To determine the mass of carbon in the sample using combustion analysis, we can follow these steps:

Step 1: Calculate the moles of CO₂ produced

We know the mass of CO₂ produced is 4.06 g. Using the molar mass of CO₂ (44.01 g/mol), we can find the number of moles of CO₂:

$\text{Moles of CO}_2 = \frac{\text{Mass of CO}_2}{\text{Molar mass of CO}_2} = \frac{4.06 \, \text{g}}{44.01 \, \text{g/mol}} = 0.0923 \, \text{mol}$

Step 2: Calculate the moles of carbon

Each mole of CO₂ contains 1 mole of carbon. So, the moles of carbon in the sample are equal to the moles of CO₂ produced:

$\text{Moles of C} = 0.0923 \, \text{mol}$

Step 3: Calculate the mass of carbon

Now, we use the molar mass of carbon (12.01 g/mol) to calculate the mass of carbon:

$\text{Mass of C} = \text{Moles of C} \times \text{Molar mass of C} = 0.0923 \, \text{mol} \times 12.01 \, \text{g/mol} = 1.109 \, \text{g}$

Final Answer:

The mass of carbon in the sample is 1.11 g (rounded to three significant figures).

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Would you like further details on any step, or do you have questions?

Here are 5 related questions to consider:

1. How do you determine the mass of hydrogen in the sample from the given data?
2. How would you calculate the mass of oxygen in the original sample?
3. What is the empirical formula of the compound based on the combustion data?
4. How does the molar mass of CO₂ help in combustion analysis?
5. What role does oxygen play in combustion analysis of organic compounds?

Tip: Always ensure to double-check the molar mass values when performing stoichiometric calculations.