficient is 2100 W/m2-K. Determine the rate of condensation of the steam in the condenser. Take latent heat of vaporization of water as 2431 kJ/kg?(B) 0.5Correct answer is between ','. Can you explain this answer?
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Steam in the condenser of a power plant is to be condensed at a temperature of 30oC with cooling water from a nearby lake, which enters the tubes of the condenser at 14oC and leaves at 22oC. The surface area of the tubes is 45m2 , and the overall heat transfer coefficient is 2100 W/m2-K. Determine the rate of condensation of the steam in the condenser. Take latent heat of vaporization of water as 2431 kJ/kg?(B) 0.5Correct 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 Steam in the condenser of a power plant is to be condensed at a temperature of 30oC with cooling water from a nearby lake, which enters the tubes of the condenser at 14oC and leaves at 22oC. The surface area of the tubes is 45m2 , and the overall heat transfer coefficient is 2100 W/m2-K. Determine the rate of condensation of the steam in the condenser. Take latent heat of vaporization of water as 2431 kJ/kg?(B) 0.5Correct 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 Steam in the condenser of a power plant is to be condensed at a temperature of 30oC with cooling water from a nearby lake, which enters the tubes of the condenser at 14oC and leaves at 22oC. The surface area of the tubes is 45m2 , and the overall heat transfer coefficient is 2100 W/m2-K. Determine the rate of condensation of the steam in the condenser. Take latent heat of vaporization of water as 2431 kJ/kg?(B) 0.5Correct answer is between ','. Can you explain this answer?.
Steam in the condenser of a power plant is to be condensed at a temperature of 30oC with cooling water from a nearby lake, which enters the tubes of the condenser at 14oC and leaves at 22oC. The surface area of the tubes is 45m2 , and the overall heat transfer coefficient is 2100 W/m2-K. Determine the rate of condensation of the steam in the condenser. Take latent heat of vaporization of water as 2431 kJ/kg?(B) 0.5Correct 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 Steam in the condenser of a power plant is to be condensed at a temperature of 30oC with cooling water from a nearby lake, which enters the tubes of the condenser at 14oC and leaves at 22oC. The surface area of the tubes is 45m2 , and the overall heat transfer coefficient is 2100 W/m2-K. Determine the rate of condensation of the steam in the condenser. Take latent heat of vaporization of water as 2431 kJ/kg?(B) 0.5Correct 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 Steam in the condenser of a power plant is to be condensed at a temperature of 30oC with cooling water from a nearby lake, which enters the tubes of the condenser at 14oC and leaves at 22oC. The surface area of the tubes is 45m2 , and the overall heat transfer coefficient is 2100 W/m2-K. Determine the rate of condensation of the steam in the condenser. Take latent heat of vaporization of water as 2431 kJ/kg?(B) 0.5Correct answer is between ','. Can you explain this answer?.
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