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Assuming a balloon holds a volume of 3 liters at 6 ATA, what will its volume be when taken to 3 ATA?
3 liters
9 liters
6 liters
1.5 liters
The correct answer is: 6 liters
To determine the volume of the balloon when taken from a pressure of 6 ATA to a pressure of 3 ATA, one can apply Boyle's Law, which states that the pressure and volume of a gas are inversely proportional, provided the temperature remains constant. The relationship can be expressed with the formula: P1V1 = P2V2, where P is pressure and V is volume. At 6 ATA, the volume of the balloon is 3 liters. If we take the balloon to a pressure of 3 ATA, we can rearrange Boyle's Law to solve for the new volume (V2): V2 = (P1V1) / P2 Substituting the values into the equation: - P1 = 6 ATA - V1 = 3 liters - P2 = 3 ATA V2 = (6 ATA * 3 liters) / 3 ATA When calculating this, the ATA units cancel out: V2 = 6 * 3 / 3 = 6 liters. Thus, the balloon's volume expands to 6 liters when taken to a lower pressure of 3 ATA. The reason this choice is correct is that it accurately reflects the inverse relationship dictated