Math Problem Statement
A compound contains only carbon, hydrogen, nitrogen, and oxygen. Combustion of a 2.18 g sample burns in excess oxygen yields 3.94 g of CO2 and 1.89 g of H20. A separate experiment shows that a 1.23 g sample contains 0.235 g of N. Calculate the moles of C in the sample.
Solution
To find the moles of carbon in the sample, we can follow the steps outlined below:
Step 1: Find the moles of carbon in the sample.
When the compound combusts, all of the carbon present converts to CO₂. We can use the mass of CO₂ produced to calculate the amount of carbon in the sample.
Given:
- Mass of CO₂ = 3.94 g
- Molar mass of CO₂ = 44.01 g/mol
- Molar mass of carbon (C) = 12.01 g/mol
First, we calculate the moles of CO₂ produced:
Each mole of CO₂ contains one mole of carbon atoms, so:
Thus, the sample contains 0.08957 moles of carbon.
Summary:
- Moles of carbon in the sample = 0.08957 mol
Would you like to see the next steps or explanations for further analysis, such as the determination of hydrogen and nitrogen?
Here are some related questions to consider:
- How do you determine the amount of hydrogen in the sample?
- How can the empirical formula of the compound be calculated?
- What is the significance of the excess oxygen in combustion analysis?
- How do you calculate the molecular formula based on the empirical formula and molar mass?
- How do the elements nitrogen and oxygen factor into combustion analysis?
Tip: Always check the stoichiometry of the products to ensure the relationship between the elements and the compound formula is clear.
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Math Problem Analysis
Mathematical Concepts
Stoichiometry
Combustion Analysis
Mole Calculations
Formulas
Moles = Mass / Molar Mass
Moles of CO2 = Mass of CO2 / Molar Mass of CO2
Moles of Carbon = Moles of CO2 (since each CO2 molecule contains one carbon atom)
Theorems
Law of Conservation of Mass
Suitable Grade Level
Grades 10-12
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