Which of the following represent Gay Lussac’s law? I. P constant T II. P T P T III. P V P V Choose t — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

# Gay-Lussac's Law Analysis **Gay-Lussac's Law Statement:** At constant volume, the pressure of a gas is directly proportional to its absolute temperature. $$\frac{P}{T} = \text{constant} \quad \text{or} \quad \frac{P_1}{T_1} = \frac{P_2}{T_2}$$ ## Evaluating Each Option: **I. P ∝ constant T** - This is **incorrect**. It suggests P is proportional to a constant times T, which is nonsensical notation. **II. P ∝ T or $\frac{P}{T} = \text{constant}$** - This is **correct**. This directly represents Gay-Lussac's law: pressure is directly proportional to absolute temperature at constant volume. **III. P ∝ V or $\frac{P}{V} = \text{constant}$** - This is **incorrect**. This represents Boyle's Law (inverse relationship at constant T), not Gay-Lussac's law. ## Conclusion: Only **Statement II** correctly represents Gay-Lussac's law. **Answer: D** (which represents only statement II being correct)