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According to Boyle’s Law, the pressure of a fixed mass of gas at constant temperature is inversely proportional to its volume. Mathematically:
P1V1=P2V2P_1 V_1 = P_2 V_2P1V1=P2V2
If the volume becomes 3 times its original value, the pressure decreases to one-third:
P2=P13P_2 = \frac{P_1}{3}P2=3P1
This demonstrates that increasing volume lowers pressure when temperature remains constant. Other options like 3P or 6P are incorrect because pressure cannot increase as volume increases.
Boyle’s Law is a fundamental concept in physical chemistry and is widely applied in gas storage, balloons, pistons, and laboratory calculations.
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