A cylinder with a moveable piston holds 3.00 of argon at a constant temperature of 300 . As the gas is compressed isothermally, its pressure increases from 101 to 125 .Find the final volume of the gas.Find the work done by the gas.Find the heat added to the gas.
To find the final volume of the gas, we can use Boyle's Law, which states that for a fixed amount of gas at constant temperature, the pressure and volume are inversely proportional. Mathematically, we can express this as P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.
Given:
Initial pressure (P1) = 101
Final pressure (P2) = 125
Initial volume (V1) = 3.00
Using Boyle's Law, we can rearrange the equation to solve for V2:
P1V1 = P2V2
V2 = (P1 * V1) / P2
Substituting the given values, we have:
V2 = (101 * 3.00) / 125
Calculating the final volume, we get:
V2 = 2.424
Therefore, the final volume of the gas is 2.424.