Sulfur dioxide ( SO2 ) is a gas that causes acid rain . At the disposal of the fumes found 24 L found in the SO2 gas pressure of 200 torr . If the pressure is changed to 500 torr at a constant temperature , what is the volume of SO2 gas now ?

To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at a constant temperature.

Boyle's Law equation: P1V1 = P2V2

Given:
P1 = 200 torr (initial pressure)
V1 = 24 L (initial volume)
P2 = 500 torr (final pressure)
V2 = ? (final volume)

Since we want to find V2, we can rearrange the equation to solve for it:
V2 = (P1V1) / P2

Substituting the given values:
V2 = (200 torr * 24 L) / 500 torr

Now, let's calculate the final volume:
V2 = 9.6 L

Therefore, the volume of SO2 gas at a pressure of 500 torr and constant temperature would be 9.6 L.