A cylinder of volume 2.3 L contains CO2 gas at 2.2 atm. A piston is pushed into the cylinder to decrease the volume to 1.2 L with no temperature change. What is the new pressure of the gas in atm?
im completely stuck on how to start this.
To solve this problem, you can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional when temperature is constant. The equation can be written as:
P1 x V1 = P2 x V2
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 initial volume (V1 = 2.3 L), initial pressure (P1 = 2.2 atm), and the final volume (V2 = 1.2 L).
Now we can plug in these values into the Boyle's Law equation:
(2.2 atm) x (2.3 L) = P2 x (1.2 L)
Next, rearrange the equation to solve for P2:
P2 = (2.2 atm x 2.3 L) / 1.2 L
Now you can calculate the new pressure:
P2 = 4.26 atm
Therefore, the new pressure of the gas in the cylinder is approximately 4.26 atm.