According to Boyle's Law, when the temperature of a gas is kept constant, the product of the initial pressure (P1) and the initial volume (V1) is equal to the product of the final pressure (P2) and the final volume (V2). Mathematically, it can be expressed as:
P1 * V1 = P2 * V2
Given that the initial pressure (P1) is 3.0 ATM, the initial volume (V1) is 5.0 L, and the final pressure (P2) is 10.0 ATM, we can rearrange the equation to solve for the final volume (V2):
V2 = (P1 * V1) / P2
Plugging in the values, we have:
V2 = (3.0 ATM * 5.0 L) / 10.0 ATM V2 = 15.0 L / 10.0 V2 = 1.5 L
Therefore, the gas's new volume is 1.5 liters.