Question

Which from following is true according to Gay-Lussac's law?

• A. $\frac{\text{V}}{\text{T}} = \text{constant}$ at constant pressure and for fixed mass of gas.
• B. $\frac{\text{P}}{\text{d}} = \text{constant}$ at constant temperature and fixed mass of gas.
• C. $\frac{\text{P}}{\text{T}} = \text{constant}$ at constant volume and fixed mass of gas.
• D. $\text{P} \times \text{V} = \text{constant}$ at constant temperature and for fixed mass of gas.

Hint:

Boyle: $PV=k$; Charles: $V/T=k$; Gay-Lussac: $P/T=k$.

Answer 1

The Correct Option is C

Step 1: Concept Gay-Lussac's Law states that the pressure of a fixed mass of gas is directly proportional to its absolute temperature at constant volume.

Step 2: Meaning $P \propto T$, which implies $P = k \cdot T$.

Step 3: Analysis Rearranging the expression gives $\frac{P}{T} = \text{constant}$.

Step 4: Conclusion Option (C) correctly identifies the mathematical representation of Gay-Lussac's law. Final Answer: (C)