Final answer:
To find the final volume when the pressure is reduced, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional assuming constant temperature.
Step-by-step explanation:
In this case, we can use Boyle's Law to solve for the final volume. Boyle's Law states that the pressure and volume of a gas are inversely proportional assuming constant temperature. This can be represented mathematically as:
P1V1 = P2V2
Where P1 and V1 are the initial pressure and volume respectively, and P2 and V2 are the final pressure and volume respectively.
Using the given values, we can substitute into the equation:
(340.0 kPa)(250 mL) = (50.0 kPa)(V2)
Solving for V2, we get:
V2 = (340.0 kPa)(250 mL) / (50.0 kPa)
Calculating this expression, we find that the final volume will be approximately 1700 mL.