To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional, assuming constant temperature and amount of gas.
Boyle's Law equation can be written as:
P1 * V1 = P2 * V2
Where: P1 = Initial pressure of the gas V1 = Initial volume of the gas P2 = Final pressure of the gas V2 = Final volume of the gas
Given: P1 = 13.1 atm V1 = 24.8 L P2 = 1.06 atm
We need to solve for V2.
Using the Boyle's Law equation, we can rewrite it as:
V2 = (P1 * V1) / P2
Substituting the given values:
V2 = (13.1 atm * 24.8 L) / 1.06 atm
V2 ≈ 305.66 L
Therefore, the final volume of the gas when it is released at a pressure of 1.06 atm with no change in temperature and amount of gas is approximately 305.66 liters.