Assume a chemical reaction car has a fixed mass of 500 grams without the load an

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Assume a chemical reaction car has a fixed mass of 500 grams without the load and without the fuel. Acompetition director has told you that your car must earn- an additional 500 grams of load and your vehicle must travel a distance of 30 m. The "powerplant" for your reaction car is a cylindrical tank separated into two chambers: the reaction chamber and the product gas tank The volume of the product gas tank is 1 Kter. A 25 wt % solution of hydrogen peroxide will be introduced into the reaction chamber (the bottom portion of the tank), where it will decompose using a silver catalyst The product gas (oxygen) will then expand into the 1 litre gas tank Initially the volume above the liquid is filled with air at 101 kPa. Once the decomposition reaction is complete (i.e.99.5% of the H202has decomposed) and the tank is filled, a nozzle will open to allow the pressurized oxygen to leave the tank at high velocity, creating thrust by the expulsion of the oxygen through the nozzle. The gas mass flowrate (kg.s-1), from the nozzle is given by (m = CDp) where CD is die discharge coefficient(m3 s-l)and p is the gas density in the vessel. You need to: l) Det ermine how much fuel must be added to the vessel to achieve the above load and the distance target?. 2)Also, show that the distance the reaction car will travel is equal to the 30m target.? (Assume then the reaction proceed: at a temperature of 300 K such that the only gas phase product is oxygen Assume the ideal gas law- applies and that the reaction has 1st-order kinetics) DATA (Given): Assume outside pressure = 101k?a Volume of vessel VT = 1 Litre Temperature is constant at 300K Mass of vessel is fix ed at 1kg. (Ignore the mass change of the vessel due to gas loss) The molecular weight of air = 28g mol. The nozzle diameter = 0.1cm. The discharge coefficient is 0.0002 m3s.-l The drag coefficient of the loaded vehicle is 0.03 {{The rate of reaction is 1st order in {H202} with an activation energy of 52.6kJ mol. The 1" order rate constant can be written as:

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