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For this you would use Boyle's Law, P1V1 = P2V2. The first pressure and volume variables are before the change, while the second set are after the change. In this case, the volume is being changed and the pressure has to be solved for.

P1 = 1.30 ATM

V1 = 31.4 L

P2 = Unknown

V2 = 15.0 L

P1V1 = P2V2

1.30(31.4)=15.0P

P= 2.72 ATM

Looking at the question simply, you can get an estimate on the pressure because you can see that pressure and volume vary indirectly (if volume goes up, pressure goes down). If the volume is cut in half (roughly), then the pressure should increase by half.

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Q: A sample of gas has an initial volume of 31.4 at a pressure of 1.3 If the sample is compressed to a volume of 15.0 what will its pressure be Assume constant temperature?
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