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The reusable booster rockets of the U.S. space shuttle employ
a mixture of aluminum and ammonium perchlorate for fuel. A
possible equation for this reaction is
3Al1s2 1 3NH4ClO4 1s2 h

Al2O3 1s2 1 AlCl3 1s2 1 3NO1g2 1 6H2O1g2
What mass of NH4ClO4 should be used in the fuel mixture for
every kilogram of Al?

Respuesta :

The mass of NHâ‚„ClOâ‚„ needed to react for every kilogram of Al is 4.351 Kg

Balanced equation

We'll begin by writing the balanced equation for the reaction. This is illustrated below:

3Al + 3NH₄ClO₄ -> Al₂O₃ + AlCl₃ + 3NO + 6H₂O

Molar mass of Al = 27 g/mol

Mass of Al from the balanced equation = 3 × 27 = 81 g = 81 / 1000 = 0.081 Kg

Molar mass of NHâ‚„ClOâ‚„ = 117.5 g/mol

Mass of NH₄ClO₄ from the balanced equation = 3 × 117.5 = 352.5 g = 352.5 / 1000 = 0.3525 Kg

SUMMARY

From the balanced equation above,

0.081 Kg of Al reacted with 0.3525 Kg of NHâ‚„ClOâ‚„

How to determine the mass of NHâ‚„ClOâ‚„ needed to react with 1 Kg of Al

From the balanced equation above,

0.081 Kg of Al reacted with 0.3525 Kg of NHâ‚„ClOâ‚„

Therefore,

1 Kg of Al will react with = (1 × 0.3525) / 0.081 = 4.351 Kg of NH₄ClO₄

Thus, 4.351 Kg of NHâ‚„ClOâ‚„ is needed for the reaction.

Learn more about stoichiometry:

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