A gas sample occupying a volume of 88.7 mL at a pressure of O.917 atm is allowed to expand at constant temperature until its pressure reaches 0.335 atm. what is its final volume?

P1V1 = P2V2

242.80 mL

To find the final volume of the gas sample, we can use Boyle's Law. Boyle's Law states that at constant temperature, the pressure and volume of a gas are inversely proportional.

The equation for Boyle's Law is:

P1 * V1 = P2 * V2

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

Given:
Initial pressure (P1) = 0.917 atm
Initial volume (V1) = 88.7 mL
Final pressure (P2) = 0.335 atm

Let's substitute these values into the equation and solve for V2:

(0.917 atm) * (88.7 mL) = (0.335 atm) * V2

Now, let's simplify the equation:

(0.917 * 88.7) / 0.335 = V2

V2 = (80.02579) / 0.335

V2 ≈ 238.69 mL

Therefore, the final volume of the gas sample is approximately 238.69 mL.