Mixed air temperature in air conditioning unit with 1.6 mass flow ratio

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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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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.