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Cold water at 10oC enters a counter flow heat exchanger at a rate of 8 kg/s , where it is heated by a hot water that enters the heat exchanger at 70oC and flows at a rate of 2kh/s . Assume specific heat of water to be cp = 4.18 kJ/kgoC . Determine the maximum theoretical heat transfer rate?
- a)250 kW
- b)400 kW
- c)501.6 kW
- d)450 kW
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Cold water at 10oC enters a counter flow heat exchanger at a rate of ...
Given mh = 2 kg/s
Mc = 8 kg/s
cph = cpc = 4.18kj/kgo-C
∴ mhcph 2 x 4.18 = 8.36 kW/oC
mhcph 8 x 4.18 = 33.4 kW/oC
∴ mhcph < />ccpc
For maximum heat exchanger rate,
Qmax = (mcp)min(Thi - Tci)
⇒ Qmax = 8.36(70-10)
⇒ Qmax = 501.6 kW
Most Upvoted Answer
Cold water at 10oC enters a counter flow heat exchanger at a rate of ...
Given data:
- Cold water temperature (T1) = 10°C
- Hot water temperature (T2) = 70°C
- Cold water flow rate (m1) = 8 kg/s
- Hot water flow rate (m2) = 2 kg/s
- Specific heat of water (cp) = 4.18 kJ/kg°C
We need to determine the maximum theoretical heat transfer rate.
Approach:
The maximum theoretical heat transfer rate occurs when the hot water leaves the heat exchanger at the same temperature as the cold water enters it, i.e., when the temperature difference between the two fluids is zero. At this condition, the heat transfer rate is maximum.
We can use the following formula to calculate the maximum theoretical heat transfer rate:
Qmax = m1 * cp * (T2 - T1)
Where Qmax is the maximum theoretical heat transfer rate.
Calculation:
Substituting the given values in the formula, we get:
Qmax = 8 * 4.18 * (70 - 10) = 501.6 kW
Therefore, the maximum theoretical heat transfer rate is 501.6 kW, which is option (c).
- Cold water temperature (T1) = 10°C
- Hot water temperature (T2) = 70°C
- Cold water flow rate (m1) = 8 kg/s
- Hot water flow rate (m2) = 2 kg/s
- Specific heat of water (cp) = 4.18 kJ/kg°C
We need to determine the maximum theoretical heat transfer rate.
Approach:
The maximum theoretical heat transfer rate occurs when the hot water leaves the heat exchanger at the same temperature as the cold water enters it, i.e., when the temperature difference between the two fluids is zero. At this condition, the heat transfer rate is maximum.
We can use the following formula to calculate the maximum theoretical heat transfer rate:
Qmax = m1 * cp * (T2 - T1)
Where Qmax is the maximum theoretical heat transfer rate.
Calculation:
Substituting the given values in the formula, we get:
Qmax = 8 * 4.18 * (70 - 10) = 501.6 kW
Therefore, the maximum theoretical heat transfer rate is 501.6 kW, which is option (c).
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Cold water at 10oC enters a counter flow heat exchanger at a rate of 8 kg/s , where it is heated by a hot water that enters the heat exchanger at 70oC and flows at a rate of 2kh/s . Assume specific heat of water to be cp = 4.18 kJ/kgoC . Determine the maximum theoretical heat transfer rate?a) 250 kWb) 400 kWc) 501.6 kWd) 450 kWCorrect answer is option 'C'. Can you explain this answer?
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Cold water at 10oC enters a counter flow heat exchanger at a rate of 8 kg/s , where it is heated by a hot water that enters the heat exchanger at 70oC and flows at a rate of 2kh/s . Assume specific heat of water to be cp = 4.18 kJ/kgoC . Determine the maximum theoretical heat transfer rate?a) 250 kWb) 400 kWc) 501.6 kWd) 450 kWCorrect answer is option 'C'. 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 Cold water at 10oC enters a counter flow heat exchanger at a rate of 8 kg/s , where it is heated by a hot water that enters the heat exchanger at 70oC and flows at a rate of 2kh/s . Assume specific heat of water to be cp = 4.18 kJ/kgoC . Determine the maximum theoretical heat transfer rate?a) 250 kWb) 400 kWc) 501.6 kWd) 450 kWCorrect answer is option 'C'. 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 Cold water at 10oC enters a counter flow heat exchanger at a rate of 8 kg/s , where it is heated by a hot water that enters the heat exchanger at 70oC and flows at a rate of 2kh/s . Assume specific heat of water to be cp = 4.18 kJ/kgoC . Determine the maximum theoretical heat transfer rate?a) 250 kWb) 400 kWc) 501.6 kWd) 450 kWCorrect answer is option 'C'. Can you explain this answer?.
Cold water at 10oC enters a counter flow heat exchanger at a rate of 8 kg/s , where it is heated by a hot water that enters the heat exchanger at 70oC and flows at a rate of 2kh/s . Assume specific heat of water to be cp = 4.18 kJ/kgoC . Determine the maximum theoretical heat transfer rate?a) 250 kWb) 400 kWc) 501.6 kWd) 450 kWCorrect answer is option 'C'. 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 Cold water at 10oC enters a counter flow heat exchanger at a rate of 8 kg/s , where it is heated by a hot water that enters the heat exchanger at 70oC and flows at a rate of 2kh/s . Assume specific heat of water to be cp = 4.18 kJ/kgoC . Determine the maximum theoretical heat transfer rate?a) 250 kWb) 400 kWc) 501.6 kWd) 450 kWCorrect answer is option 'C'. 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 Cold water at 10oC enters a counter flow heat exchanger at a rate of 8 kg/s , where it is heated by a hot water that enters the heat exchanger at 70oC and flows at a rate of 2kh/s . Assume specific heat of water to be cp = 4.18 kJ/kgoC . Determine the maximum theoretical heat transfer rate?a) 250 kWb) 400 kWc) 501.6 kWd) 450 kWCorrect answer is option 'C'. Can you explain this answer?.
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Cold water at 10oC enters a counter flow heat exchanger at a rate of 8 kg/s , where it is heated by a hot water that enters the heat exchanger at 70oC and flows at a rate of 2kh/s . Assume specific heat of water to be cp = 4.18 kJ/kgoC . Determine the maximum theoretical heat transfer rate?a) 250 kWb) 400 kWc) 501.6 kWd) 450 kWCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Cold water at 10oC enters a counter flow heat exchanger at a rate of 8 kg/s , where it is heated by a hot water that enters the heat exchanger at 70oC and flows at a rate of 2kh/s . Assume specific heat of water to be cp = 4.18 kJ/kgoC . Determine the maximum theoretical heat transfer rate?a) 250 kWb) 400 kWc) 501.6 kWd) 450 kWCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Cold water at 10oC enters a counter flow heat exchanger at a rate of 8 kg/s , where it is heated by a hot water that enters the heat exchanger at 70oC and flows at a rate of 2kh/s . Assume specific heat of water to be cp = 4.18 kJ/kgoC . Determine the maximum theoretical heat transfer rate?a) 250 kWb) 400 kWc) 501.6 kWd) 450 kWCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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