A cross-flow heat exchanger with both fluids unmixed has an overall heat transfer coefficient of 200 W/m2·K, and a heat transfer surface area of 400 m2. The hot fluid has a heat capacity of 40,000 W/K, while the cold fluid has a heat capacity of 80,000 W/K. If the inlet temperatures of both hot and cold fluids are 80°C and 20°C, respectively, determine (a) the exit temperature of the hot fluid and (b) the rate of heat transfer in the heat exchanger.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter7: Forced Convection Inside Tubes And Ducts
Section: Chapter Questions
Problem 7.46P
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A cross-flow heat exchanger with both fluids unmixed
has an overall heat transfer coefficient of 200 W/m2·K, and
a heat transfer surface area of 400 m2. The hot fluid has a heat
capacity of 40,000 W/K, while the cold fluid has a heat capacity
of 80,000 W/K. If the inlet temperatures of both hot and cold
fluids are 80°C and 20°C, respectively, determine (a) the exit temperature
of the hot fluid and (b) the rate of heat transfer in the heat
exchanger.

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