A 8.074 gram sample of an organic compound containing C, H and O is analyzed by combustion analysis and 20.88 grams of CO₂ and 4.274 grams of H₂O are produced. In a separate experiment, the molar mass is found to be 136.2 g/mol. Determine the empirical formula and the molecular formula of the organic compound.
A 8.074 gram sample of an organic compound containing C, H and O is analyzed by combustion analysis and 20.88 grams of CO₂ and 4.274 grams of H₂O are produced. In a separate experiment, the molar mass is found to be 136.2 g/mol. Determine the empirical formula and the molecular formula of the organic compound.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:### Determining the Empirical and Molecular Formulas of an Organic Compound
In this exercise, you will learn how to determine the empirical and molecular formulas of an organic compound through combustion analysis.
#### Experimental Data:
- **Mass of the organic compound sample:** 8.074 grams
- **Mass of CO₂ produced:** 20.88 grams
- **Mass of H₂O produced:** 4.274 grams
- **Molar mass of the compound:** 136.2 g/mol
#### Diagram Description:
The diagram visualizes the combustion analysis process. It shows a container labeled “Sample” in which the organic compound is presumably combusted, leading to the production of CO₂ and H₂O.
#### Objectives:
Using the given data, calculate:
1. The **empirical formula** of the organic compound.
2. The **molecular formula** of the organic compound.
#### Steps for Determining Formulas:
1. **Calculate moles of C and H from combustion products:**
- **Carbon (C):** Each mole of CO₂ contains 1 mole of Carbon.
- Moles of CO₂ = 20.88 grams / 44.01 g/mol
- Moles of C = Moles of CO₂
- **Hydrogen (H):** Each mole of H₂O contains 2 moles of Hydrogen.
- Moles of H₂O = 4.274 grams / 18.02 g/mol
- Moles of H = 2 × Moles of H₂O
2. **Determine the mass of O in the compound sample:**
- **Oxygen (O):** Use the difference in mass to find the remainder which is the mass of Oxygen.
- Mass of O = Mass of sample - (mass of C + mass of H)
3. **Convert masses to moles using their respective molar masses:**
- Moles of O = (Mass of O) / 16.00 g/mol
4. **Find the simplest whole number ratio of moles of C, H, and O to determine the empirical formula.**
5. **Determine the molecular formula:**
- Using the empirical formula, calculate the empirical formula molar mass.
- Divide the given molar mass of the compound by the empirical formula molar mass to find the ratio.
- Apply this ratio to the empirical formula to obtain the
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