Final answer:
To solve for the final volume of a gas when the pressure is reduced, you can use Boyle's Law, which states that the volume of a gas is inversely proportional to its pressure. By substituting the given values into the equation, you can determine that the final volume will be 1700 mL.
Step-by-step explanation:
To solve this problem, we can use Boyle's Law, which states that the volume of a gas is inversely proportional to its pressure, assuming the temperature remains constant.
Boyle's Law can be expressed as:
V1 x P1 = V2 x P2
Where V1 is the initial volume, P1 is the initial pressure, V2 is the final volume, and P2 is the final pressure.
In this case, the initial volume is 250 mL and the initial pressure is 340 kPa. The final pressure is 50 kPa. We can substitute these values into the equation to solve for V2:
250 mL x 340 kPa = V2 x 50 kPa
Dividing both sides of the equation by 50 kPa:
V2 = (250 mL x 340 kPa) / 50 kPa
Simplifying the equation:
V2 = 1700 mL
Therefore, the volume of the gas will be 1700 mL when the pressure is reduced to 50 kPa, assuming the temperature remains constant.