According to Boyle's law, the pressure and volume of a gas are inversely proportional. The factor by which the pressure increased is the same as the factor by which the volume increased. Here's the equation for Boyle's law, where P1 and V1 are the initial pressure and volume and P2 and V2 are the final pressure and volume:
P1 x V1 = P2 x V2
The information given is:
P1 = 1 atm
V1 = 1 liter
P2 = unknown
V2 = 350 ml = 0.35 liters
(1 atm)(1 liter) = (P2)(0.35 L)
P2 = (1 atm)(1 L)/(0.35 L) = 2.86 atm
It's a good idea to think about your answer and decide if it seems reasonable. Since the volume is decreasing to approximately one-third the original volume, this means that the pressure is increasing to approximately three times the original pressure. The answer is therefore reasonable.
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