4. A container of gas has a volume of 3.5 L and a pressure of 0.8 atm. Assuming the temperature remains
constant, what volume of gas would result if the pressure was 0.5 atm?
A. 1.8 L
B. 5.6 L
C. 0.2 L
D. 2.2 L
My guess is B but I just want to double check
P1V1 = P2V2
The answer is 5.6 I take this test today and I make 90%
To solve this problem, you can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when the temperature remains constant. Boyle's Law can be expressed as:
P₁V₁ = P₂V₂
Where P₁ is the initial pressure, V₁ is the initial volume, P₂ is the final pressure, and V₂ is the final volume.
In this case, you are given:
P₁ = 0.8 atm
V₁ = 3.5 L
P₂ = 0.5 atm
V₂ = unknown
Now we can plug the given values into the equation:
0.8 atm * 3.5 L = 0.5 atm * V₂
Rearranging the equation to solve for V₂:
V₂ = (0.8 atm * 3.5 L) / 0.5 atm
V₂ = 2.8 L
Therefore, the correct answer is D. 2.8 L.