Answer:
1.67 atm
Explanation:
Boyle's Law relates pressure and volume with the following equation:
[tex]P_{1} V_{1} = P_{2} V_{2}[/tex]
We are given 3 of the four variables in the equation, and are asked to find the final volume. Therefore:
P1 = 2.50 atm
V1 = 2.00 L
P2 = ???
V2 = 3.00 L
We substitute our variables into the equation and solve for our unknown:
(2.50atm)(2.00L) = (P2)(3.00L)
(2.50atm)(2.00L)/(3.00L) = (P2)
5/3 = 1.67atm
This supports Boyle's Law, which tells us that pressure and volume of a gas are inversely proportional. The volume increased by 1/3, so the pressure decreased by 1/3.
