A 31.2 cm3 bubble of air at 1.4 atm pressure is subjected to a new pressure of 3.9 atm. What will be the new volume (cm3)? Assume constant temperature.
THe answer I got was 11.2 cm3
is this correct
To determine the new volume of the bubble, you can use Boyle's Law, which states that at constant temperature, the pressure and volume of a gas are inversely proportional.
Boyle's Law is represented by the equation: P1V1 = P2V2
Given data:
Initial pressure, P1 = 1.4 atm
Initial volume, V1 = 31.2 cm3
New pressure, P2 = 3.9 atm
New volume, V2 = ?
To find the new volume, you can rearrange Boyle's Law equation as follows:
V2 = (P1 * V1) / P2
Plugging in the values:
V2 = (1.4 atm * 31.2 cm3) / 3.9 atm
V2 ≈ 11.2 cm3
So, the correct new volume of the bubble is indeed approximately 11.2 cm3. Your answer is correct!