Boyle's Law for Constant Temperature

Steps:

• Temperature constant implies Boyle's law: P1 V1 = P2 V2.
• Volume proportional to height (constant area), so V1 ∝ 0.18 m, V2 ∝ 0.15 m.
• V1/V2 = 0.18/0.15 = 1.2.
• P2 = P1 × (V1/V2) = 1.0 × 10^5 × 1.2 = 1.2 × 10^5 N/m².

Why C is correct:

• Boyle's law requires pressure to increase inversely with volume decrease; 0.15/0.18 = 5/6, so P2 = P1 × 6/5 = 1.2 × 10^5 N/m².

Why the others are wrong:

• A: Assumes volume increase, opposite of actual decrease.
• B: Uses inverse ratio V2/V1 = 0.83, swapping volumes.
• D: Applies incorrect ratio, like 0.18/0.13 ≈ 1.4.

Final answer: C