Boyle's Law: Inverse Pressure-Volume Relationship

Steps:

• Identify constant mass and temperature, indicating ideal gas behavior under Boyle's law.
• Recall Boyle's law: PV = constant for fixed n and T.
• Deduce V ∝ 1/P, so volume decreases hyperbolically as pressure increases.
• Match to graph showing decreasing V with increasing P, curving toward axes.

Why A is correct:

• Depicts hyperbolic inverse proportionality, matching PV = k where k is constant.

Why the others are wrong:

• B: Shows direct proportionality (linear increase), violating inverse relationship.
• C: Implies constant volume, ignoring pressure change.
• D: Suggests no clear relationship or incorrect trend, not aligning with Boyle's law.

Final answer: A