To determine the new pressure when the oxygen expands to 36 liters while maintaining the same temperature, we can use Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume at constant temperature.
According to Boyle's Law:
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
We are given: P1 = 6.0 ATM (initial pressure) V1 = 24 liters (initial volume) V2 = 36 liters (final volume)
Let's substitute these values into the equation and solve for P2:
6.0 ATM * 24 liters = P2 * 36 liters
144 = 36P2
Dividing both sides by 36:
144 / 36 = P2
P2 ≈ 4.0 ATM
Therefore, when the oxygen expands to 36 liters at the same temperature, the new pressure would be approximately 4.0 ATM.