Applied Thermodynamics - Heat Exchanger problem

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SUMMARY

The discussion centers on a heat exchanger problem involving Refrigerant 134a and air, where the refrigerant enters as a superheated vapor at 10 bars and 60°C, and exits as a saturated liquid at the same pressure. The mass flow rate of the refrigerant is 10 kg/min, while the air enters at 37°C with a mass flow rate of 80 kg/min. The key equations utilized include conservation of mass (m(in) = m(out)) and conservation of energy (Q - W = m(h(out) - h(in))). The solution approach emphasizes analyzing the heat exchanger as an adiabatic system or using a two-system setup for heat transfer calculations.

PREREQUISITES
  • Understanding of thermodynamic principles, specifically conservation of mass and energy.
  • Familiarity with heat exchanger operations and configurations.
  • Knowledge of refrigerants, particularly Refrigerant 134a properties.
  • Ability to perform enthalpy calculations using specific heat capacities (cp).
NEXT STEPS
  • Study the thermodynamic properties of Refrigerant 134a at various pressures and temperatures.
  • Learn about different types of heat exchangers and their operational principles.
  • Explore the application of the First Law of Thermodynamics in steady-state systems.
  • Investigate methods for calculating exit temperatures in heat exchangers using energy balance equations.
USEFUL FOR

This discussion is beneficial for students and professionals in mechanical engineering, particularly those focusing on thermodynamics and heat transfer applications in HVAC systems and refrigeration technology.

asharp_pitt
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Homework Statement


Refrigerant 134a enters a heat exchanger operating at steady state as a superheated vapor at 10 bars, 60C, where it is cooled and condensed to saturated liquid at 10 bars. The mass flow rate of the refrigerant is 10 kg/min. A separate stream of air enters the heat exchanger at 37C with a mass flow rate of 80 kg/min. Ignoring heat transfer from outside of the heat exchanger and neglecting kinetic and potential energy...


Homework Equations


Determine the exit air temperature in degrees C.



The Attempt at a Solution



I started with my conservation of mass and energy equation, and I have

for C.O.M, since its a steady state process, I have m(in) = m(out)

for C.O.E, I have Q-W=m(h(out)-h(in)) and..switched the change in enthalpy to cp(T2-T1) to find T2..
 
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Is there something in particular you are stuck on with this problem? There are two ways to go about heat exchangers by system selection. Your first option is two analyze as an entire overall system noting that the entire system is adiabatic with respect to the environment (heat transfer out to the surroundings is usually negligible in comparison to the internal workings). The second option, that I prefer is to choose a two system setup where you note a continuity condition that the heat transfer out of one system is the heat transfer into the other system.
 

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