Question
A syringe has a volume of 10.0\ cm ^3 at a pressure of 1 atm. If the end is sealed and the plunger is pushed down (constant temperature), what will be the final volume when the pressure becomes 3.5 atm?
A syringe has a volume of 10.0\ cm ^3 at a pressure of 1 atm. If the end is sealed and the plunger is pushed down (constant temperature), what will be the final volume when the pressure becomes 3.5 atm?
B. 2.86\ cm ^3
Using Boyle's Law at constant temperature: P_1 V_1 = P_2 V_2 Given P_1 = 1\ atm , V_1 = 10.0\ cm ^3, and P_2 = 3.5\ atm . Substituting the values: 1 10.0 = 3.5 V_2 V_2 = 10.0 3.5 = 2.857\ cm ^3 Rounding to appropriate significant figures, V_2 = 2.86\ cm ^3. Answer: 2.86\ cm ^3
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