To determine the volume of 1 liter of an ideal gas when the pressure is tripled while keeping the temperature constant, we 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: P₁V₁ = P₂V₂
Where: P₁ is the initial pressure V₁ is the initial volume P₂ is the final pressure V₂ is the final volume
Given: Initial volume (V₁) = 1 liter Initial pressure (P₁) = Let's assume it to be 1 unit (arbitrary)
Final pressure (P₂) = 3 times the initial pressure (P₁) = 3 units
Now, we can calculate the final volume (V₂):
P₁V₁ = P₂V₂
1 unit * 1 liter = 3 units * V₂
V₂ = (1 unit * 1 liter) / (3 units)
V₂ ≈ 0.3333 liters
Therefore, when the pressure is tripled while keeping the temperature constant, the volume of 1 liter of an ideal gas would be approximately 0.3333 liters.