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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![**Question 11 of 14**
Determine the number of atoms of O in 57.4 moles of Al₂(CO₃)₃.
---
To solve this problem:
1. **Identify the composition of the compound:**
- The chemical formula Al₂(CO₃)₃ includes aluminum (Al), carbon (C), and oxygen (O).
- Each formula unit of Al₂(CO₃)₃ contains 3 carbonate ions (CO₃²⁻).
2. **Determine the number of oxygen atoms per formula unit:**
- Each CO₃ ion contains 3 oxygen atoms.
- Therefore, Al₂(CO₃)₃ consists of 3 × 3 = 9 oxygen atoms per formula unit.
3. **Calculate the total number of moles of oxygen atoms in 57.4 moles of Al₂(CO₃)₃:**
- Total moles of oxygen = 57.4 moles × 9 = 516.6 moles of oxygen atoms.
4. **Convert moles of oxygen atoms to the number of atoms using Avogadro's number (6.022 × 10²³ atoms/mol):**
- Total number of oxygen atoms = 516.6 moles × 6.022 × 10²³ atoms/mol.
5. **Final calculation:**
- Total number of oxygen atoms ≈ 3.111 × 10²⁶ atoms.
This detailed step-by-step process helps determine the total number of oxygen atoms present in a given number of moles of the compound Al₂(CO₃)₃.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa04b93a0-8cb6-4c4e-81fa-ab66edf67455%2Fc72a485a-0bc5-4752-9621-3542dd851515%2F8jsd49_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 11 of 14**
Determine the number of atoms of O in 57.4 moles of Al₂(CO₃)₃.
---
To solve this problem:
1. **Identify the composition of the compound:**
- The chemical formula Al₂(CO₃)₃ includes aluminum (Al), carbon (C), and oxygen (O).
- Each formula unit of Al₂(CO₃)₃ contains 3 carbonate ions (CO₃²⁻).
2. **Determine the number of oxygen atoms per formula unit:**
- Each CO₃ ion contains 3 oxygen atoms.
- Therefore, Al₂(CO₃)₃ consists of 3 × 3 = 9 oxygen atoms per formula unit.
3. **Calculate the total number of moles of oxygen atoms in 57.4 moles of Al₂(CO₃)₃:**
- Total moles of oxygen = 57.4 moles × 9 = 516.6 moles of oxygen atoms.
4. **Convert moles of oxygen atoms to the number of atoms using Avogadro's number (6.022 × 10²³ atoms/mol):**
- Total number of oxygen atoms = 516.6 moles × 6.022 × 10²³ atoms/mol.
5. **Final calculation:**
- Total number of oxygen atoms ≈ 3.111 × 10²⁶ atoms.
This detailed step-by-step process helps determine the total number of oxygen atoms present in a given number of moles of the compound Al₂(CO₃)₃.
Expert Solution
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Introduction
there are molecules present in 1 mole of any substance.
This number is known as Avogadro's number.
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