The chemical equation for the reaction of acetic acid with aluminum hydroxide to form water and aluminum acetate is presented below:HC2H3O2 + Al(OH)3 --> Al(C2H3O2)3 + H2OHow many grams of HC2H3O2 are needed to react completely with 443 grams of Al(OH)3?Write your final answer in two decimal places.Use the following mass numbers:C - 12 g/molH - 1 g/molO - 16 g/molAl - 27 g/mol
Question
The chemical equation for the reaction of acetic acid with aluminum hydroxide to form water and aluminum acetate is presented below:HC2H3O2 + Al(OH)3 --> Al(C2H3O2)3 + H2OHow many grams of HC2H3O2 are needed to react completely with 443 grams of Al(OH)3?Write your final answer in two decimal places.Use the following mass numbers:C - 12 g/molH - 1 g/molO - 16 g/molAl - 27 g/mol
Solution
First, we need to determine the molar mass of each compound involved in the reaction.
For acetic acid (HC2H3O2), the molar mass is calculated as follows: H: 1 g/mol * 4 = 4 g/mol C: 12 g/mol * 2 = 24 g/mol O: 16 g/mol * 2 = 32 g/mol Adding these together, the molar mass of HC2H3O2 is 60 g/mol.
For aluminum hydroxide (Al(OH)3), the molar mass is calculated as follows: Al: 27 g/mol * 1 = 27 g/mol O: 16 g/mol * 3 = 48 g/mol H: 1 g/mol * 3 = 3 g/mol Adding these together, the molar mass of Al(OH)3 is 78 g/mol.
From the balanced chemical equation, we can see that the molar ratio of HC2H3O2 to Al(OH)3 is 1:1. This means that one mole of HC2H3O2 reacts with one mole of Al(OH)3.
Next, we need to convert the mass of Al(OH)3 given in the problem (443 g) to moles. We do this by dividing the mass by the molar mass: 443 g Al(OH)3 * (1 mol Al(OH)3 / 78 g Al(OH)3) = 5.68 mol Al(OH)3
Since the molar ratio of HC2H3O2 to Al(OH)3 is 1:1, we need the same number of moles of HC2H3O2 to react completely with the Al(OH)3. Therefore, we need 5.68 moles of HC2H3O2.
Finally, we convert this amount from moles back to grams using the molar mass of HC2H3O2: 5.68 mol HC2H3O2 * (60 g HC2H3O2 / 1 mol HC2H3O2) = 340.80 g HC2H3O2
So, we need 340.80 grams of HC2H3O2 to react completely with 443 grams of Al(OH)3.
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