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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 produce 242 grams of Al(C2H3O2)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 produce 242 grams of Al(C2H3O2)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

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Solution

To solve this problem, we first need to determine the molar mass of each compound involved in the reaction.

  1. Calculate the molar mass of HC2H3O2 (acetic acid): H: 1 g/mol C: 12 g/mol O: 16 g/mol So, HC2H3O2 = 1(1 g/mol) + 2(12 g/mol) + 3(1 g/mol) + 2(16 g/mol) = 60 g/mol

  2. Calculate the molar mass of Al(C2H3O2)3 (aluminum acetate): Al: 27 g/mol C: 12 g/mol H: 1 g/mol O: 16 g/mol So, Al(C2H3O2)3 = 27 g/mol + 3[2(12 g/mol) + 3(1 g/mol) + 2(16 g/mol)] = 204 g/mol

  3. Use the stoichiometry of the reaction to determine the amount of HC2H3O2 needed to produce Al(C2H3O2)3. From the balanced chemical equation, we can see that 1 mole of HC2H3O2 produces 1 mole of Al(C2H3O2)3.

  4. Convert the given mass of Al(C2H3O2)3 to moles using its molar mass: Moles of Al(C2H3O2)3 = 242 g / 204 g/mol = 1.186 moles

  5. Since the stoichiometry of the reaction is 1:1, we need the same amount of moles of HC2H3O2 to produce this amount of Al(C2H3O2)3. So, we need 1.186 moles of HC2H3O2.

  6. Convert this amount of moles of HC2H3O2 to grams using its molar mass: Mass of HC2H3O2 = 1.186 moles * 60 g/mol = 71.16 g

So, we need approximately 71.16 grams of HC2H3O2 to produce 242 grams of Al(C2H3O2)3.

This problem has been solved

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