The volume of a gas sample is 200 L at 740 torr. What is its volume at 760 torr?
Use P1V1 = P2V2
To solve this problem, we can use Boyle's Law, which states that the volume of a gas is inversely proportional to its pressure, as long as the temperature and amount of gas remain constant.
Boyle's Law equation: P1 * V1 = P2 * V2
P1: Initial pressure (740 torr)
V1: Initial volume (200 L)
P2: Final pressure (760 torr)
V2: Final volume (unknown)
To find the final volume (V2), we can rearrange Boyle's Law equation:
V2 = (P1 * V1) / P2
Now we can substitute the given values:
V2 = (740 torr * 200 L) / 760 torr
V2 = 194.73 L
Therefore, the volume of the gas sample at 760 torr is approximately 194.73 L.