Calculate the mass of hydrogen formed when 81 g of aluminum reacts with excess hydrochloric acid according to the balanced equation below.Al + HCl → AlCl3 + H2
Question
Calculate the mass of hydrogen formed when 81 g of aluminum reacts with excess hydrochloric acid according to the balanced equation below.
Solution
To solve this problem, we need to follow these steps:
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Write down the balanced chemical equation: 2Al + 6HCl → 2AlCl3 + 3H2
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Calculate the molar mass of Aluminum (Al) which is approximately 26.98 g/mol.
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Calculate the number of moles of Aluminum (Al) in 81g. Moles = mass/molar mass = 81g / 26.98 g/mol = 3 moles
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From the balanced chemical equation, we can see that the ratio of Al to H2 is 2:3. This means that for every 2 moles of Al, 3 moles of H2 are produced.
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So, if we have 3 moles of Al, we will have (3/2)*3 = 4.5 moles of H2.
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The molar mass of H2 (Hydrogen gas) is approximately 2.02 g/mol.
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Finally, calculate the mass of H2 formed by multiplying the number of moles by the molar mass. Mass = moles * molar mass = 4.5 moles * 2.02 g/mol = 9.09 g
So, the mass of hydrogen formed when 81 g of aluminum reacts with excess hydrochloric acid is approximately 9.09 g.
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