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Show below is the combustion of benzene, C6H6.C6H6 + O2--> CO2 + H2O1,004 grams of benzene are supplied and some excess air. If3,105 grams of carbon dioxide are produced, compute for the percentage yield.Write your final answer in two decimal places.Use the following mass numbers:C - 12 g/molH - 1 g/molO - 16 g/mol

Question

Show below is the combustion of benzene, C6H6.C6H6 + O2--> CO2 + H2O1,004 grams of benzene are supplied and some excess air. If3,105 grams of carbon dioxide are produced, compute for the percentage yield.Write your final answer in two decimal places.Use the following mass numbers:C - 12 g/molH - 1 g/molO - 16 g/mol

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Solution

To calculate the percentage yield, we first need to determine the theoretical yield of CO2 from the combustion of benzene.

Step 1: Calculate the molar mass of benzene (C6H6) The molar mass of benzene is (612 g/mol C) + (61 g/mol H) = 78 g/mol.

Step 2: Calculate the moles of benzene used The moles of benzene used is 1,004 g / 78 g/mol = 12.87 mol.

Step 3: Determine the stoichiometry of the reaction From the balanced chemical equation, we can see that 1 mol of benzene produces 6 mol of CO2.

Step 4: Calculate the theoretical yield of CO2 The theoretical yield of CO2 is 12.87 mol * 6 = 77.22 mol.

Step 5: Convert the theoretical yield to grams The molar mass of CO2 is (12 g/mol C) + (2*16 g/mol O) = 44 g/mol. So, the theoretical yield in grams is 77.22 mol * 44 g/mol = 3,397.68 g.

Step 6: Calculate the percentage yield The percentage yield is (actual yield / theoretical yield) * 100%. The actual yield is given as 3,105 g. So, the percentage yield is (3,105 g / 3,397.68 g) * 100% = 91.37%.

So, the percentage yield of the reaction is 91.37%.

This problem has been solved

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