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Example 7 How many atoms (total) are in 25.97 grams of carbon monoxide?

Example 7 How many atoms (total) are in 25.97 grams of carbon monoxide?

Chemistry
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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**Example 7** How many atoms (total) are in 25.97 grams of carbon monoxide? *Solution:* Carbon monoxide (CO) is composed of one carbon atom and one oxygen atom. To find out the total number of atoms in 25.97 grams of carbon monoxide, you need to: 1. **Calculate the molar mass of carbon monoxide.** - Carbon (C) has an atomic mass of approximately 12.01 g/mol. - Oxygen (O) has an atomic mass of approximately 16.00 g/mol. - Molar mass of CO = 12.01 + 16.00 = 28.01 g/mol. 2. **Determine the number of moles in 25.97 grams.** - Number of moles = mass / molar mass - Number of moles = 25.97 g / 28.01 g/mol ≈ 0.927 moles 3. **Calculate the total number of molecules using Avogadro's number.** - Avogadro's number = \(6.022 \times 10^{23}\) molecules/mol - Total number of CO molecules = 0.927 moles × \(6.022 \times 10^{23}\) molecules/mol ≈ \(5.58 \times 10^{23}\) molecules 4. **Determine the total number of atoms.** - Each CO molecule has 2 atoms (1 carbon and 1 oxygen). - Total number of atoms = \(5.58 \times 10^{23}\) molecules × 2 atoms/molecule ≈ \(1.12 \times 10^{24}\) atoms Thus, there are approximately \(1.12 \times 10^{24}\) atoms in 25.97 grams of carbon monoxide.
Transcribed Image Text:**Example 7** How many atoms (total) are in 25.97 grams of carbon monoxide? *Solution:* Carbon monoxide (CO) is composed of one carbon atom and one oxygen atom. To find out the total number of atoms in 25.97 grams of carbon monoxide, you need to: 1. **Calculate the molar mass of carbon monoxide.** - Carbon (C) has an atomic mass of approximately 12.01 g/mol. - Oxygen (O) has an atomic mass of approximately 16.00 g/mol. - Molar mass of CO = 12.01 + 16.00 = 28.01 g/mol. 2. **Determine the number of moles in 25.97 grams.** - Number of moles = mass / molar mass - Number of moles = 25.97 g / 28.01 g/mol ≈ 0.927 moles 3. **Calculate the total number of molecules using Avogadro's number.** - Avogadro's number = \(6.022 \times 10^{23}\) molecules/mol - Total number of CO molecules = 0.927 moles × \(6.022 \times 10^{23}\) molecules/mol ≈ \(5.58 \times 10^{23}\) molecules 4. **Determine the total number of atoms.** - Each CO molecule has 2 atoms (1 carbon and 1 oxygen). - Total number of atoms = \(5.58 \times 10^{23}\) molecules × 2 atoms/molecule ≈ \(1.12 \times 10^{24}\) atoms Thus, there are approximately \(1.12 \times 10^{24}\) atoms in 25.97 grams of carbon monoxide.
**Example 8** How many sodium ions are in 12.5 grams of Na₂SO₄?
Transcribed Image Text:**Example 8** How many sodium ions are in 12.5 grams of Na₂SO₄?
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