?Solid fuel in the booster rockets for spacecraft consists of aluminum powder as the

Chapter 24, Problem 96

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Solid fuel in the booster rockets for spacecraft consists of aluminum powder as the fuel and ammonium perchlorate as the oxidizing agent.

\(3 \mathrm{NH}_{4} \mathrm{ClO}_{4}(s)+3 \mathrm{Al}(s) \longrightarrow \\ \mathrm{Al}_{2} \mathrm{O}_{3}(s)+\mathrm{AlCl}_{3}(s)+6 \mathrm{H}_{2} \mathrm{O}(g)+3 \mathrm{NO}(g)\)

If a rocket launch burns \(2.200 \times 10^{3} \mathrm{~kg}\) of aluminum, calculate the energy produced in joules. Calculate the volume of the gas produced, assuming it was cooled back to 298 K at 1 atm. The standard enthalpy of formation of solid ammonium perchlorate is -295.3 kJ/mol.

Text Transcription:

3 NH_4ClO_4(s) + 3 Al(s) longrightarrow Al_2O_3(s) + AlCl_3(s) + 6 H_2O( g) + 3 NO( g)

2.200 x 10^3 kg

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