the volume of a gas is 250 mL at 350 kPa pressure. what will the volume be when the pressure is reduced to 50 kPa, assuming the temperature remains constant?
To find the new volume, we can use Boyle's Law. Boyle's Law states that for a fixed amount of gas at a constant temperature, the pressure and volume of the gas are inversely proportional to each other. Mathematically, this can be represented as:
P1 * V1 = P2 * V2
Where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume. In this case, we know P1 = 350 kPa, V1 = 250 mL, P2 = 50 kPa, and we need to find V2.
Plugging the known values into the equation:
350 kPa * 250 mL = 50 kPa * V2
Simplifying the equation:
(350 * 250) / 50 = V2
Now we can calculate V2:
V2 = (350 * 250) / 50
V2 = 1750 mL
Therefore, the volume will be 1750 mL when the pressure is reduced to 50 kPa, assuming the temperature remains constant.