A gas is trapped inside a cylinder by a movable piston. The length of the gas column is 20 cm and the pressure inside the cylinder is p.*1 pointThe piston is pulled out a distance of 30 cm, so that the length of the gas column is now 50 cm.The temperature of the gas does not change.What is the new pressure of the gas?
Question
A gas is trapped inside a cylinder by a movable piston. The length of the gas column is 20 cm and the pressure inside the cylinder is p.*1 pointThe piston is pulled out a distance of 30 cm, so that the length of the gas column is now 50 cm.The temperature of the gas does not change.What is the new pressure of the gas?
Solution
The problem can be solved using Boyle's Law, which states that the pressure and volume of a gas have an inverse relationship when temperature is held constant.
In mathematical terms, Boyle's Law is expressed as P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.
In this case, the initial volume (V1) is 20 cm and the initial pressure (P1) is p. The final volume (V2) is 50 cm. We're asked to find the final pressure (P2).
Substituting the given values into Boyle's Law gives us:
p * 20 = P2 * 50
To solve for P2, we divide both sides of the equation by 50:
P2 = p * 20 / 50
So, the new pressure of the gas is 0.4p.
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