Final answer:
To find the new volume of the oxygen, we can use Boyle's Law. The new volume is 3 times the initial volume, so the new volume is 3.00 L.
Step-by-step explanation:
To solve this problem, we can use Boyle's Law, which states that for a fixed amount of gas at a constant temperature, the volume of the gas is inversely proportional to the pressure of the gas. Mathematically, this can be represented as:
P1V1 = P2V2
Where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume respectively.
In this case, the initial volume is 1.00 L and the pressure decreases to 1/3 of the original pressure. Therefore, the final pressure is 1/3 * P1. We can substitute these values into Boyle's Law and solve for V2:
P1V1 = P2V2
(1.00 L) * P1 = (1/3 * P1) * V2
Simplifying the equation, we get:
V2 = 3 * V1
Thus, the new volume is 3 times the initial volume, which is 3.00 L.