A gas occupies 8.2 liters at 2.5 atm. What is the pressure if the volume becomes 7.5 L?
To find the pressure of the gas when the volume changes to 7.5 L, we can use Boyle's Law. Boyle's Law states that the pressure and volume of a gas are inversely proportional at a constant temperature.
Boyle's Law equation: P1V1 = P2V2
Where:
P1 = initial pressure (2.5 atm)
V1 = initial volume (8.2 L)
P2 = final pressure (to be determined)
V2 = final volume (7.5 L)
Using the equation, we can rearrange it to solve for P2:
P2 = (P1 * V1) / V2
Substituting the given values:
P2 = (2.5 atm * 8.2 L) / 7.5 L
P2 = 2.72 atm
Therefore, the pressure of the gas when the volume becomes 7.5 L is approximately 2.72 atm.