To solve this problem, we can use Boyle's Law, which states that the volume of a gas is inversely proportional to its pressure when the moles of gas and temperature are held constant.
Boyle's Law equation is:
P1 * V1 = P2 * V2
Where: P1 = Initial pressure (1.00 ATM) V1 = Initial volume (250.0 mL) P2 = Final pressure (3.15 ATM) V2 = Final volume (unknown)
Plugging in the known values:
(1.00 ATM) * (250.0 mL) = (3.15 ATM) * V2
Simplifying the equation:
250.0 = 3.15 * V2
To solve for V2, we can divide both sides by 3.15:
V2 = 250.0 / 3.15
Calculating this:
V2 ≈ 79.37 mL
Therefore, the new volume, assuming the moles of gas and temperature are held constant, is approximately 79.37 mL.