Boyle's Law: Inverse Pressure-Volume Relationship

Steps:

• Identify the law: For fixed mass and temperature, Boyle's Law states PV = constant.
• Derive relationship: Pressure P is inversely proportional to volume V, so P = k/V.
• Predict graph shape: Plotting P (y-axis) vs. V (x-axis) yields a hyperbolic curve decreasing from high P at low V to low P at high V.
• Match to options: Select the graph showing this inverse, nonlinear decrease.

Why B is correct:

• B depicts the hyperbolic curve matching P ∝ 1/V from Boyle's Law.

Why the others are wrong:

• A shows linear increase, implying direct proportion, not inverse.
• C shows linear decrease, implying constant ratio, not hyperbolic.
• D shows no change or constant pressure, ignoring volume effect.

Final answer: B