A cylinder in your car holds 0.45 liters maximum at 760 Torr. When the cylinder is closed to 0.1 liters what is the pressure?
P1V1 = P2V2
To find the pressure when the cylinder is closed to 0.1 liters, we can use the principle of Boyle's Law. Boyle's Law states that the pressure and volume of a gas are inversely proportional, provided that the temperature remains constant.
The formula for Boyle's Law is:
P1 * V1 = P2 * V2
Where:
P1 = initial pressure (760 Torr)
V1 = initial volume (0.45 liters)
P2 = final pressure (unknown)
V2 = final volume (0.1 liters)
We can rearrange the formula to solve for P2:
P2 = (P1 * V1) / V2
Plugging in the given values, we get:
P2 = (760 Torr * 0.45 liters) / 0.1 liters
Now, let's calculate the pressure:
P2 = 342 Torr
Therefore, when the cylinder is closed to 0.1 liters, the pressure is approximately 342 Torr.