As the scuba diver ascends rapidly to the surface at the given pressure, the volume of the nitrogen bubble at the surface becomes 0.021mL.
Boyle's law states that the volume V of a given quantity of gas is inversely proportional to its pressure P as long as temperature remains constant.
Boyle's law is expressed as;
P₁V₁ = P₂V₂
Where P₁ is Initial Pressure, V₁ is Initial volume, P₂ is Final Pressure and V₂ is Final volume.
Given the data in the question;
We substitute our given values into the expression above to find the final volume.
P₁V₁ = P₂V₂
[tex]V_2 = \frac{P_1V_1}{P_2} \\\\V_2 = \frac{4.1atm \ *\ 5.0*10^{-6}L}{1.0atm}\\ \\V_2 = \frac{4.1 \ *\ 5.0*10^{-6}L}{1.0}\\\\V_2 = 2.05*10^{-6}L\\\\V_2 = 0.021mL[/tex]
Therefore, as the scuba diver ascends rapidly to the surface at the given pressure, the volume of the nitrogen bubble at the surface becomes 0.021mL.
Learn more about Boyle's law: brainly.com/question/1437490
