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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 NH₄ClO₄ 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 NH₄ClO₄ = 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 NH₄ClO₄

How to determine the mass of NH₄ClO₄ needed to react with 1 Kg of Al

From the balanced equation above,

0.081 Kg of Al reacted with 0.3525 Kg of NH₄ClO₄

Therefore,

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

Thus, 4.351 Kg of NH₄ClO₄ is needed for the reaction.

Learn more about stoichiometry:

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