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The air standard cycle assumes that the process can be modeled as a closed flow system (Rankine cycle boiler or air conditioner), even for an open flow ( gas powered internal combustion motor, turbine, or turbo jet). The only other assumption that is commonly made in entry level thermodynamics courses is that the air mixture inside of the the device can be modeled as an ideal gas.
Any further assumptions would be based off the devices used in the cycle, such as nozzles, turbines and well you get the picture.
Also note that because you are using an ideal gas for an air standard cycle, you can use all assumptions of a cold air standard, where heat capacities are assumed to be constant.
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