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Problem 2 (28%) An inventor has proposed to build a device to continuously create hot and cold air from a high pressure air stream at room temperature, shown in Figure 1. She claims that she can feed air at 25°C and 10 bar into this device and obtain cold air (0°C and 1 bar) and hot air (40°C and 1 bar). The device has no energy input, no moving parts, and loses no heat to the surroundings. Assume a constant heat capacity Cp (air)~ 30 kJ/mol K. List any other assumptions you make in solving these problems. (a, 14%) Use the first law of thermodynamics to find the fraction of the feed air that can be converted to cold air at 0°C if 1 mole/s of air is fed to the device
25C high pressure air Cold airHot air Figure 1. Sketch of device used to separate a stream of air at 25°C and 10 bar into streams of cold air at 0°C and 1 bar and hot air at 40°C and 1 bar.
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