At constant temperature, a sample of 3.0L of Argon gas at 2.0 atm is compressed until the new pressure is 3.524 atm. What is the new volume?
P1V1 = P2V2
To find the new volume of the Argon gas after compression, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when temperature is constant. Boyle's Law can be mathematically expressed as:
P1 * V1 = P2 * V2
Where:
P1 = Initial pressure of the gas
V1 = Initial volume of the gas
P2 = New pressure of the gas
V2 = New volume of the gas (what we need to find)
Now, let's plug in the given values into the equation:
(2.0 atm) * (3.0 L) = (3.524 atm) * V2
Simplifying the equation:
6.0 atm * L = 3.524 atm * V2
To solve for V2, divide both sides of the equation by 3.524 atm:
V2 = (6.0 atm * L) / 3.524 atm
V2 ≈ 1.702 L
Therefore, the new volume of the Argon gas after compression is approximately 1.702 L.