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

1 answer

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.