Gas laws identification: “The absolute pressure of a fixed mass of a perfect gas varies inversely with its volume at constant temperature.” Does this statement describe Charles’ law?

Introduction / Context:Several classical gas laws describe limiting relationships among p, V, and T. Correctly matching statements to their proper names avoids confusion in thermodynamics and fluid mechanics calculations.

Given Data / Assumptions:

• Ideal gas behavior.
• Temperature held constant (isothermal condition) in the statement.
• Fixed mass of gas.

Concept / Approach:The statement “pressure varies inversely with volume at constant temperature” is Boyle’s law, not Charles’ law. Charles’ law states that for a fixed mass at constant pressure, volume is directly proportional to absolute temperature (V ∝ T). Meanwhile, Gay-Lussac’s law states that at constant volume, pressure is proportional to temperature (p ∝ T). Recognizing which variable is held constant is the key to correct identification.

Step-by-Step Solution:

Verification / Alternative check:Mnemonic: B (Boyle) links p and V; C (Charles) links V and T; G (Gay-Lussac) links p and T—each with the third variable constant.

Why Other Options Are Wrong:

• Yes: Mislabels Boyle’s law as Charles’ law.
• Other qualifiers: Temperature or gas type limitations are irrelevant to the naming.

Common Pitfalls:Swapping Boyle and Charles due to both being simple proportionality laws; forgetting which variable is constant in each statement.

Final Answer:No