Outside air is to be mixed with interior air and then sent to a heating and humidifying system. The humidifier uses evaporation of liquid water to achieve humidification. The outside air has a temperature of 2°C and a relative humidity of 60%. The interior air has a temperature of 20°C and a relative humidity of 40%. The heating and humidifying system is to deliver 1.5 m3/s of air at 24°C and a relative humidity of 60% to the space. The pressures of all the moist air streams are 1 atm. The heating system uses heat produced in the combustion of a fuel. The combustion process provides 28,500 kJ/kg of fuel. The cost of the fuel is $1.60/kg of fuel. Plot the cost of the fuel as a function of outside air used in the mixed stream, as the percentage of the outside air varies between 0% and 100%.
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