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?

Step-by-step solution

Using Boyle's Law at constant temperature: P₁ V₁ = P₂ V₂ Given P₁ = 1 atm , V₁ = 10.0 cm ^3 , and P₂ = 3.5 atm . Substituting the values: 1 10.0 = 3.5 V₂ V₂ = 10.0 3.5 = 2.857 cm ^3 Rounding to appropriate significant figures, V₂ = 2.86 cm ^3 . Answer: 2.86 cm ^3