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In the counter flow heat exchange, for the hot fluid the specific heat is 3 kJ/kg K, mass flow rate is 6 kg/s, inlet temperature is 150 °C and outlet temperature is 100 °C. For the cold fluid, the specific heat is 3 kJ/kg K, mass flow rate is 8 kg/s, inlet temperature is 20 °C. Neglecting the heat transfer to surrounding, the outlet temperature of the cold fluid in °C is ________.
  • a)
    7.5
  • b)
    57.5
  • c)
    46.6
  • d)
    60
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In the counter flow heat exchange, for the hot fluid the specific hea...
Given that
Cph = 3 kJ/kg-K = 3000 J/kg K, mh = 6 kg/s
Cpc = 3 kJ/kg K = 3000 J/kg K. , mc = 8 kg/s
Ch = mh x Cph = 6 x 3000 = 18 x 103 J/K
Cc = mc x Cpc = 8 x 3000 = 24 x 103 J/K
Now, Thi = 150°C, The = 100°C, Tci = 20°C
Apply energy conservation principle:
Heat lost by hot fluid = heat lost by cold fluid
Ch (Thi - The) = Cc (Tce - Tci)
18 x 103 (150 - 100) = 24 x 103 (Tce - 20)
Tce = 20 + (150/4)
Tce = 57.5°C
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In the counter flow heat exchange, for the hot fluid the specific heat is 3 kJ/kg K, mass flow rate is 6 kg/s, inlet temperature is 150 °C and outlet temperature is 100 °C. For the cold fluid, the specific heat is 3 kJ/kg K, mass flow rate is 8 kg/s, inlet temperature is 20 °C. Neglecting the heat transfer to surrounding, the outlet temperature of the cold fluid in °C is ________.a)7.5b)57.5c)46.6d)60Correct answer is option 'B'. Can you explain this answer?
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