Boyle's Law states that the pressure and volume of a gas are inversely proportional, as long as the temperature remains constant. This means that we can use the formula:
P1V1 = P2V2
where P1 and V1 are the pressure and volume at the initial state, and P2 and V2 are the pressure and volume at the final state.
We are given:
P1 = 1.05 atm
V1 = 136.5 mL
P2 = 1.42 atm
We can solve for V2:
P1V1 = P2V2
V2 = (P1V1) / P2
V2 = (1.05 atm x 136.5 mL) / 1.42 atm
V2 = 100.9 mL (rounded to one decimal place)
Therefore, the volume of air when the pressure is increased to 1.42 atm is about 100.9 mL.