1. A 3.0 gallon can, open to the surroundings, is sealed when the pressure is 1.0 atmospheres. The can is crushed to a volume of 1.5 gallon. What is the new pressure of air inside the can?

Question

1. A 3.0 gallon can, open to the surroundings, is sealed when the pressure is 1.0 atmospheres.  The can is crushed to a volume of 1.5 gallon.  What is the new pressure of air inside the can?

2. The can from question 1 is crushed even further until the pressure in the can is 5.0 atmospheres. What is the internal volume of the can now?

oobleck · Answer

assuming constant temperature, just plug in your numbers and solve for P2 in P1*V1 = P2*V2

help · Answer

How do I convert 3 gallon can to volume

oobleck · Answer

3 gallons IS a volume
Since you are using the same volume units on both sides of the equation, the actual units do not matter. There is no need to convert gallons to in^3 or cm^3 or liters.

So, for the 1st one, 1/2 the volume means twice the pressure.