Final answer:
Using Boyle's Law, the volume of the F₂ gas at 5.5 atm is calculated to be approximately 5.45 ml, given the initial conditions of 25.0 ml at 1.2 atm.
Step-by-step explanation:
To solve the problem of how much volume a sample of F₂ gas will occupy in a syringe at 5.5 atm when it has a volume of 25.0 ml at 1.2 atm, we can use Boyle's Law. Boyle's Law states that the pressure of a gas times the volume is constant, so P1V1 = P2V2. By rearranging the formula, we can solve for the unknown volume (V2).
Using Boyle's Law:
- P1 = 1.2 atm (Initial pressure)
- V1 = 25.0 ml (Initial volume)
- P2 = 5.5 atm (Final pressure)
- V2 = ? (Final volume to be calculated)
Now we rearrange the formula to solve for V2:
V2 = (P1 × V1) / P2
V2 = (1.2 atm × 25.0 ml) / 5.5 atm
V2 = (30.0 ml · atm) / 5.5 atm
V2 = 5.4545 ml
Therefore, the volume of the F₂ gas sample at 5.5 atm would be approximately 5.45 ml.