A sample of O2 (g) occupies a volume of 3.0 L at 700 mmHg, calculate its volume at 375mmHg.
P1V1 = P2V2
thanks!
To calculate the volume of a gas at a different pressure, you can use Boyle's Law, which states that the volume of a gas is inversely proportional to its pressure at constant temperature. Mathematically, it can be represented as follows:
P1 * V1 = P2 * V2
Where:
P1 = initial pressure
V1 = initial volume
P2 = final pressure
V2 = final volume
In this case, the initial pressure (P1) is 700 mmHg, the initial volume (V1) is 3.0 L, and the final pressure (P2) is 375 mmHg. We need to find the final volume (V2).
By rearranging the equation, we can solve for V2:
P1 * V1 = P2 * V2
V2 = (P1 * V1) / P2
Substituting the given values:
V2 = (700 mmHg * 3.0 L) / 375 mmHg
Now, let's calculate the final volume (V2):
V2 = 8400 mmHg·L / 375 mmHg
V2 = 22.4 L
Therefore, the volume of O2 gas at 375 mmHg is calculated to be 22.4 L.