What volume will a 200. milliliter sample of a gas occupy when the pressure is cut in half?
volume doubles. PV=constant
To answer this question, you need to understand the relationship between volume and pressure for a gas sample. This relationship is described by Boyle's Law, which states that at a constant temperature, the product of the pressure and volume of a gas is constant.
According to Boyle's Law:
P1 * V1 = P2 * V2
Where:
P1 = initial pressure
V1 = initial volume
P2 = final pressure
V2 = final volume
In this case, you are given:
P1 = initial pressure (unknown)
V1 = initial volume (200 milliliters)
P2 = final pressure (pressure is cut in half, so P2 = P1/2)
V2 = final volume (unknown)
Since we know P2 = P1/2, we can substitute it into the Boyle's Law equation:
P1 * V1 = (P1/2) * V2
Simplifying the equation, we can isolate V2:
V2 = (P1 * V1) / (P1/2)
Now we can plug in the given values:
V2 = (P1 * 200) / (P1/2)
To calculate the volume, we need the initial pressure (P1). The question did not provide this information, so we cannot determine the exact volume at this point. If you have the initial pressure, you can substitute it into the equation to find the volume.