A compound was analyzed and found to contain 52.17% C, 13.13% H and 34.78% O. What is the empirical formula for the compound? O CH3O O C₂H4O O C4H1202 O C₂H₂O
A compound was analyzed and found to contain 52.17% C, 13.13% H and 34.78% O. What is the empirical formula for the compound? O CH3O O C₂H4O O C4H1202 O C₂H₂O
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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![**Determining the Empirical Formula of a Compound**
**Problem Statement:**
A compound was analyzed and found to contain 52.17% Carbon (C), 13.13% Hydrogen (H), and 34.78% Oxygen (O). What is the empirical formula for the compound?
**Options:**
- A) CH₃O
- B) C₂H₄O
- C) C₄H₁₂O₂
- D) C₂H₆O
**Explanation:**
To find the empirical formula, follow these steps:
1. **Convert percentages to grams:**
Assume you have 100 grams of the compound. This means you would have:
- 52.17 grams of Carbon
- 13.13 grams of Hydrogen
- 34.78 grams of Oxygen
2. **Convert grams to moles:**
Use the atomic masses of the elements (C: 12.01 g/mol, H: 1.01 g/mol, O: 16.00 g/mol) to find the moles of each element:
- Moles of Carbon: \( \frac{52.17 \text{ g}}{12.01 \text{ g/mol}} = 4.34 \text{ moles} \)
- Moles of Hydrogen: \( \frac{13.13 \text{ g}}{1.01 \text{ g/mol}} = 13.00 \text{ moles} \)
- Moles of Oxygen: \( \frac{34.78 \text{ g}}{16.00 \text{ g/mol}} = 2.17 \text{ moles} \)
3. **Divide by the smallest number of moles:**
This will give the smallest whole number ratio:
- Ratio for Carbon: \( \frac{4.34}{2.17} = 2 \)
- Ratio for Hydrogen: \( \frac{13.00}{2.17} = 6 \)
- Ratio for Oxygen: \( \frac{2.17}{2.17} = 1 \)
4. **Write the empirical formula:**
The empirical formula that corresponds to the smallest whole number ratio of C:H:O is \( \text{C}_2\text{H}_6\text{O} \).
Therefore, the correct](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9de95467-8766-4670-8442-783f9816c074%2F68e2bdf1-3b45-4fbb-a4bb-d8f58cb7ee7d%2F3pbanxp_processed.png&w=3840&q=75)
Transcribed Image Text:**Determining the Empirical Formula of a Compound**
**Problem Statement:**
A compound was analyzed and found to contain 52.17% Carbon (C), 13.13% Hydrogen (H), and 34.78% Oxygen (O). What is the empirical formula for the compound?
**Options:**
- A) CH₃O
- B) C₂H₄O
- C) C₄H₁₂O₂
- D) C₂H₆O
**Explanation:**
To find the empirical formula, follow these steps:
1. **Convert percentages to grams:**
Assume you have 100 grams of the compound. This means you would have:
- 52.17 grams of Carbon
- 13.13 grams of Hydrogen
- 34.78 grams of Oxygen
2. **Convert grams to moles:**
Use the atomic masses of the elements (C: 12.01 g/mol, H: 1.01 g/mol, O: 16.00 g/mol) to find the moles of each element:
- Moles of Carbon: \( \frac{52.17 \text{ g}}{12.01 \text{ g/mol}} = 4.34 \text{ moles} \)
- Moles of Hydrogen: \( \frac{13.13 \text{ g}}{1.01 \text{ g/mol}} = 13.00 \text{ moles} \)
- Moles of Oxygen: \( \frac{34.78 \text{ g}}{16.00 \text{ g/mol}} = 2.17 \text{ moles} \)
3. **Divide by the smallest number of moles:**
This will give the smallest whole number ratio:
- Ratio for Carbon: \( \frac{4.34}{2.17} = 2 \)
- Ratio for Hydrogen: \( \frac{13.00}{2.17} = 6 \)
- Ratio for Oxygen: \( \frac{2.17}{2.17} = 1 \)
4. **Write the empirical formula:**
The empirical formula that corresponds to the smallest whole number ratio of C:H:O is \( \text{C}_2\text{H}_6\text{O} \).
Therefore, the correct
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