Thermodynamics question about mass flow rate in an air conditioning unit?

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SUMMARY

The discussion focuses on calculating the mixed air temperature in an air conditioning unit where fresh air at 10°C is mixed with warm air at 30°C, with a mass flow rate ratio of 1.6 for warm to fresh air. The participants suggest using energy balance principles and specific heat calculations to derive the mixed air temperature, assuming constant specific heat. The conversation also touches on the importance of standard assumptions in thermodynamic problems related to heat engines and heat pumps.

PREREQUISITES
  • Understanding of mass flow rate and temperature mixing principles
  • Knowledge of specific heat capacity and its application in thermodynamics
  • Familiarity with energy balance equations in HVAC systems
  • Basic concepts of heat engines and heat pumps
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  • Research energy balance calculations in HVAC systems
  • Learn about specific heat capacity of air and its temperature dependence
  • Explore standard assumptions in thermodynamic analysis for heat engines
  • Investigate the impact of refrigerant choices on air conditioning efficiency
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Engineers, HVAC professionals, and students studying thermodynamics who are interested in air conditioning system design and performance optimization.

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1. In an air conditioning unit fresh air at 10°C is mixed with warm air at 30°C. If the mass flowrate ratio of warm to fresh air is 1.6, estimate the temperature at which the mixed air leaves the air conditioner. State any assumptions made.


and also do you always make the air standard assumptions for ALL heat engine and heat pump problems?


my attempt was mdot/mdot = flowrate ratio = change in temperature but then I don't think that makes sense, any help?
 
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Such a correlation would aid in system design and allow the examination of a full range of refrigerant choices.


air conditioner
 
One way to do it would be to may be calculate the energy in and energy out based off the specific heat of the air.
 
Assume constant specific heat vs. temperature and it's a high school-level problem.
 

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