Boyle's Law: Pressure inversely proportional to volume at constant temperature

Steps:

• Identify the law: For fixed mass and temperature, Boyle's Law states P ∝ 1/V, or PV = constant.
• Determine graph shape: Plotting P (y-axis) vs. V (x-axis) yields a hyperbolic curve decreasing from high P/low V to low P/high V.
• Evaluate options: Scan for the curve matching inverse relationship, not linear or direct proportionality.
• Select match: Option C displays the hyperbolic decrease.

Why C is correct:

• Boyle's Law (PV = k) requires P to decrease nonlinearly as V increases, forming a hyperbola.

Why the others are wrong:

• A shows direct proportionality (linear increase), violating inverse relation.
• B shows linear decrease, implying constant ratio, not PV = constant.
• D shows no change (horizontal line), ignoring volume's effect on pressure.

Final answer: C