Answer:
According to Boyle's law, the pressure and volume of a gas are inversely proportional at constant temperature. That is,
P1V1 = P2V2
where P1 and V1 are the initial pressure and volume, respectively, and P2 and V2 are the final pressure and volume, respectively.
Using the formula, we can calculate the final pressure as:
P2 = (P1V1) / V2
where P1 = 1.14 atm, V1 = 15 mL, and V2 = 7 mL.
P2 = (1.14 atm × 15 mL) / 7 mL
P2 = 2.44 atm
Therefore, the pressure of the oxygen gas would increase to 2.44 atm when the syringe is compressed to a volume of 7 mL.