A sample of gas occupies a volume of 725ML at 825 tour at constant temperature what will the new pressure when the volume changes to the following 384 ml

To find the new pressure when the volume changes to 384 mL, we can use Boyle's Law, which states that the pressure of a gas is inversely proportional to its volume at constant temperature.

Mathematically, Boyle's Law can be written as:

P1V1 = P2V2

where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

Given:
P1 = 825 torr
V1 = 725 mL
V2 = 384 mL

Now we can rearrange the equation to solve for P2:

P2 = (P1V1) / V2
P2 = (825 torr * 725 mL) / 384 mL
P2 = 1561875 / 384
P2 ≈ 4065.36 torr

Therefore, the new pressure when the volume changes to 384 mL is approximately 4065.36 torr.