To find the volume of the balloon when the pressure is increased to 3 ATM while keeping the temperature constant, you can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature.
Boyle's Law equation:
P₁ * V₁ = P₂ * V₂
Where: P₁ = Initial pressure (1 ATM) V₁ = Initial volume (5 Liters) P₂ = Final pressure (3 ATM) V₂ = Final volume (unknown)
Rearranging the equation to solve for V₂:
V₂ = (P₁ * V₁) / P₂
Plugging in the values:
V₂ = (1 ATM * 5 Liters) / 3 ATM
V₂ ≈ 1.67 Liters
Therefore, the volume of the balloon will be approximately 1.67 Liters when the pressure is increased to 3 ATM at a constant temperature.