Question

You are the design engineer for a natural gas co-generation power facility shown in the diagram below. You have been asked if the facilitys exhaust gas can be fed to a greenhouse in order to grow plants without having to add a make up stream of air to cool it. This can be done if the temperature of the facilitys exhaust gas is less than 130°F (54.4°C) In steady state, the Gas engine is fed a stream of natural gas at 100 moles/s STP (25°C, 1 atm) The gas composition is methane and ethane in a mole ration of 19:1 . It is combusted with 20% excess dry air, which is also at STP; all the exhaust gases (CO., H,O, O., N.) exit the gas engine at 900°C, 1 atm. 55.42 kW of electric power are generated, heat is lost to the surroundings at a rate of 1.00 kW, and the rest of the heat from the gas engine is removed through the cooling water loop at Heat Exchanger#1. The exit temperature of the water from Heat exchanger#1 that becomes the feed stream for Heat exchanger#2 is 300°C. The Steam Generator feed is city water at 20.0°C. It removes heat from the Exhaust gas of the Gas engine to produce steam at 200.0°C at 5 atm The Exhaust gas exiting the steam generator is 200.0 °C, 1 atm. The Steam eventually returns to the Heat exchanger#1 after going through several processes (outside of the system diagram ); it returns at 200°C. The Facility exhaust gas exits the Heat exchanger#2 at 1 atm Heat exchanger Steam generator Heat exchanger Heating water fow and the same temperature as the Heating water flow

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