Final answer:
To find the new volume of the gas, we can use Boyle's Law. The final volume is found to be 62.50 mL.
Step-by-step explanation:
To solve this problem, we can use Boyle's Law, which states that for a given amount of gas at constant temperature, the product of the initial pressure and volume is equal to the product of the final pressure and volume.
In this case, the initial pressure is 1.00 atm, the initial volume is 250 mL, and the final pressure is 4.00 atm.
We need to find the final volume. Let's solve for it:
Initial pressure x Initial volume = Final pressure x Final volume
(1.00 atm) x (250 mL) = (4.00 atm) x (Final volume)
Final volume = (1.00 atm) x (250 mL) / (4.00 atm) = 62.50 mL
Therefore, the new volume is 62.50 mL.