Final answer:
To find the new volume, we can use Boyle's Law. Using the formula P1 x V1 = P2 x V2, we can rearrange it to solve for V2. Plugging in the given values, we find that the new volume is 4 liters.
Step-by-step explanation:
To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when temperature and amount are kept constant.
Boyle's Law can be expressed as:
P1 x V1 = P2 x V2
Where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.
Given that the initial volume is 2 liters and the initial pressure is 5.00 atm, and the final pressure is 2.50 atm:
P1 x V1 = P2 x V2
5.00 atm x 2.00 L = 2.50 atm x V2
10.00 = 2.50 x V2
V2 = 10.00 / 2.50
V2 = 4 liters
Therefore, the volume of the gas at a pressure of 2.50 atm will be 4 liters (option A).