Final answer:
Using Boyle's Law, the final volume of the gas in the capsule after it is compressed from 1.00 atm to 3.25 atm is calculated to be 0.154 L, which corresponds to option a.
Step-by-step explanation:
The question involves applying Boyle's Law, which states that for a given mass of gas at constant temperature, the volume of a gas is inversely proportional to the pressure. The formula for Boyle's Law is P1 × V1 = P2 × V2, 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 conditions are P1 = 1.00 atm and V1 = 0.500 L. The final pressure P2 is given as 3.25 atm. We need to solve for the final volume V2, so we rearrange the equation to V2 = (P1 × V1) / P2 = (1.00 atm × 0.500 L) / 3.25 atm, which gives us V2 = 0.154 L. So, the correct option is a. 0.154 L.