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:**Question**
Which of the following quantities have the largest mass?
- 6.024 x 10²³ N₂ molecules
- 0.8 moles of N₂
- 38 grams of N₂
**Explanation**
This question asks you to compare three different quantities of nitrogen (N₂) to determine which has the largest mass.
1. **6.024 x 10²³ N₂ molecules**: This is approximately one mole of nitrogen molecules because one mole of any substance contains Avogadro's number of molecules, which is 6.022 x 10²³.
2. **0.8 moles of N₂**: This quantity is slightly less than one mole, which can be compared directly with other moles or converted to grams using the molar mass of N₂.
3. **38 grams of N₂**: Given directly in grams, this quantity can be compared with the others using the molar mass of nitrogen.
To solve the problem, convert each quantity to the same unit (grams or moles) and then compare them directly:
- **Molar Mass of N₂**: Approximately 28 grams per mole.
- **Comparison**:
- 6.024 x 10²³ molecules ≈ 1 mole ≈ 28 grams
- 0.8 moles of N₂ ≈ 0.8 x 28 grams = 22.4 grams
- 38 grams is given directly.
Among the options, 38 grams of N₂ has the largest mass.
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