It is thought that people develop respiratory infections during air travel because much of the airplane cabin

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It is thought that people develop respiratory infections during air travel because much of the airplane cabin air is recirculated. Airlines claim that using only fresh air in the cabins is too costly since at an altitude of 30 000 feet the outside conditions are −50C and 0.1 bar, so that the air would have to be compressed and heated before being introduced into the cabin. The airplane cabin has a volume of 100 m3 with air at the in-flight conditions of 25C and 0.8 bar. What would be the cost of completely refreshing the air every minute if air has a heat capacity of CP = 30 J/(mol K) and energy costs $0.2 per kW hr?

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