one of a handful of planned air car models can hit 68 mph and has a range of 125 miles. it will take only few minutes to refuel at gas station equipped with costume air compressor unit. it should cost around $2 to fill the car's carbon-fiber tanks with 340 liters of air at 4350 psi.
a) obtain maximum amount of work that can be obtained from the compressed air tank with volume and pressure stated above. what is the effective mileage of this engine ( mile per gallon of gasoline equivalent)? one gallon of gasoline provides 130 Mj of energy when burned.
b) calculate the power required to run the " custom air compressor units" mentioned int he article, in order to allow refilling of the tank in 5 min. what is the cost of electricity ( in $/kWh) give the $2 cost estimate for refueling?
Air can be considered an ideal gas with Cv= 5R/2. state all other assumptions.