Chapter 8: Problem 61
The commonly used pain reliever, aspirin, has the molecular formula \(\mathrm{C}_{9} \mathrm{H}_{8} \mathrm{O}_{4} .\) If a sample of aspirin contains \(0.968 \mathrm{~g}\) of carbon, what is the mass of hydrogen in the sample? (a) \(0.717 \mathrm{~g}\) (b) \(0.0717 \mathrm{~g}\) (c) \(8.000 \mathrm{~g}\) (d) \(0.645 \mathrm{~g}\)
Short Answer
Step by step solution
Calculate the molar mass of aspirin
Determine the mass of aspirin
Calculate the mass of hydrogen
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Molar Mass
- Carbon (C): 12 g/mol
- Hydrogen (H): 1 g/mol
- Oxygen (O): 16 g/mol
- 9 Carbon atoms: \(9 \times 12 = 108 \text{ g/mol}\)
- 8 Hydrogen atoms: \(8 \times 1 = 8 \text{ g/mol}\)
- 4 Oxygen atoms: \(4 \times 16 = 64 \text{ g/mol}\)
Mass Percentage
Chemical Composition
- 9 atoms of Carbon (C)
- 8 atoms of Hydrogen (H)
- 4 atoms of Oxygen (O)
Aspirin
- Aspirin is soluble in water, which is why it can be ingested and absorbed quickly by the body.
- The specific arrangement of atoms allows it to block certain pathways that cause pain, making it an effective analgesic.
- Its efficacy and low cost have made it a staple in medical use around the world.