Which of the following gas laws can be combined to derive the ideal gas law equation?

• A. Charles's Law, Gay-Lussac's Law, and Henry's Law
• B. Boyle's Law, Dalton's Law, and Graham's Law
• C. Dalton's Law, Graham's Law, and Henry's Law
• D. Boyle's Law, Charles's Law, and Avogadro's Law

Answer: (D)

Verified step by step guidance

1. Identify the individual gas laws involved in the formation of the ideal gas law. The ideal gas law combines relationships between pressure (P), volume (V), temperature (T), and amount of gas (n).
2. Recall Boyle's Law, which relates pressure and volume at constant temperature and amount of gas: \(P \times V = \text{constant}\).
3. Recall Charles's Law, which relates volume and temperature at constant pressure and amount of gas: \(\frac{V}{T} = \text{constant}\).
4. Recall Avogadro's Law, which relates volume and amount of gas at constant temperature and pressure: \(\frac{V}{n} = \text{constant}\).
5. Combine these three laws by expressing volume as proportional to \(\frac{nT}{P}\), which leads to the ideal gas law equation: \(P \times V = n \times R \times T\), where \(R\) is the ideal gas constant.