Solve Stoichometry: Al + HCl to get 1g H2

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The reaction between aluminum (Al) and hydrochloric acid (HCl) produces aluminum chloride (AlCl3) and hydrogen gas (H2). To yield 1 gram of hydrogen gas, 8.922 grams of metallic aluminum is required. The balanced chemical equation is 2 Al + 6 HCl → 2 AlCl3 + 3 H2. The calculations involve converting grams of aluminum to moles and using stoichiometric ratios to find the required mass. The solution process was confirmed as correct by other participants in the discussion.
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Homework Statement



Elemental (metallic) aluminum (Al) is reacted with HCl to yield aluminum chloride (AlCl3) and hydrogen gas (H2). How many grams of metallic aluminum would be required to produce 1 gram of pure hydrogen gas?


Homework Equations



Al + HCl --> AlCl3 + H2

Balance Reaction: 2 Al + 6 HCl --> 2 AlCl3 + 3 H2



The Attempt at a Solution



let Z = the amount of Al needed

Z g Al * (1 mol Al / 26.98 g Al) * (3 mol H2/2 mol Al) * (2.02 g H2/1 mol H2) = 1 g H2

(6.04764 * Z) / 53.96 = 1

Z = 8.922 g Al

I was hoping someone could look over this and see if did the correct process and came up with the right answer.

Thanks!
 
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