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Cold water flowing at 0.1 kg/s is heated from 20°C to 70°C in a counter flow type heat exchanger by a hot water stream flowing at 0.1 kg/s and entering at 90°C. The specific heat of water is 4200 J/(kgK) and density is 1000 kg/m3. If the overall heat transfer coefficient U for the heat exchanger is 2000 W/(m2K), the required heat exchange area (in m2) is
[2011]
  • a)
    0.052
  • b)
    0.525
  • c)
    0.151
  • d)
    0.202
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Cold water flowing at 0.1 kg/s is heated from 20°C to 70°C in ...

Ch = Cc = 0.1 × 4200 = 420 J/s
Cc (Tc1 – Tc2) = Ch (Th1 – Th2)
(70 – 20) = 90° Th2
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Most Upvoted Answer
Cold water flowing at 0.1 kg/s is heated from 20°C to 70°C in ...
°C to 80°C. The specific heat capacity of water is 4.18 kJ/kg°C. How much heat energy is transferred to the water?

To calculate the heat energy transferred to the water, we can use the formula:

Q = m * c * ΔT

Where:
Q = heat energy transferred (in kJ)
m = mass of water (in kg)
c = specific heat capacity of water (in kJ/kg°C)
ΔT = change in temperature (in °C)

Given:
m = 0.1 kg/s
c = 4.18 kJ/kg°C
ΔT = 80°C - 20°C = 60°C

Substituting the given values into the formula, we get:

Q = 0.1 kg/s * 4.18 kJ/kg°C * 60°C
Q = 0.1 kg/s * 4.18 kJ/kg°C * 60°C
Q = 24.9 kJ/s

Therefore, the heat energy transferred to the water is 24.9 kJ/s.
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Cold water flowing at 0.1 kg/s is heated from 20°C to 70°C in a counter flow type heat exchanger by a hot water stream flowing at 0.1 kg/s and entering at 90°C. The specific heat of water is 4200 J/(kgK) and density is 1000 kg/m3. If the overall heat transfer coefficient U for the heat exchanger is 2000 W/(m2K), the required heat exchange area (in m2) is[2011]a)0.052b)0.525c)0.151d)0.202Correct answer is option 'B'. Can you explain this answer?
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