How Do You Determine the Empirical Formula from Combustion Data?

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SUMMARY

The empirical formula of an organic compound can be determined from combustion data by analyzing the products of combustion. In this case, a 2.203g sample produced 1.32g of water (H2O) and 3.23g of carbon dioxide (CO2). The number of moles of H2O and CO2 were calculated to be 0.0733 mol each. The empirical formula was derived as CH2O, indicating the presence of carbon, hydrogen, and oxygen in the compound, with oxygen being inferred from the mass difference after accounting for carbon and hydrogen.

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  • Knowledge of molecular weights (e.g., H2O = 18 g/mol, CO2 = 44 g/mol)
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Homework Statement


A 2.203g sample of an organic compound was extracted from a plant. When it was burned in oxygen, the hydrogen in the compound was converted to 1.32g of water and the carbon was oxidised to 3.23g of CO2. Find the empirical formula of the compound

2. The attempt at a solution
So I found the number of moles of H2O that were reacted using the n = m/Mr formula (so m(H2O) = 1.32g, Mr(H2O) = 18g/mol therefore n(H2O) = 0.0733mol).

Also, I found then number of CO2 the same way, and came out nicely that n(CO2) = 0.0733mol

Here was my first problem. The ratio of n(H2O) : n(CO2) = 0.0733 : 0.0733, but since there are two H atoms in H2O does that mean there is the equivalent of 0.1466mol of H2O (ie: 2 * n(H2O)) or does it mean there are 0.03665mol of H2O (through: 0.5 * n(H2O)). Which one is it and why?

The second problem I had is this. The answer says that the empirical formula of the compound is: CH2O. What I don't see is how they found the number of O. Also, I'm confused as to how they knew there was O in the compound, does Organic mean it has O in it? Because I always thought that organic meant it had carbon, and that was the only prerequisite?

Thanks for your help!
 
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That analysis only calculates C and H. Anything left over must be due to O.

1. Find the # grams of CO2 due only to carbon itself. (moles CO2/FW CO2)*(12grams C/ 1 mole C)

2. Repeat #1 using H2O.

3. Sum result of 1 & 2. Is it equal to 2.203 g? If not, what is missing?

4. Calculate moles of O.

5. Calculate empirical formula given results in 1, 2 & 4.
 

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