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?
Boyle's law.
P2V2=P1V1
V2=2*3/3.524 liters.
To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature.
Boyle's Law can be stated 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, we are given the following information:
Initial pressure (P1) = 2.0 atm
Initial volume (V1) = 3.0 L
Final pressure (P2) = 3.524 atm
We need to find the final volume (V2).
Using Boyle's Law equation, we can rearrange it to solve for V2:
V2 = (P1 * V1) / P2
Plugging in the given values:
V2 = (2.0 atm * 3.0 L) / 3.524 atm
Simplifying the equation:
V2 = 6.0 L / 3.524
Calculating the final volume (V2):
V2 ≈ 1.702 L
Therefore, the new volume of the Argon gas is approximately 1.702 L.